<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/' xmlns:blogger='http://schemas.google.com/blogger/2008' xmlns:georss='http://www.georss.org/georss' xmlns:gd="http://schemas.google.com/g/2005" xmlns:thr='http://purl.org/syndication/thread/1.0'><id>tag:blogger.com,1999:blog-3880792157378566593</id><updated>2026-04-06T13:11:44.464-07:00</updated><category term="Algoritmos"/><category term="Cadenas de Markov"/><category term="Numeros Aleatorias"/><category term="Algoritmo Genetico"/><category term="Diagrama de Operaciones"/><category term="Medidas de Rendimiento"/><category term="Paginas"/><category term="Entorno de Trabajo"/><category term="Estado Estable"/><category term="Modelos con un Servidor"/><category term="Poisson"/><category term="Simulacion Montecarlo"/><category term="Sistemas de Colas"/><category term="elementos de las Colas"/><category term="Análisis de Operación"/><category term="Análisis de Puesto"/><category term="Balance"/><category term="Conceptualidad"/><category term="Diagrama Bimanual"/><category term="Diagrama Ishikawa"/><category term="Diseño de Herramientas"/><category term="Distribución Exponencial"/><category term="Distribución de Kendall"/><category term="Ergonomia"/><category term="Estudio de Movimientos"/><category term="Higiene"/><category term="Hombre Maquina"/><category term="Implantación del Método"/><category term="Modelo Kendall"/><category term="Modelo de Servidores Multiples"/><category term="Muerte Puras"/><category term="Nacimientos Puros"/><category term="Propagación del Sonido"/><category term="Relación Compleja"/><category term="Seguridad"/><category term="Trabajo"/><category term="Trabajo Cognitivo"/><category term="Trabajo Manual"/><title type='text'>PrietoIngenieria</title><subtitle type='html'></subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default?redirect=false'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><link rel='next' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default?start-index=26&amp;max-results=25&amp;redirect=false'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>52</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-1277185050079746850</id><published>2013-02-26T07:40:00.001-08:00</published><updated>2013-02-26T07:40:11.139-08:00</updated><title type='text'>Características a la Hora de Establecer un Diseño Industrial</title><content type='html'>&lt;br /&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
Diseño Preliminar&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Planteamiento inicial de la necesidad.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Revisión del estado del arte del problema.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Recolección de datos cuantitativos y cualitativos.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Definición del problema.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
· Diseño Básico&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- División en subsistemas.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Planteamiento de alternativas de solución de subsistemas.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Selección de alternativas de solución.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;a href=&quot;https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcT2MZ52kP8kLGNIv_abqR43LGGbxgEkLHhax0oi7TH9Eo7RZRTZMg&quot; imageanchor=&quot;1&quot; style=&quot;clear: right; float: right; margin-bottom: 1em; margin-left: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;200&quot; src=&quot;https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcT2MZ52kP8kLGNIv_abqR43LGGbxgEkLHhax0oi7TH9Eo7RZRTZMg&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;- Integración de subsistemas.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
· Diseño De Detalle&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Selección de elementos comerciales.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Síntesis y análisis de piezas manufacturadas.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Integración de elementos y subsistemas.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Planos de ensamble y de taller.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
· Prototipos &amp;amp; Pruebas&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Prototipos: virtuales (CAD 3D, CAE, CAM) y reales.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Pruebas estáticas y dinámicas.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Retroalimentación.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
· Diseño Definitivo&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Planos definitivos: detalle, taller, ensamble y explosión.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Diseño de detalles estéticos y especificación de acabados.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Construcción de la pieza en serie.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
· Comunicación&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Bitácora de diseño.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Memorias de cálculo y planos.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Manuales de instalación, operación y mantenimiento.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Patente y registro comercial.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
- Catálogos comerciales.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
Material de apoyo&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;br /&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;iframe frameborder=&quot;0&quot; height=&quot;128&quot; scrolling=&quot;no&quot; src=&quot;https://skydrive.live.com/embed?cid=83B2CA4A96D2D35B&amp;amp;resid=83B2CA4A96D2D35B%212852&amp;amp;authkey=AHBCG3-IT9Clntk&quot; width=&quot;165&quot;&gt;&lt;/iframe&gt;</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/1277185050079746850/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2013/02/caracteristicas-la-hora-de-establecer.html#comment-form' title='1 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/1277185050079746850'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/1277185050079746850'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2013/02/caracteristicas-la-hora-de-establecer.html' title='Características a la Hora de Establecer un Diseño Industrial'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>1</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-1609950224408697087</id><published>2012-10-30T20:48:00.001-07:00</published><updated>2012-10-30T21:02:29.300-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Algoritmo Genetico"/><category scheme="http://www.blogger.com/atom/ns#" term="Algoritmos"/><title type='text'>La estructura de un algoritmo genético</title><content type='html'>&lt;!--[if gte mso 9]&gt;&lt;xml&gt;
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&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
Un algoritmo genético está descrito por tres módulos de
programación:&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;a)&lt;/b&gt;&amp;nbsp; &lt;b&gt;Modulo evolutivo, &lt;/b&gt;Es un mecanismo de
decodificación que interpreta la información de un cromosoma y tiene una función
de evaluación que mide la calidad del cromosoma.&amp;nbsp; Este es el único punto
donde existe información del dominio.&amp;nbsp;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
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&lt;b&gt;b)&lt;/b&gt;&amp;nbsp; &lt;b&gt;Modulo poblacional, &lt;/b&gt;Este módulo tiene
una representación poblacional y técnicas para manipularla.&amp;nbsp; Se utilizan
técnicas de representación, técnicas de arranque, criterios de selección y de
reemplazo.&amp;nbsp; Aquí también se define el tamaño de la población y la
condición de terminación.&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
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&lt;b&gt;c)&lt;/b&gt;&amp;nbsp; &lt;b&gt;Modulo reproductivo, &lt;/b&gt;Este módulo
contiene los operadores genéticos así como lo son el crossover, la mutación la
selección, entre otros.&lt;/div&gt;
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   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Shading 1 Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;64&quot; SemiHidden=&quot;false&quot;
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  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;65&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 1 Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; UnhideWhenUsed=&quot;false&quot; Name=&quot;Revision&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;34&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; QFormat=&quot;true&quot; Name=&quot;List Paragraph&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;29&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; QFormat=&quot;true&quot; Name=&quot;Quote&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;30&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; QFormat=&quot;true&quot; Name=&quot;Intense Quote&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;66&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 2 Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;67&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 1 Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;68&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 2 Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;69&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 3 Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;70&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Dark List Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;71&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful Shading Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;72&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful List Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;73&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful Grid Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;60&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light Shading Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;61&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light List Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;62&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light Grid Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;63&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Shading 1 Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;64&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Shading 2 Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;65&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 1 Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;66&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 2 Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;67&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 1 Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;68&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 2 Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;69&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 3 Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;70&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Dark List Accent 2&quot;/&gt;
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   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful Shading Accent 2&quot;/&gt;
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   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful List Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;73&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful Grid Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;60&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light Shading Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;61&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light List Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;62&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light Grid Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;63&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Shading 1 Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;64&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Shading 2 Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;65&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 1 Accent 3&quot;/&gt;
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   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 2 Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;67&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 1 Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;68&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 2 Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;69&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 3 Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;70&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Dark List Accent 3&quot;/&gt;
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   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful Shading Accent 3&quot;/&gt;
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   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful List Accent 3&quot;/&gt;
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   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light Shading Accent 4&quot;/&gt;
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&lt;/xml&gt;&lt;![endif]--&gt;&lt;!--[if gte mso 10]&gt;
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&lt;![endif]--&gt;&lt;!--[if gte mso 9]&gt;&lt;xml&gt;
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&lt;/xml&gt;&lt;![endif]--&gt;&lt;br /&gt;
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   &lt;w:DontGrowAutofit/&gt;
   &lt;w:SplitPgBreakAndParaMark/&gt;
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   &lt;w:DontFlipMirrorIndents/&gt;
   &lt;w:OverrideTableStyleHps/&gt;
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&lt;/xml&gt;&lt;![endif]--&gt;&lt;!--[if gte mso 9]&gt;&lt;xml&gt;
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  LatentStyleCount=&quot;267&quot;&gt;
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  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;9&quot; QFormat=&quot;true&quot; Name=&quot;heading 4&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;9&quot; QFormat=&quot;true&quot; Name=&quot;heading 5&quot;/&gt;
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  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;9&quot; QFormat=&quot;true&quot; Name=&quot;heading 7&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;9&quot; QFormat=&quot;true&quot; Name=&quot;heading 8&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;9&quot; QFormat=&quot;true&quot; Name=&quot;heading 9&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;39&quot; Name=&quot;toc 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;39&quot; Name=&quot;toc 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;39&quot; Name=&quot;toc 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;39&quot; Name=&quot;toc 4&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;39&quot; Name=&quot;toc 5&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;39&quot; Name=&quot;toc 6&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;39&quot; Name=&quot;toc 7&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;39&quot; Name=&quot;toc 8&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;39&quot; Name=&quot;toc 9&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;35&quot; QFormat=&quot;true&quot; Name=&quot;caption&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;10&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; QFormat=&quot;true&quot; Name=&quot;Title&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;0&quot; Name=&quot;Default Paragraph Font&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;11&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; QFormat=&quot;true&quot; Name=&quot;Subtitle&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;22&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; QFormat=&quot;true&quot; Name=&quot;Strong&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;20&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; QFormat=&quot;true&quot; Name=&quot;Emphasis&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;59&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Table Grid&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; UnhideWhenUsed=&quot;false&quot; Name=&quot;Placeholder Text&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;1&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; QFormat=&quot;true&quot; Name=&quot;No Spacing&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;60&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light Shading&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;61&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light List&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;62&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light Grid&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;63&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Shading 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;64&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Shading 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;65&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;66&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;67&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;68&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;69&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;70&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Dark List&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;71&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful Shading&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;72&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful List&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;73&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful Grid&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;60&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light Shading Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;61&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light List Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;62&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light Grid Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;63&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Shading 1 Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;64&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Shading 2 Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;65&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 1 Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; UnhideWhenUsed=&quot;false&quot; Name=&quot;Revision&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;34&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; QFormat=&quot;true&quot; Name=&quot;List Paragraph&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;29&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; QFormat=&quot;true&quot; Name=&quot;Quote&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;30&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; QFormat=&quot;true&quot; Name=&quot;Intense Quote&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;66&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 2 Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;67&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 1 Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;68&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 2 Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;69&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 3 Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;70&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Dark List Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;71&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful Shading Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;72&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful List Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;73&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful Grid Accent 1&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;60&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light Shading Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;61&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light List Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;62&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light Grid Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;63&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Shading 1 Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;64&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Shading 2 Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;65&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 1 Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;66&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 2 Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;67&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 1 Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;68&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 2 Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;69&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 3 Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;70&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Dark List Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;71&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful Shading Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;72&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful List Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;73&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful Grid Accent 2&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;60&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light Shading Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;61&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light List Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;62&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light Grid Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;63&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Shading 1 Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;64&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Shading 2 Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;65&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 1 Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;66&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 2 Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;67&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 1 Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;68&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 2 Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;69&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 3 Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;70&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Dark List Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;71&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful Shading Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;72&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful List Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;73&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful Grid Accent 3&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;60&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light Shading Accent 4&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;61&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light List Accent 4&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;62&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light Grid Accent 4&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;63&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Shading 1 Accent 4&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;64&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Shading 2 Accent 4&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;65&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 1 Accent 4&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;66&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 2 Accent 4&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;67&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 1 Accent 4&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;68&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 2 Accent 4&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;69&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 3 Accent 4&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;70&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Dark List Accent 4&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;71&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful Shading Accent 4&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;72&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful List Accent 4&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;73&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful Grid Accent 4&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;60&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light Shading Accent 5&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;61&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light List Accent 5&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;62&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light Grid Accent 5&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;63&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Shading 1 Accent 5&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;64&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Shading 2 Accent 5&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;65&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 1 Accent 5&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;66&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 2 Accent 5&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;67&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 1 Accent 5&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;68&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 2 Accent 5&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;69&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 3 Accent 5&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;70&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Dark List Accent 5&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;71&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful Shading Accent 5&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;72&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful List Accent 5&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;73&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful Grid Accent 5&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;60&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light Shading Accent 6&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;61&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light List Accent 6&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;62&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Light Grid Accent 6&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;63&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Shading 1 Accent 6&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;64&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Shading 2 Accent 6&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;65&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 1 Accent 6&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;66&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium List 2 Accent 6&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;67&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 1 Accent 6&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;68&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 2 Accent 6&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;69&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Medium Grid 3 Accent 6&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;70&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Dark List Accent 6&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;71&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful Shading Accent 6&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;72&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful List Accent 6&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;73&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; Name=&quot;Colorful Grid Accent 6&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;19&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; QFormat=&quot;true&quot; Name=&quot;Subtle Emphasis&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;21&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; QFormat=&quot;true&quot; Name=&quot;Intense Emphasis&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;31&quot; SemiHidden=&quot;false&quot;
   UnhideWhenUsed=&quot;false&quot; QFormat=&quot;true&quot; Name=&quot;Subtle Reference&quot;/&gt;
  &lt;w:LsdException Locked=&quot;false&quot; Priority=&quot;32&quot; SemiHidden=&quot;false&quot;
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</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/1609950224408697087/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/la-estructura-de-un-algoritmo-genetico.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/1609950224408697087'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/1609950224408697087'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/la-estructura-de-un-algoritmo-genetico.html' title='La estructura de un algoritmo genético'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-5843695647575441885</id><published>2012-10-30T20:46:00.001-07:00</published><updated>2012-10-30T21:00:48.765-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Algoritmo Genetico"/><category scheme="http://www.blogger.com/atom/ns#" term="Algoritmos"/><title type='text'>Funcionamiento de un algoritmo genético básico</title><content type='html'>&lt;!--[if gte mso 9]&gt;&lt;xml&gt;
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&lt;a href=&quot;https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcRGGRUVh0Wie6_nAdkzooqnkvg06iRHTJ72rMlMNelCIV5usZ6s&quot; imageanchor=&quot;1&quot; style=&quot;clear: right; float: right; margin-bottom: 1em; margin-left: 1em;&quot;&gt;&lt;img alt=&quot;&quot; border=&quot;0&quot; class=&quot;rg_hi uh_hi&quot; data-height=&quot;148&quot; data-width=&quot;245&quot; height=&quot;148&quot; id=&quot;rg_hi&quot; src=&quot;https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcRGGRUVh0Wie6_nAdkzooqnkvg06iRHTJ72rMlMNelCIV5usZ6s&quot; style=&quot;height: 148px; width: 245px;&quot; width=&quot;245&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span lang=&quot;ES&quot;&gt;Un algoritmo genético puede presentar diversas variaciones, dependiendo de
cómo se&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span lang=&quot;ES&quot;&gt; aplican los operadores genéticos (cruzamiento, mutación), de cómo se
realiza la selección y de cómo se decide el reemplazo de los individuos para
formar la nueva población. En general, el pseudocódigo consiste de los
siguientes pasos:&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span lang=&quot;ES&quot;&gt;&lt;b&gt;Inicialización&lt;/b&gt;: Se genera aleatoriamente la población inicial, que está
constituida por un conjunto de cromosomas los cuales representan las posibles
soluciones del problema. En caso de no hacerlo aleatoriamente, es importante
garantizar que dentro de la población inicial, se tenga la diversidad
estructural de estas soluciones para tener una representación de la mayor parte
de la población posible o al menos evitar la convergencia prematura.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span lang=&quot;ES&quot;&gt;&lt;b&gt;Evaluación&lt;/b&gt;: A cada uno de los cromosomas de esta población se aplicará la
función de aptitud para saber qué tan &quot;buena&quot; es la solución que se
está codificando.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span lang=&quot;ES&quot;&gt;Condición de término El AG se deberá
detener cuando se alcance la solución óptima, pero ésta generalmente se
desconoce, por lo que se deben utilizar otros criterios de detención.
Normalmente se usan dos criterios: correr el AG un número máximo de iteraciones
(generaciones) o detenerlo cuando no haya cambios en la población. Mientras no
se cumpla la condición de término se hace lo siguiente:&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span lang=&quot;ES&quot;&gt;Selección Después de saber la aptitud de cada cromosoma se procede a elegir
los cromosomas que serán cruzados en la siguiente generación. Los cromosomas
con mejor aptitud tienen mayor probabilidad de ser seleccionados.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span lang=&quot;ES&quot;&gt;&lt;b&gt;Recombinación o Cruzamiento&lt;/b&gt; La recombinación es el principal operador
genético, representa la reproducción sexual, opera sobre dos cromosomas a la
vez para generar dos descendientes donde se combinan las características de
ambos cromosomas padres.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;b&gt;&lt;span lang=&quot;ES&quot;&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span lang=&quot;ES&quot;&gt;&lt;b&gt;Mutación&lt;/b&gt; modifica al azar parte del
cromosoma de los individuos, y permite alcanzar zonas del espacio de búsqueda
que no estaban cubiertas por los individuos de la población actual.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span lang=&quot;ES&quot;&gt;Reemplazo una vez aplicados los operadores genéticos, se seleccionan los
mejores individuos para conformar la población de la generación siguiente&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/5843695647575441885/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/funcionamiento-de-un-algoritmo-genetico.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/5843695647575441885'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/5843695647575441885'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/funcionamiento-de-un-algoritmo-genetico.html' title='Funcionamiento de un algoritmo genético básico'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-5583630905398546305</id><published>2012-10-30T20:43:00.000-07:00</published><updated>2012-10-30T21:00:29.074-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Algoritmo Genetico"/><category scheme="http://www.blogger.com/atom/ns#" term="Algoritmos"/><title type='text'>Algoritmo Genetico</title><content type='html'>&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Algoritmo genético&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;a href=&quot;https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcQJ4RPyXgwOWo_zlwmgz8RaZvCigFBLbmE4nd1dujoVwmrR1SZuQA&quot; imageanchor=&quot;1&quot; style=&quot;clear: right; float: right; margin-bottom: 1em; margin-left: 1em;&quot;&gt;&lt;img alt=&quot;&quot; border=&quot;0&quot; class=&quot;rg_hi uh_hi&quot; data-height=&quot;163&quot; data-width=&quot;309&quot; height=&quot;163&quot; id=&quot;rg_hi&quot; src=&quot;https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcQJ4RPyXgwOWo_zlwmgz8RaZvCigFBLbmE4nd1dujoVwmrR1SZuQA&quot; style=&quot;height: 163px; width: 309px;&quot; width=&quot;309&quot; /&gt;&lt;/a&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Un algoritmo es una serie de pasos organizados que describe el proceso que se debe seguir, para dar solución a un problema específico. En los años 1970, de la mano de John Henry Holland, surgió una de las líneas más prometedoras de la inteligencia artificial, la de los algoritmos genéticos.1 Son llamados así porque se inspiran en la evolución biológica y su base genético-molecular. Estos algoritmos hacen evolucionar una población de individuos sometiéndola a acciones aleatorias semejantes a las que actúan en la evolución biológica (mutaciones y recombinaciones genéticas), así como también a una Selección de acuerdo con algún criterio, en función del cual se decide cuáles son los individuos más adaptados, que sobreviven, y cuáles los menos aptos, que son descartados. Es incluido dentro de los algoritmos evolutivos, que incluyen también las estrategias evolutivas, la programación evolutiva y la programación genética. Dentro de esta última se han logrado avances curiosos:&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Un algoritmo genético es un método de búsqueda dirigida basada en probabilidad. Bajo una condición muy débil (que el algoritmo mantenga elitismo, es decir, guarde siempre al mejor elemento de la población sin hacerle ningún cambio) se puede demostrar que el algoritmo converge en probabilidad al óptimo. En otras palabras, al aumentar el número de iteraciones, la probabilidad de tener el óptimo en la población tiende a 1 (uno).&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/5583630905398546305/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/algoritmo-genetico.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/5583630905398546305'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/5583630905398546305'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/algoritmo-genetico.html' title='Algoritmo Genetico'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-4302865403762696059</id><published>2012-10-30T09:15:00.000-07:00</published><updated>2012-10-30T06:51:17.355-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Cadenas de Markov"/><title type='text'>Matriz Fundamental Markov</title><content type='html'>&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;/div&gt;&lt;div style=&quot;text-align: center;&quot;&gt;&lt;br /&gt;
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&quot; 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&quot; 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&quot; 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&quot; 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&quot; 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&quot; 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style=&quot;cursor: move;&quot; /&gt;&lt;/a&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/4302865403762696059/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/matriz-fundamental-markov.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/4302865403762696059'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/4302865403762696059'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/matriz-fundamental-markov.html' title='Matriz Fundamental Markov'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-4197218296612732789</id><published>2012-10-30T09:10:00.000-07:00</published><updated>2012-10-30T06:51:50.947-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Cadenas de Markov"/><title type='text'>Teoremas Markovianos</title><content type='html'>Teorema 01&lt;br /&gt;
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Si en cada paso hay una probabilidad constante p de obtener un resultado favorable, el número esperado de pasos hasta obtener el primer caso favorable es 1/p.&lt;br /&gt;
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Si q = 1 - p a la probabilidad de obtener un resultado desfavorable&lt;br /&gt;
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Teorema 02&lt;br /&gt;
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Cadenas Absorbentes&lt;br /&gt;
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Hay solo dos tipos de estados (absorbentes y transientes), nos resultara conveniente llamar al conjunto de estados absorbentes A y al conjunto de estados transientes T.&lt;br /&gt;
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En una cadena absorbente y empezando en cualquier estado, sea Transiente o absorbente, tenemos una probabilidad positiva de llegar en algún momento a un estado absorbente. (En el grafo se observa: esto se refleja en que desde todo estado Transiente existe un camino (dirigido) hacia algún estado absorbente o para cada estado u existe un estado&amp;nbsp; y un número de pasos r tales que la probabilidad de ir desde u hasta v en r pasos es positiva.&lt;br /&gt;
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&lt;a href=&quot;data:image/png;base64,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&quot; imageanchor=&quot;1&quot; style=&quot;clear: right; float: right; margin-bottom: 1em; margin-left: 1em;&quot;&gt;&lt;img alt=&quot;&quot; border=&quot;0&quot; src=&quot;data:image/png;base64,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&quot; style=&quot;cursor: move;&quot; /&gt;&lt;/a&gt;En toda cadena de Markov absorbente, la probabilidad de absorción (que empezando en cualquier lugar se llegue a un estado absorbente) es&lt;br /&gt;
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&quot; 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&quot; /&gt;&lt;br /&gt;
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Teorema 03&lt;br /&gt;
&lt;br /&gt;
En una cadena de Markov absorbente cuya matriz canoníca tiene la forma de la ecuación&lt;br /&gt;
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&lt;img alt=&quot;&quot; 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&quot; 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</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/4197218296612732789/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/teoremas-markovianos.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/4197218296612732789'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/4197218296612732789'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/teoremas-markovianos.html' title='Teoremas Markovianos'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-5937187139124054741</id><published>2012-10-30T09:05:00.000-07:00</published><updated>2012-10-30T06:52:15.527-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Cadenas de Markov"/><title type='text'>Tipos de Cadenas de Markov</title><content type='html'>&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;ESTADO ABSORBENTE&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Estado absorbente: una vez que llego a ellos nunca puedo salir cadena es ergódica: no hay estados absorbentes&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;ESTADOS TRANSIENTES&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Estado Transiente: estados que no están en ningún conjunto ergódico&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;h3 style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span class=&quot;mw-headline&quot; id=&quot;Cadenas_absorbentes&quot;&gt;Cadenas absorbentes&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Una cadena de Markov con espacio de estados finito se dice absorbente si se cumplen las dos condiciones siguientes:&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;ol style=&quot;text-align: justify;&quot;&gt;&lt;li&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;La cadena tiene al menos un estado absorbente.&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;De cualquier estado no absorbente se accede a algún estado absorbente.&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Cadenas absorbentes: donde hay solo estados transientes y absorbentes (los conjuntos ergódicos tienen un único estado).&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;h3 style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span class=&quot;mw-headline&quot; id=&quot;Cadenas_absorbentes&quot;&gt;Cadenas Conexas&lt;/span&gt; &lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Cadenas conexas: todos los puntos se pueden conectar con caminos no dirigidos &lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;h3 style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span class=&quot;mw-headline&quot; id=&quot;Cadenas_absorbentes&quot;&gt;Cadenas Regulares&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Una cadena de Markov se dice &lt;i&gt;regular&lt;/i&gt; (también &lt;i&gt;primitiva&lt;/i&gt; o &lt;i&gt;ergódica&lt;/i&gt;) si existe alguna potencia positiva de la matriz de transición cuyas entradas sean todas estrictamente mayores que cero.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Cuando el espacio de estados &lt;b&gt;E&lt;/b&gt; es finito, si &lt;b&gt;P&lt;/b&gt; denota la matriz de transición de la cadena se tiene que:&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;dl style=&quot;text-align: justify;&quot;&gt;&lt;dd&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;img alt=&quot;\lim_{n \to  \mathcal{1} \,}P^n= W&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/c/7/3/c732a5ae7b532ce4d59d928ca8670c76.png&quot; /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/dd&gt;&lt;/dl&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;donde W es una matriz con todos sus renglones iguales a un mismo vector de probabilidad &lt;b&gt;w&lt;/b&gt;,  que resulta ser el vector de probabilidad invariante de la cadena. En  el caso de cadenas regulares, éste vector invariante es único.&lt;span class=&quot;mw-headline&quot; id=&quot;Cadenas_absorbentes&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span class=&quot;mw-headline&quot; id=&quot;Cadenas_absorbentes&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Cadenas (ergódicas) regulares: en las que el total forma un conjunto ergódico y existe&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,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&quot; /&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/5937187139124054741/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/tipos-de-cadenas-de-markov.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/5937187139124054741'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/5937187139124054741'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/tipos-de-cadenas-de-markov.html' title='Tipos de Cadenas de Markov'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-1631548742559028803</id><published>2012-10-30T09:00:00.000-07:00</published><updated>2012-10-30T06:52:30.843-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Cadenas de Markov"/><title type='text'>Cadenas de Markov</title><content type='html'>&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;En matemáticas, se define como un proceso estocástico discreto que cumple con la propiedad de Márkov,  es decir, si se conoce la historia del sistema hasta su instante  actual, su estado presente resume toda la información relevante para  describir en probabilidad su estado futuro&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;Una cadena de Markov es un proceso estocástico en el que Si el estado actual Xn y los estados previos X1, . . . , Xn−1 son conocidos La probabilidad del estado futuro Xn+1 No depende de los estados anteriores X1, . . . , Xn−1, y Solamente depende del estado actual Xn.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;a 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&quot; style=&quot;cursor: move;&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;Para que el proceso estocástico del número de líneas ocupadas sea una cadena de Markov&lt;br /&gt;
es necesario que la probabilidad de cada posible número de líneas ocupadas en cualquier instante de tiempo dependa solamente del número de líneas ocupadas&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;b&gt;CARACTERISTICAS &lt;/b&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;PUNTOS DISCRETOS {tk}&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;span style=&quot;font-size: x-small;&quot;&gt;RESULTADOS EXAHUSTIVOS Y MUTUAMENTE EXCLUSYENTES&lt;/span&gt;&amp;nbsp;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;VARIABLE ALEATORIA&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; ξtk&amp;nbsp;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;PROCESO ESTOCASTICO&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; {ξtk} ES FAMILIA VARIABLES&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;CADENA DE MARKOV&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;span style=&quot;font-size: x-small;&quot;&gt;CASO ESPECIAL DE PROCESO DE MARKOV USADO PARA EL&amp;nbsp; &lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;ESTUDIO DE &lt;/span&gt;CIERTO SISTEMAS EN EL CORTO Y LARGO PLAZO&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;PROBABILIDAD DE TRANSICIÓN O TRANSICIÓN DE UN PASO&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;REPRESENTA LA PROBABILIDAD DE QUE EL ESTADO ESTE EN Xn CUANDO t ES tn, DADO QUE ESTABA EN Xn-1 EN&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;40&quot; 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LSOEEELuANeCN4L2DSGEOFALEkIIKQJNXEfce5xakBDSEHQkaNEDCM32WOj5E3S7MfSsH64qjFqQ3B3dSluSk7kBSBWcFowVC5awmQAq3KkFfwX2Y5EmA9SCbSncBFVaziffULxUUYriC01abJtQcpIDF8XmOGdet3+cFu17TYvQaai6wwe7+g3nSjKCLWIqykcZz9g7cDjJez2w5cBww/g/HyDu0WomnYQAAAAASUVORK5CYII=&quot; width=&quot;400&quot; /&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;TRANSICIÓN DE m PASOS&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;46&quot; 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&quot; width=&quot;400&quot; /&gt; &lt;img alt=&quot;&quot; height=&quot;70&quot; 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&quot; width=&quot;200&quot; /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/1631548742559028803/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/cadenas-de-markov.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/1631548742559028803'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/1631548742559028803'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/cadenas-de-markov.html' title='Cadenas de Markov'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-1425497504755546442</id><published>2012-10-07T11:38:00.000-07:00</published><updated>2012-10-30T06:53:14.827-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Simulacion Montecarlo"/><title type='text'>Metodo Montecarlo</title><content type='html'>&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;color: white;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Método de Simulación de Monte Carlo&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;color: white;&quot;&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;direction: ltr; line-height: normal; margin: 5.76pt 0in 0pt 0.49in; text-align: justify; text-indent: -0.42in; unicode-bidi: embed; vertical-align: baseline; word-break: normal;&quot;&gt;&lt;span style=&quot;color: white;&quot;&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;direction: ltr; line-height: normal; margin: 5.76pt 0in 0pt 0.49in; text-align: justify; text-indent: -0.42in; unicode-bidi: embed; vertical-align: baseline; word-break: normal;&quot;&gt;&lt;span style=&quot;color: white;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;direction: ltr; line-height: normal; margin: 5.76pt 0in 0pt 0.49in; text-align: justify; text-indent: -0.42in; unicode-bidi: embed; vertical-align: baseline; word-break: normal;&quot;&gt;&lt;span style=&quot;color: white;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span style=&quot;font-style: normal; vertical-align: baseline;&quot;&gt;La simulación de Monte Carlo es una técnica cuantitativa que hace uso de la estadística y&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;direction: ltr; line-height: normal; margin: 5.76pt 0in 0pt 0.49in; text-align: justify; text-indent: -0.42in; unicode-bidi: embed; vertical-align: baseline; word-break: normal;&quot;&gt;&lt;span style=&quot;color: white;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span style=&quot;font-style: normal; vertical-align: baseline;&quot;&gt;&amp;nbsp;los &lt;/span&gt;&lt;span style=&quot;font-style: normal; vertical-align: baseline;&quot;&gt;ordenadores para imitar, mediante modelos matemáticos, el comportamiento aleatorio&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;direction: ltr; line-height: normal; margin: 5.76pt 0in 0pt 0.49in; text-align: justify; text-indent: -0.42in; unicode-bidi: embed; vertical-align: baseline; word-break: normal;&quot;&gt;&lt;span style=&quot;color: white;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span style=&quot;font-style: normal; vertical-align: baseline;&quot;&gt;de &lt;/span&gt;&lt;span style=&quot;font-style: normal; vertical-align: baseline;&quot;&gt;sistemas reales no dinámicos (por lo general, cuando se trata de sistemas cuyo estado&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;direction: ltr; line-height: normal; margin: 5.76pt 0in 0pt 0.49in; text-align: justify; text-indent: -0.42in; unicode-bidi: embed; vertical-align: baseline; word-break: normal;&quot;&gt;&lt;span style=&quot;color: white;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span style=&quot;font-style: normal; vertical-align: baseline;&quot;&gt;&amp;nbsp;va cambiando con el paso del tiempo, se recurre bien a la simulación de eventos&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;direction: ltr; line-height: normal; margin: 5.76pt 0in 0pt 0.49in; text-align: justify; text-indent: -0.42in; unicode-bidi: embed; vertical-align: baseline; word-break: normal;&quot;&gt;&lt;span style=&quot;color: white;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span style=&quot;font-style: normal; vertical-align: baseline;&quot;&gt;discretos o bien a la simulación de sistemas continuos).&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;span style=&quot;color: white;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjRuPGzOpQcnfqqiJps4_Q7517SIU5CZ4jzezUGtNh1IbKTeTTjCDDjXS-s48QvRu5vyqwIeBy8DuJDUdnZHk_vrwoYdawSvbr-0mEeVio9cFLng2jZoQNcps5FPNkskxTAWu2wrj05AS4J/s1600/333.jpg&quot; imageanchor=&quot;1&quot; style=&quot;clear: right; float: right; margin-bottom: 1em; margin-left: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjRuPGzOpQcnfqqiJps4_Q7517SIU5CZ4jzezUGtNh1IbKTeTTjCDDjXS-s48QvRu5vyqwIeBy8DuJDUdnZHk_vrwoYdawSvbr-0mEeVio9cFLng2jZoQNcps5FPNkskxTAWu2wrj05AS4J/s1600/333.jpg&quot; /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;direction: ltr; line-height: normal; margin: 5.76pt 0in 0pt 0.49in; text-align: justify; text-indent: -0.42in; unicode-bidi: embed; vertical-align: baseline; word-break: normal;&quot;&gt;&lt;span style=&quot;color: white;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;color: white;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;br /&gt;
Es un método estadístico numérico y permite simular y evaluar modelos matemáticos complejos.&lt;br /&gt;
&lt;br /&gt;
El método de Monte Carlo es en realidad una clase de métodos que comparten el siguiente conjunto de características:&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;color: white;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;ul style=&quot;text-align: justify;&quot;&gt;&lt;li&gt;&lt;span style=&quot;color: white;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Definen un dominio de entradas posibles.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span style=&quot;color: white;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Generan entradas aleatoriamente en el dominio definido.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span style=&quot;color: white;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Realizan cálculos determinísticos usando las entradas generadas.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span style=&quot;color: white;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Consolidan los resultados de los cálculos individuales en el resultado final.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/1425497504755546442/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/metodo-montecarlo.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/1425497504755546442'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/1425497504755546442'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/metodo-montecarlo.html' title='Metodo Montecarlo'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjRuPGzOpQcnfqqiJps4_Q7517SIU5CZ4jzezUGtNh1IbKTeTTjCDDjXS-s48QvRu5vyqwIeBy8DuJDUdnZHk_vrwoYdawSvbr-0mEeVio9cFLng2jZoQNcps5FPNkskxTAWu2wrj05AS4J/s72-c/333.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-2118189955765536273</id><published>2012-10-07T11:19:00.002-07:00</published><updated>2012-10-30T06:53:32.866-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Simulacion Montecarlo"/><title type='text'>Simulacion Montecarlo</title><content type='html'>&lt;h1 class=&quot;firstHeading&quot; id=&quot;firstHeading&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;Método de Montecarlo&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/h1&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhcGF04yH62VWOA6G882QS3uOdz7-dC8GR9FriS7IWkuMd8tJPYdfwIXSQCaZnViqKKwsUnR1ml42XDJRgng_WfJJbVHE8CIVxrj7oEnSYdEIsiKUkHodMeJTD8lGCCyuQuBhiZNyg3PUCJ/s1600/424px-Simulacionmontecarlo.png&quot; imageanchor=&quot;1&quot; style=&quot;clear: right; float: right; margin-bottom: 1em; margin-left: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;400&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhcGF04yH62VWOA6G882QS3uOdz7-dC8GR9FriS7IWkuMd8tJPYdfwIXSQCaZnViqKKwsUnR1ml42XDJRgng_WfJJbVHE8CIVxrj7oEnSYdEIsiKUkHodMeJTD8lGCCyuQuBhiZNyg3PUCJ/s400/424px-Simulacionmontecarlo.png&quot; width=&quot;282&quot; /&gt;&lt;/a&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;El &lt;b&gt;método de Montecarlo&lt;/b&gt; es un método no determinístico o estadístico numérico, usado para aproximar expresiones matemáticas complejas y costosas de evaluar con exactitud. El método se llamó así en referencia al Casino de Montecarlo (Principado de Mónaco) por ser “la capital del juego de azar”, al ser la ruleta un generador simple de números aleatorios. El nombre y el desarrollo sistemático de los métodos de Montecarlo datan aproximadamente de 1944 y se mejoraron enormemente con el desarrollo de la computadora.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;El uso de los métodos de Montecarlo como herramienta de investigación, proviene del trabajo realizado en el desarrollo de la bomba atómica durante la Segunda Guerra Mundial en el Laboratorio Nacional de Los Álamos en EE. UU. Este trabajo conllevaba la simulación de problemas probabilísticos de hidrodinámica concernientes a la difusión de neutrones en el material de fisión. Esta difusión posee un comportamiento eminentemente aleatorio.Montecarlo&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;thumb tright&quot; style=&quot;text-align: justify;&quot;&gt;&lt;div class=&quot;thumbinner&quot; style=&quot;width: 252px;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt; &lt;/div&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;En la primera etapa de estas investigaciones, John von Neumann y Stanislaw Ulam refinaron esta ruleta rusa  y los métodos &quot;de división&quot; de tareas. Sin embargo, el desarrollo  sistemático de estas ideas tuvo que esperar al trabajo de Harris y Herman Kahn en 1948. Aproximadamente en el mismo año, Enrico Fermi, Nicholas Metropolis y Ulam obtuvieron estimadores para los valores característicos de la ecuación de Schrödinger para la captura de neutrones a nivel nuclear usando este método.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;El método de Montecarlo proporciona soluciones aproximadas a una gran  variedad de problemas matemáticos posibilitando la realización de  experimentos con muestreos de números pseudoaleatorios en una  computadora. El método es aplicable a cualquier tipo de problema, ya sea  estocástico o determinista.  A diferencia de los métodos numéricos que se basan en evaluaciones en N  puntos en un espacio M-dimensional para producir una solución  aproximada, el método de Montecarlo tiene un error absoluto de la  estimación que decrece como &lt;img alt=&quot;\frac{1}{\sqrt{N}}&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/math/2/4/7/2479ad962a8d2d9bec5543a3f6dea035.png&quot; /&gt; en virtud del teorema del límite central.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Ejemplo de aplicación de Montecarlo. En el juego de barcos, primero se  realizan una serie de tiros a puntos aleatorios. Si el jugador genera un  algoritmo puede deducir la posición del barco conocidos los datos  anteriores.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEibzdPfRP4vum6cWjLTRyZr90-jraRcfrqVrgLUXb7j5DewIPj6rt4QrzGML01ASIV0YCWogSUviG7_yMAy1kR2JdOBGEJQZLE9D4-L2dfbUQ4Xy2w_B12Qa6sfUxM2UvJO82zmxG6hPzhj/s1600/334px-Monte_carlo_method.svg.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;400&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEibzdPfRP4vum6cWjLTRyZr90-jraRcfrqVrgLUXb7j5DewIPj6rt4QrzGML01ASIV0YCWogSUviG7_yMAy1kR2JdOBGEJQZLE9D4-L2dfbUQ4Xy2w_B12Qa6sfUxM2UvJO82zmxG6hPzhj/s400/334px-Monte_carlo_method.svg.png&quot; width=&quot;241&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/2118189955765536273/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/simulacion-montecarlo.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/2118189955765536273'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/2118189955765536273'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/simulacion-montecarlo.html' title='Simulacion Montecarlo'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhcGF04yH62VWOA6G882QS3uOdz7-dC8GR9FriS7IWkuMd8tJPYdfwIXSQCaZnViqKKwsUnR1ml42XDJRgng_WfJJbVHE8CIVxrj7oEnSYdEIsiKUkHodMeJTD8lGCCyuQuBhiZNyg3PUCJ/s72-c/424px-Simulacionmontecarlo.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-6103109986440593343</id><published>2012-10-07T09:00:00.000-07:00</published><updated>2012-10-30T06:54:27.343-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Algoritmos"/><category scheme="http://www.blogger.com/atom/ns#" term="Numeros Aleatorias"/><title type='text'>Pruebas Estadisticas para Los Numeros Aleatorios</title><content type='html'>PRUEBAS DE MEDIAS&lt;br /&gt;
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&amp;nbsp;PRUEBAS DE VARIANZAS&lt;br /&gt;
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&lt;/div&gt;PRUEBAS DE UNIFORMIDAD&lt;br /&gt;
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&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjMVrMCEPRmD2jSx4bOPUVX7CLAunwViFOpa9LxJMRLBRHBjhC3eUnaQO9SMjnxY0lUQkB6HlV2vPezUUt9S8aBRxAYICXduteqRi6p2wMit2Pb-7J5hGtp_OB0HYsrzeS2I4YxV-sx50c0/s1600/q33.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;283&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjMVrMCEPRmD2jSx4bOPUVX7CLAunwViFOpa9LxJMRLBRHBjhC3eUnaQO9SMjnxY0lUQkB6HlV2vPezUUt9S8aBRxAYICXduteqRi6p2wMit2Pb-7J5hGtp_OB0HYsrzeS2I4YxV-sx50c0/s320/q33.png&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
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</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/6103109986440593343/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/pruebas-estadisticas-para-los-numeros.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/6103109986440593343'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/6103109986440593343'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/pruebas-estadisticas-para-los-numeros.html' title='Pruebas Estadisticas para Los Numeros Aleatorios'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdGjcjMkU3IxGV8-8MDtGaSykLtmHkxBd61YB-lOtpLCnjXiI9g2wsQ0dzIC0ZIyOttpq57G27fYr0ySPMyspJtBFNrdIw3Sjf6b2k-bFCglkzDuXi30MIA_4cX97tkitDS4-ofS3tKWqj/s72-c/q30.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-2022459098910692639</id><published>2012-10-07T08:49:00.001-07:00</published><updated>2012-10-30T06:55:17.200-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Algoritmos"/><category scheme="http://www.blogger.com/atom/ns#" term="Numeros Aleatorias"/><title type='text'>Algoritmos PseudoAleatorios</title><content type='html'>&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;ALGORITMOS LINEAL&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhoCNKDlv1YMs3oJ0jyOUTUihkX-ahbtAvfTM0XAJwN5CkiD0cPR9Q4jEZRKcrcwQHI2H0HA47QLhy_8KhqxIMkKJK5ZG9EWD6NE7Xw01o7-sehJkiFitxTiRzyNnuoTDF60S_5s0LWah0/s1600/Q18.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;241&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhoCNKDlv1YMs3oJ0jyOUTUihkX-ahbtAvfTM0XAJwN5CkiD0cPR9Q4jEZRKcrcwQHI2H0HA47QLhy_8KhqxIMkKJK5ZG9EWD6NE7Xw01o7-sehJkiFitxTiRzyNnuoTDF60S_5s0LWah0/s400/Q18.png&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;ul&gt;&lt;/ul&gt;&lt;b&gt;ALGORITMO CUADRADOS MEDIOS&lt;/b&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOLCGYMEQLunKEIc7LK4-eMovzrP40tnZqefTG2_dQLF9R1Lp54s_0zFdDDgWNHD93mM9Lamtt6vsG5dTMH0EghfYNOz25sjTY6GJXNekQCaZX4dPFm4yMKh8FnPySKmNoO4orzuByj-8J/s1600/Q12.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;246&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOLCGYMEQLunKEIc7LK4-eMovzrP40tnZqefTG2_dQLF9R1Lp54s_0zFdDDgWNHD93mM9Lamtt6vsG5dTMH0EghfYNOz25sjTY6GJXNekQCaZX4dPFm4yMKh8FnPySKmNoO4orzuByj-8J/s400/Q12.png&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
&lt;b&gt;&lt;br /&gt;
&lt;/b&gt; &lt;b&gt;ALGORITMO PRODUCTOS MEDIOS&lt;/b&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj1XleuwBFEbnyjiWCP4xT8UXU7ZJz6FsuoQzg5dQKukpMikZUfgDZdC6lM1l8PM8XZnSqV8Zk0b_VQMQ6LPTEIlaa1bsMBw8J_OqbKRsiqXUELyCYYDGoKP5AyJ6fpHAC-yBsEBlipVR2e/s1600/Q13.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;225&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj1XleuwBFEbnyjiWCP4xT8UXU7ZJz6FsuoQzg5dQKukpMikZUfgDZdC6lM1l8PM8XZnSqV8Zk0b_VQMQ6LPTEIlaa1bsMBw8J_OqbKRsiqXUELyCYYDGoKP5AyJ6fpHAC-yBsEBlipVR2e/s320/Q13.png&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
&lt;b&gt;ALGORITMO MULTIPLICATIVO CONSTANTE&lt;/b&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhb_RXcK8T3PPvSFiBOoGGnXV9hUGpIFCT7WaBGMxTp-iNtbH7oLUrlGcVdlrzfOoC4YlUl3B4HB6UiyT8-RlhuFBCvQQI1TBxyYQN7ND4izPEQJp2TfQB28JERVxFUOgUx0iCF3XJHrZXm/s1600/Q14.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;172&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhb_RXcK8T3PPvSFiBOoGGnXV9hUGpIFCT7WaBGMxTp-iNtbH7oLUrlGcVdlrzfOoC4YlUl3B4HB6UiyT8-RlhuFBCvQQI1TBxyYQN7ND4izPEQJp2TfQB28JERVxFUOgUx0iCF3XJHrZXm/s400/Q14.png&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
&lt;b&gt;&lt;br /&gt;
&lt;/b&gt; &lt;b&gt;&lt;br /&gt;
&lt;/b&gt; &lt;b&gt;ALGORITMO MULTIPLICATIVO CONGRUENCIAL&lt;/b&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhtSMeJCAPTJ2U2FSiAPxXMJUFBHP8A7UCZLxMiEACYIhqFWNyD1svy4XxfGXpMrBKKWeraTWIepheC87PyHh53q_VrZhZLW2LaDi3tr9zQ0D0zhqI_desTwS_4yTQS4Yo9zcGU0T0mUxAd/s1600/Q15.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;272&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhtSMeJCAPTJ2U2FSiAPxXMJUFBHP8A7UCZLxMiEACYIhqFWNyD1svy4XxfGXpMrBKKWeraTWIepheC87PyHh53q_VrZhZLW2LaDi3tr9zQ0D0zhqI_desTwS_4yTQS4Yo9zcGU0T0mUxAd/s400/Q15.png&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;ALGORITMO ADICTIVO&lt;/b&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiMinlQ_jj0PA8P2ZvedtTruMbmTXt19ik4hw54xf_NhhL4ZVjmAyEq5Mtghucb8fEnzkQx5j02vHRQZDXsScT-b2KtEMLyXTYZf78CSnWQ8v7hoEUjcYtNZYPB3Pmj2qvn3H7iFt0ELfDE/s1600/Q16.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;137&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiMinlQ_jj0PA8P2ZvedtTruMbmTXt19ik4hw54xf_NhhL4ZVjmAyEq5Mtghucb8fEnzkQx5j02vHRQZDXsScT-b2KtEMLyXTYZf78CSnWQ8v7hoEUjcYtNZYPB3Pmj2qvn3H7iFt0ELfDE/s400/Q16.png&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;ALGORITMO CUADRATICO&lt;/b&gt;&lt;br /&gt;
&lt;br /&gt;
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&lt;br /&gt;
ALGORITMO UNIX&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinufKyjr6ojEUKeSE49U9-tYRppJlyfU69akc_aKZYhYL8i6dxO5cn3Rzud9ZX6IxtC4EplNtjhWSLoB6x9cMobnAup_V-g5XQoQiauvLprou8KC0EY2UaQaIgUXkLWsStdO6Kb-9RlRQ7/s1600/Q20.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;158&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinufKyjr6ojEUKeSE49U9-tYRppJlyfU69akc_aKZYhYL8i6dxO5cn3Rzud9ZX6IxtC4EplNtjhWSLoB6x9cMobnAup_V-g5XQoQiauvLprou8KC0EY2UaQaIgUXkLWsStdO6Kb-9RlRQ7/s400/Q20.png&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
&lt;br /&gt;
ALGORITMO VISUAL&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhudp_zQPL6aAl7YXRfOs498sbCDdjmFqSyvnCko45Nmhb_iUz9vwO1Ed7VJrOzBXA4v5iTN-gWfK5CFU_fd1P64_ucHIYB5mFiWWpGziWrCCJ_JUtSNWlbL3-pg68mYBcMUzsANiDOwvHP/s1600/Q21.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;80&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhudp_zQPL6aAl7YXRfOs498sbCDdjmFqSyvnCko45Nmhb_iUz9vwO1Ed7VJrOzBXA4v5iTN-gWfK5CFU_fd1P64_ucHIYB5mFiWWpGziWrCCJ_JUtSNWlbL3-pg68mYBcMUzsANiDOwvHP/s400/Q21.png&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
&lt;br /&gt;
ALGORITMO EXCEL 97&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwlt-HSjwstM_Jz6BhqULzGnFDr49r6uEC55Qt3Zahzd02e1-HAexFVHEX5zleoGSqIEmprlXqaDnN71a1g1Ma1n5g3h_pHI-u5DvRCaLjCkHSnDP1VvvaExYBH7_HPiWgujMLBeCn9PdG/s1600/Q22.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;170&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwlt-HSjwstM_Jz6BhqULzGnFDr49r6uEC55Qt3Zahzd02e1-HAexFVHEX5zleoGSqIEmprlXqaDnN71a1g1Ma1n5g3h_pHI-u5DvRCaLjCkHSnDP1VvvaExYBH7_HPiWgujMLBeCn9PdG/s400/Q22.png&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
&lt;br /&gt;
ALGORITMO EXCEL 03-07&lt;br /&gt;
&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgPQeMwpYvis3wb8C8xMJqhp1vb6QcZY6ViY2l0fBelhAsx8fhFM9z3TEgn7qofWRm39u8dT2zc6K5NLvGJE-ovfrHIYUoKvEF19qPAdDapXewCSlLnbPxVoMvwcoyU0CbTqGf2U6AhPheT/s1600/Q23.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;95&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgPQeMwpYvis3wb8C8xMJqhp1vb6QcZY6ViY2l0fBelhAsx8fhFM9z3TEgn7qofWRm39u8dT2zc6K5NLvGJE-ovfrHIYUoKvEF19qPAdDapXewCSlLnbPxVoMvwcoyU0CbTqGf2U6AhPheT/s400/Q23.png&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Descrgar Algoritmos &lt;br /&gt;
&lt;br /&gt;
&lt;iframe frameborder=&quot;0&quot; height=&quot;128&quot; scrolling=&quot;no&quot; src=&quot;https://skydrive.live.com/embed?cid=83B2CA4A96D2D35B&amp;amp;resid=83B2CA4A96D2D35B%212786&amp;amp;authkey=AFXXuP5LkjVJzHI&quot; width=&quot;165&quot;&gt;&lt;/iframe&gt;</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/2022459098910692639/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/algoritmo-lineal.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/2022459098910692639'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/2022459098910692639'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/algoritmo-lineal.html' title='Algoritmos PseudoAleatorios'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhoCNKDlv1YMs3oJ0jyOUTUihkX-ahbtAvfTM0XAJwN5CkiD0cPR9Q4jEZRKcrcwQHI2H0HA47QLhy_8KhqxIMkKJK5ZG9EWD6NE7Xw01o7-sehJkiFitxTiRzyNnuoTDF60S_5s0LWah0/s72-c/Q18.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-5467403606047242393</id><published>2012-10-07T08:27:00.000-07:00</published><updated>2012-10-30T06:55:53.477-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Algoritmos"/><category scheme="http://www.blogger.com/atom/ns#" term="Numeros Aleatorias"/><title type='text'>Caracteristicas de los Numeros Aleatorios</title><content type='html'>&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbW8Xc2nTdd0nucAlpEPVZ1JiaMh2Lm84wiVjs1cmRGnUQGrjDIB89QHEG1K5siJ5kpAazTnA5SntwGjpfE2LhkgTOme4ZQEbYWymFwjajj-OXsbbFUH0aQiJPTVYTQ17l9wWNtA3Qfhrl/s1600/poiu.jpg&quot; imageanchor=&quot;1&quot; style=&quot;clear: right; float: right; margin-bottom: 1em; margin-left: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbW8Xc2nTdd0nucAlpEPVZ1JiaMh2Lm84wiVjs1cmRGnUQGrjDIB89QHEG1K5siJ5kpAazTnA5SntwGjpfE2LhkgTOme4ZQEbYWymFwjajj-OXsbbFUH0aQiJPTVYTQ17l9wWNtA3Qfhrl/s1600/poiu.jpg&quot; /&gt;&lt;/a&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Un número es aleatorio o no con respecto a otros números; por lo tanto, lo correcto es hablar de series&lt;br /&gt;
de números aleatorios.&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Propiedades de los números aleatorios:&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;ul style=&quot;text-align: justify;&quot;&gt;&lt;li&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Deben tener igual probabilidad de salir elegidos.&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;No debe existir correlación serial.&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Los números generados no se deben repetir frecuentemente (en ciclos).&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Las series generadas deben ser reproducibles.&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Rapidez en la obtención de los números.&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Almacenamiento mínimo. Tanto el propio generador como los números por el generados. Los números generados han de estar uniformemente distribuidos (todos deben tener la misma probabilidad de salir).&amp;nbsp;&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Los valores generados deben ser independientes unos de otros, es decir, que la obtención de cierto valor no esté condicionado por los valores obtenidos anteriormente (no correlacionado).&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/5467403606047242393/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/caracteristicas-de-los-numeros.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/5467403606047242393'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/5467403606047242393'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/caracteristicas-de-los-numeros.html' title='Caracteristicas de los Numeros Aleatorios'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbW8Xc2nTdd0nucAlpEPVZ1JiaMh2Lm84wiVjs1cmRGnUQGrjDIB89QHEG1K5siJ5kpAazTnA5SntwGjpfE2LhkgTOme4ZQEbYWymFwjajj-OXsbbFUH0aQiJPTVYTQ17l9wWNtA3Qfhrl/s72-c/poiu.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-8330841973454569015</id><published>2012-10-07T08:12:00.000-07:00</published><updated>2012-10-30T06:56:16.127-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Numeros Aleatorias"/><title type='text'>Numeros Aleatorios</title><content type='html'>&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjayv2f2bE95zuCX6bPVQ5b90Rm0VuVqOA_D0mGtJeOlk9jaCrdXu6KmWsVIxdTXcyGh0cdN3VYiRWrfw4X1w2cSptGaNWzBBCJYOj0la2IKf5neuDRvpa3CilfzbW9yQ0wTKKp40G3pJ_I/s1600/uyter.jpg&quot; imageanchor=&quot;1&quot; style=&quot;clear: right; float: right; margin-bottom: 1em; margin-left: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjayv2f2bE95zuCX6bPVQ5b90Rm0VuVqOA_D0mGtJeOlk9jaCrdXu6KmWsVIxdTXcyGh0cdN3VYiRWrfw4X1w2cSptGaNWzBBCJYOj0la2IKf5neuDRvpa3CilfzbW9yQ0wTKKp40G3pJ_I/s1600/uyter.jpg&quot; /&gt;&lt;/a&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Un &lt;b&gt;número aleatorio&lt;/b&gt; es un resultado de una variable al azar especificada por una función de distribución. Cuando no se especifica ninguna distribución, se presupone que se utiliza la distribución uniforme continua en el intervalo [0,1).&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;En los ordenadores personales es fácil simular la generación de números aleatorios, mediante mecanismos de generación de &lt;b&gt;números seudoaleatorios&lt;/b&gt;, que, sin ser aleatorios (siguen una fórmula)&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;En estadística, un número aleatorio  es un resultado de una variable al azar especificada por una  distribución. Los algoritmos para la generación de valores uniformemente  distribuidos están presentes en todas las calculadoras y lenguajes de programación, y suelen estar basados en congruencias&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Un &lt;b&gt;número pseudo-aleatorio&lt;/b&gt; es un número generado en un proceso que parece producir números al azar,  pero no lo hace realmente. Las secuencias de números pseudo-aleatorios  no muestran ningún patrón o regularidad aparente desde un punto de vista  estadístico, a pesar de haber sido generadas por un algoritmo completamente determinista, en el que las mismas condiciones iniciales producen siempre el mismo resultado.&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Los mecanismos de generación de números aleatorios que se utilizan en  la mayoría de los sistemas informáticos son en realidad procesos  pseudo-aleatorios.&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;span style=&quot;font-family: Arial,Helvetica,sans-serif;&quot;&gt;Una de las utilidades principales de los números pseudoaleatorios se lleva a cabo en el llamado método de Montecarlo,  con múltiples utilidades, por ejemplo para hallar áreas / volúmenes  encerradas en una gráfica y cuyas integrales son muy difíciles de hallar  o irresolubles; mediante la generación de puntos basados en estos  números, podemos hacer una buena aproximación de la superficie /volumen  total , encerrándolo en un cuadrado / cubo , aunque no lo  suficientemente buena. Asimismo, también destacan en el campo de la criptografía.  Por ello se sigue investigando en la generación de dichos números,  empleando por ejemplo medidores de ruido blanco o analizadores  atmosféricos, ya que experimentalmente se ha comprobado que tienen una  aleatoriedad bastante alta.&lt;/span&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/8330841973454569015/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/numeros-aleatorios.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/8330841973454569015'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/8330841973454569015'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/10/numeros-aleatorios.html' title='Numeros Aleatorios'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjayv2f2bE95zuCX6bPVQ5b90Rm0VuVqOA_D0mGtJeOlk9jaCrdXu6KmWsVIxdTXcyGh0cdN3VYiRWrfw4X1w2cSptGaNWzBBCJYOj0la2IKf5neuDRvpa3CilfzbW9yQ0wTKKp40G3pJ_I/s72-c/uyter.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-2045094003820941919</id><published>2012-08-19T17:07:00.002-07:00</published><updated>2012-10-30T06:56:48.767-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Modelo de Servidores Multiples"/><title type='text'>Modelos de Servidores Múltiples (M/M/C) : (DG/∝/∝)</title><content type='html'>&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;Modelo con servidores en paralelos en los&amp;nbsp;cuales&amp;nbsp;la tasa de servicio de salida varian segun el numero de servidores&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;
&lt;/span&gt; &lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;Definimos el valor de&amp;nbsp;&lt;b&gt;p&lt;/b&gt;&amp;nbsp;(Ro) &lt;/span&gt;&lt;br /&gt;
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&lt;/span&gt; &lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;span style=&quot;clear: left; display: inline !important; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8YottvPE_C74K6Z1mS_nztyeji7e7cA-LnNzB2PKL4aqIlSU9RgcJta31WONLRGe_0heLfHAxrJ3K_RO6LWKtPLGI-tjwEJnXLj0PzAWfpB3MpwQ6z2Lj6Jejjp7mszmyry5p-howSG-k/s1600/kk.png.jpg&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; display: inline !important; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8YottvPE_C74K6Z1mS_nztyeji7e7cA-LnNzB2PKL4aqIlSU9RgcJta31WONLRGe_0heLfHAxrJ3K_RO6LWKtPLGI-tjwEJnXLj0PzAWfpB3MpwQ6z2Lj6Jejjp7mszmyry5p-howSG-k/s1600/kk.png.jpg&quot; /&gt;&lt;/a&gt;&lt;/span&gt; &lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;como su sistema es infinito su landa efectivo es igual, y su&amp;nbsp;variación&amp;nbsp;en la tasa de salida esta condicionada por&lt;/span&gt;&lt;br /&gt;
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&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTH2qGwaziVs0wMM3E5skzbQDrKQLIOQAqNMKOYkiNhGNHdEUY84gsfIeBK2w39tvs597Os30CBHkSZLc7CXVflsKJ1keHcQvwUbwXZYlDab3Po1DZ7iibhxjwfH7jBjDczQPGspOVoaaw/s1600/www.png&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;112&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTH2qGwaziVs0wMM3E5skzbQDrKQLIOQAqNMKOYkiNhGNHdEUY84gsfIeBK2w39tvs597Os30CBHkSZLc7CXVflsKJ1keHcQvwUbwXZYlDab3Po1DZ7iibhxjwfH7jBjDczQPGspOVoaaw/s200/www.png&quot; width=&quot;200&quot; /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;
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&lt;/span&gt; &lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;la probabilidad de un evento cero condicionada por:&lt;/span&gt;&lt;br /&gt;
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&lt;/span&gt; &lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;La Probabilidad de un Evento condicionada por:&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;
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&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgJc_NMFAO7N6KsVq6xCcPLgD1CgyrkKAFYOX7_r9e8o-BrP1lnvhKoJvr8UByd3M9apIUgozfSkWCPNGDPA4TzUAt2MxWPBqfPGA-sNQCQy1z2DQeZr_5x7MtE7SN5q073q6sgB1UaoZpE/s1600/gggggg.png&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;140&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgJc_NMFAO7N6KsVq6xCcPLgD1CgyrkKAFYOX7_r9e8o-BrP1lnvhKoJvr8UByd3M9apIUgozfSkWCPNGDPA4TzUAt2MxWPBqfPGA-sNQCQy1z2DQeZr_5x7MtE7SN5q073q6sgB1UaoZpE/s320/gggggg.png&quot; width=&quot;320&quot; /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEeoXi3IcNx0CKsgCGa52U0xqPQs69WEixJW00fjF-E-mS1DS985yevAPIUSdTAuVRcD5Bjui9TVmhE63mJPBsCEUfJHR5GHL8FJ8GUijW_qUkyw6-yu2pRw635KiPCGft0xXlAY0eqoVB/s1600/qqqqqqqqq.png&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;92&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEeoXi3IcNx0CKsgCGa52U0xqPQs69WEixJW00fjF-E-mS1DS985yevAPIUSdTAuVRcD5Bjui9TVmhE63mJPBsCEUfJHR5GHL8FJ8GUijW_qUkyw6-yu2pRw635KiPCGft0xXlAY0eqoVB/s200/qqqqqqqqq.png&quot; width=&quot;200&quot; /&gt;&lt;/span&gt;&lt;/a&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;
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&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;Medidas de rendimiento&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;
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&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhGeDuJi2dwm36_fcJCERlMLHJFdcl7QuYkPYSz56gpaEpsHPA-XfOBrByZfIrSRkwtzIulN3no1UYHdHCq1-D2fJWUc9vk7me7exNdQgPmEpU0Qf0dr168VUB5dyDL59oM9SI17bf-LOGv/s1600/qqqqqqqc.png&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;292&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhGeDuJi2dwm36_fcJCERlMLHJFdcl7QuYkPYSz56gpaEpsHPA-XfOBrByZfIrSRkwtzIulN3no1UYHdHCq1-D2fJWUc9vk7me7exNdQgPmEpU0Qf0dr168VUB5dyDL59oM9SI17bf-LOGv/s320/qqqqqqqc.png&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/2045094003820941919/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/08/modelos-de-servidores-multiples-mmc-dg.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/2045094003820941919'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/2045094003820941919'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/08/modelos-de-servidores-multiples-mmc-dg.html' title='Modelos de Servidores Múltiples (M/M/C) : (DG/∝/∝)'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8YottvPE_C74K6Z1mS_nztyeji7e7cA-LnNzB2PKL4aqIlSU9RgcJta31WONLRGe_0heLfHAxrJ3K_RO6LWKtPLGI-tjwEJnXLj0PzAWfpB3MpwQ6z2Lj6Jejjp7mszmyry5p-howSG-k/s72-c/kk.png.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-847873195088086494</id><published>2012-08-19T16:25:00.000-07:00</published><updated>2012-08-20T15:32:59.065-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Medidas de Rendimiento"/><category scheme="http://www.blogger.com/atom/ns#" term="Modelos con un Servidor"/><title type='text'>Modelos con Un Servidor (M/M/1) : (DG/N/∝)</title><content type='html'>&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;br /&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; word-break: normal;&quot;&gt;
&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;Hay un
limite de clientes en el sistema dado por N&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 115%;&quot;&gt;La
longitud máxima de la cola será N-1 Cuando la cantidad de clientes llega en el
sistema llega a N no se aceptan más&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;span style=&quot;line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;span style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;line-height: normal;&quot;&gt;definimos el valor de&amp;nbsp;&lt;/span&gt;&lt;b style=&quot;line-height: normal;&quot;&gt;p&lt;/b&gt;&lt;span style=&quot;line-height: normal;&quot;&gt;&amp;nbsp;(Ro)&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 115%;&quot;&gt;&lt;span style=&quot;clear: left; display: inline !important; line-height: normal; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8YottvPE_C74K6Z1mS_nztyeji7e7cA-LnNzB2PKL4aqIlSU9RgcJta31WONLRGe_0heLfHAxrJ3K_RO6LWKtPLGI-tjwEJnXLj0PzAWfpB3MpwQ6z2Lj6Jejjp7mszmyry5p-howSG-k/s1600/kk.png.jpg&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; display: inline !important; line-height: normal; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8YottvPE_C74K6Z1mS_nztyeji7e7cA-LnNzB2PKL4aqIlSU9RgcJta31WONLRGe_0heLfHAxrJ3K_RO6LWKtPLGI-tjwEJnXLj0PzAWfpB3MpwQ6z2Lj6Jejjp7mszmyry5p-howSG-k/s1600/kk.png.jpg&quot; /&gt;&lt;/a&gt;&lt;/span&gt;
&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-WYHOl8GdmgRcWTfdmjceJku2RtCZ2f1PF0l11vWzNImUAhToM8Fd5lVTrjLDTZZyBZXXoNhDo3k_mB9UyMzQ1ClLo5WgxnOqCzORFHBxiUCYt9OXl1nKVlVV6DoF9yjR4M8Lxh0yIecd/s1600/g.jpg&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;53&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-WYHOl8GdmgRcWTfdmjceJku2RtCZ2f1PF0l11vWzNImUAhToM8Fd5lVTrjLDTZZyBZXXoNhDo3k_mB9UyMzQ1ClLo5WgxnOqCzORFHBxiUCYt9OXl1nKVlVV6DoF9yjR4M8Lxh0yIecd/s200/g.jpg&quot; width=&quot;200&quot; /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;
&lt;span style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;la probabilidad del evento cero condicionada por:&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;
&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8VflS1FB6fJqZycXqqfouhRcx9Oq-jung-next0_olOOJtNxKEQOs3XWopiWCfuo3hdns6lnBsiUVoAOd3lJoxdx7Y5uSecx2X0auSWeTyo4YGT7iNOQ2OZcg-xWQoDdtXLk_DMNpiNrs/s1600/pos.png&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;92&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8VflS1FB6fJqZycXqqfouhRcx9Oq-jung-next0_olOOJtNxKEQOs3XWopiWCfuo3hdns6lnBsiUVoAOd3lJoxdx7Y5uSecx2X0auSWeTyo4YGT7iNOQ2OZcg-xWQoDdtXLk_DMNpiNrs/s200/pos.png&quot; width=&quot;200&quot; /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;
&lt;span style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;
&lt;span style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;La probabilidad de un evento cualquiera es:&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;br /&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqe1wQhLXOdPuhFo4NeHjmpifJ5RkVFyF0pr5XxKcRzhzDBmKpNm7HBCmoVoPBZB3iiyEemHxfUq25EY4bnjpx1kKSm43R6hsBZRru8Dr6F41byK_uHucmqqmtp1YXC542PhrnwCyLSrrI/s1600/posd.png&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;74&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqe1wQhLXOdPuhFo4NeHjmpifJ5RkVFyF0pr5XxKcRzhzDBmKpNm7HBCmoVoPBZB3iiyEemHxfUq25EY4bnjpx1kKSm43R6hsBZRru8Dr6F41byK_uHucmqqmtp1YXC542PhrnwCyLSrrI/s320/posd.png&quot; width=&quot;320&quot; /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;Medidas de rendimiento&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
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&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh08KkyEnubwi1B8mCRSFq7lMKpLQlt-Hop-1OwqB-IWfkcawFq4NwEKpgQ9zxOLI8NQ3dq_IbMPgxrkfZyWacr7kQfhFb15Vtcgf552KM4JnyWJtSA-RWMd4nn-0ivMUlRjfuAfZZXwekv/s1600/ree.png&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;40&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh08KkyEnubwi1B8mCRSFq7lMKpLQlt-Hop-1OwqB-IWfkcawFq4NwEKpgQ9zxOLI8NQ3dq_IbMPgxrkfZyWacr7kQfhFb15Vtcgf552KM4JnyWJtSA-RWMd4nn-0ivMUlRjfuAfZZXwekv/s200/ree.png&quot; width=&quot;200&quot; /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi300yqe0jb1P3PnU_wCkPspkXnx8dyYgzGfYDOfEEjtvAfI0noHljCFNtwQ_W5P2EXn50OPMgr1MGGxUwpy3f6DB2bNZp0Fcfqfk2uFYZ64aAJd5L_3gK32JySxLvU9pniV4ijEKwT4o1U/s1600/yuyu.png&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;53&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi300yqe0jb1P3PnU_wCkPspkXnx8dyYgzGfYDOfEEjtvAfI0noHljCFNtwQ_W5P2EXn50OPMgr1MGGxUwpy3f6DB2bNZp0Fcfqfk2uFYZ64aAJd5L_3gK32JySxLvU9pniV4ijEKwT4o1U/s320/yuyu.png&quot; width=&quot;320&quot; /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;
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&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNTBKD8JZtj0X3Kqiu-_vi2jRXg2d_eIDfag4OidZW4mXk2M6UyuYjUA04-GzjVeMcDIjQWdTrBn1nsLYM2fWWm0Wj38gwV6Yz23CAEsbqEqlfR0C-HAAdFTGQAKsHEWQC-raoO9jEO2FQ/s1600/cfd.png&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;71&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNTBKD8JZtj0X3Kqiu-_vi2jRXg2d_eIDfag4OidZW4mXk2M6UyuYjUA04-GzjVeMcDIjQWdTrBn1nsLYM2fWWm0Wj38gwV6Yz23CAEsbqEqlfR0C-HAAdFTGQAKsHEWQC-raoO9jEO2FQ/s200/cfd.png&quot; width=&quot;200&quot; /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;
&lt;br /&gt;</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/847873195088086494/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/08/modelos-con-un-servidor-mm1-plpsn.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/847873195088086494'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/847873195088086494'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/08/modelos-con-un-servidor-mm1-plpsn.html' title='Modelos con Un Servidor (M/M/1) : (DG/N/∝)'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8YottvPE_C74K6Z1mS_nztyeji7e7cA-LnNzB2PKL4aqIlSU9RgcJta31WONLRGe_0heLfHAxrJ3K_RO6LWKtPLGI-tjwEJnXLj0PzAWfpB3MpwQ6z2Lj6Jejjp7mszmyry5p-howSG-k/s72-c/kk.png.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-4598713105473265800</id><published>2012-08-19T14:44:00.000-07:00</published><updated>2012-08-19T18:00:03.438-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Medidas de Rendimiento"/><category scheme="http://www.blogger.com/atom/ns#" term="Modelos con un Servidor"/><title type='text'>Modelos con Un Servidor (M/M/1) : (DG/∝/∝)</title><content type='html'>&lt;div&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;Numero de clientes en un tiempo determinado&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
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&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjl7RLSnXaQRJFHx30z65Lpte5QaMRKcdknbph-rs45m-_VS5dbB0Up3o7qWcdhcbO6J4I-WxmroDoCZsHBct6vgy3a2Vj5OYM6QxkWT1xvzrr68Qgj37PN7YwXcM3783JTJkonSoiFhnOB/s1600/hhh.png&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;135&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjl7RLSnXaQRJFHx30z65Lpte5QaMRKcdknbph-rs45m-_VS5dbB0Up3o7qWcdhcbO6J4I-WxmroDoCZsHBct6vgy3a2Vj5OYM6QxkWT1xvzrr68Qgj37PN7YwXcM3783JTJkonSoiFhnOB/s320/hhh.png&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;Definimos el valor de&amp;nbsp;&lt;b&gt;p&lt;/b&gt;&amp;nbsp;(Ro)&lt;/span&gt;&lt;br /&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8YottvPE_C74K6Z1mS_nztyeji7e7cA-LnNzB2PKL4aqIlSU9RgcJta31WONLRGe_0heLfHAxrJ3K_RO6LWKtPLGI-tjwEJnXLj0PzAWfpB3MpwQ6z2Lj6Jejjp7mszmyry5p-howSG-k/s1600/kk.png.jpg&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; display: inline !important; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8YottvPE_C74K6Z1mS_nztyeji7e7cA-LnNzB2PKL4aqIlSU9RgcJta31WONLRGe_0heLfHAxrJ3K_RO6LWKtPLGI-tjwEJnXLj0PzAWfpB3MpwQ6z2Lj6Jejjp7mszmyry5p-howSG-k/s1600/kk.png.jpg&quot; /&gt;&lt;/span&gt;&lt;/a&gt;&lt;br /&gt;
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&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;la probabilidad de un evento cero condicionada por:&lt;/span&gt;&lt;br /&gt;
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&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8YottvPE_C74K6Z1mS_nztyeji7e7cA-LnNzB2PKL4aqIlSU9RgcJta31WONLRGe_0heLfHAxrJ3K_RO6LWKtPLGI-tjwEJnXLj0PzAWfpB3MpwQ6z2Lj6Jejjp7mszmyry5p-howSG-k/s1600/kk.png.jpg&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/a&gt;
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&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;La probabilidad de un evento cualquiera condicionada por:&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgyO1Myyt2gqB2sUZCDQwamb3W88qL94fmWBZDOPDZLLUavXh_w2jigkQsgeLsC35Xxxx1s7BXkHgHVcaD9_I8JryCLDCeCuEhqgIFmbM8vkToH2jZ445yImeWj4nqZYV6UMFnos-PbvqGZ/s1600/re.png&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;61&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgyO1Myyt2gqB2sUZCDQwamb3W88qL94fmWBZDOPDZLLUavXh_w2jigkQsgeLsC35Xxxx1s7BXkHgHVcaD9_I8JryCLDCeCuEhqgIFmbM8vkToH2jZ445yImeWj4nqZYV6UMFnos-PbvqGZ/s200/re.png&quot; width=&quot;200&quot; /&gt;&lt;/a&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
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&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;Medidas de Rendimiento&lt;/span&gt;&lt;br /&gt;
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&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgGEWQMUlK_R6vi0Dgi6AZNkKyWOVneznx7N5EIuZRnG_lpLTLcNhN0vZ8T-gDqxdpGKTRrWrq5tlZ_W3eHpumUU2sNTW97W42xNu569-IbXVc8YPnbDGRJubD5zTjyn98jk4wPqXONAaTz/s1600/fdfdf.png&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; display: inline !important; margin-bottom: 1em; margin-right: 1em; text-align: center;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;320&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgGEWQMUlK_R6vi0Dgi6AZNkKyWOVneznx7N5EIuZRnG_lpLTLcNhN0vZ8T-gDqxdpGKTRrWrq5tlZ_W3eHpumUU2sNTW97W42xNu569-IbXVc8YPnbDGRJubD5zTjyn98jk4wPqXONAaTz/s320/fdfdf.png&quot; width=&quot;280&quot; /&gt;&lt;/a&gt;&lt;br /&gt;
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&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgyO1Myyt2gqB2sUZCDQwamb3W88qL94fmWBZDOPDZLLUavXh_w2jigkQsgeLsC35Xxxx1s7BXkHgHVcaD9_I8JryCLDCeCuEhqgIFmbM8vkToH2jZ445yImeWj4nqZYV6UMFnos-PbvqGZ/s1600/re.png&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;
</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/4598713105473265800/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/08/modelos-con-un-servidor-mm1-plps.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/4598713105473265800'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/4598713105473265800'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/08/modelos-con-un-servidor-mm1-plps.html' title='Modelos con Un Servidor (M/M/1) : (DG/∝/∝)'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjl7RLSnXaQRJFHx30z65Lpte5QaMRKcdknbph-rs45m-_VS5dbB0Up3o7qWcdhcbO6J4I-WxmroDoCZsHBct6vgy3a2Vj5OYM6QxkWT1xvzrr68Qgj37PN7YwXcM3783JTJkonSoiFhnOB/s72-c/hhh.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-3455197905484275850</id><published>2012-08-19T13:00:00.000-07:00</published><updated>2012-08-19T17:59:21.501-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Estado Estable"/><category scheme="http://www.blogger.com/atom/ns#" term="Medidas de Rendimiento"/><title type='text'>Medidas de Rendimiento de Estado Estable</title><content type='html'>&lt;br /&gt;
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CANTIDA DE CLIENTES EN SISTEMA &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; line-height: 115%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: ES-CO;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
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CANTIDAD CLIENTES EN LA COLA&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; line-height: 115%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: ES-CO;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span lang=&quot;ES-MX&quot; style=&quot;font-family: &amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; line-height: 115%; mso-ansi-language: ES-MX; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: ES-CO;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span lang=&quot;ES-MX&quot; style=&quot;font-family: &amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; line-height: 115%; mso-ansi-language: ES-MX; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: ES-CO;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span lang=&quot;ES-MX&quot; style=&quot;font-family: &amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; line-height: 115%; mso-ansi-language: ES-MX; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: ES-CO;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span lang=&quot;ES-MX&quot; style=&quot;font-family: &amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; line-height: 115%; mso-ansi-language: ES-MX; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: ES-CO;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span lang=&quot;ES-MX&quot; style=&quot;font-family: &amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; line-height: 115%; mso-ansi-language: ES-MX; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: ES-CO;&quot;&gt;Ws=
TIEMPO EN EL SISTEMA&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; line-height: 115%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: ES-CO;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
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&lt;div class=&quot;MsoNormal&quot;&gt;
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&lt;span lang=&quot;ES-MX&quot; style=&quot;font-family: &amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; line-height: 115%; mso-ansi-language: ES-MX; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: ES-CO;&quot;&gt;Wq =
TIEMPO EN LA COLA&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; line-height: 115%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: ES-CO;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span lang=&quot;ES-MX&quot; style=&quot;font-family: &amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; line-height: 115%; mso-ansi-language: ES-MX; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: ES-CO;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
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SERVIDORES OCUPADOS PROMEDIO&amp;nbsp;&lt;/span&gt;&lt;/div&gt;
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&lt;span lang=&quot;ES-MX&quot; style=&quot;font-family: &amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; line-height: 115%; mso-ansi-language: ES-MX; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: ES-CO;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span lang=&quot;ES-MX&quot; style=&quot;font-family: &amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; line-height: 115%; mso-ansi-language: ES-MX; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: ES-CO;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span lang=&quot;ES-MX&quot; style=&quot;font-family: &amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; line-height: 115%; mso-ansi-language: ES-MX; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: ES-CO;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span lang=&quot;ES-MX&quot; style=&quot;font-family: &amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; line-height: 115%; mso-ansi-language: ES-MX; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: ES-CO;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span lang=&quot;ES-MX&quot; style=&quot;font-family: &amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; line-height: 115%; mso-ansi-language: ES-MX; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: ES-CO;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span lang=&quot;ES-MX&quot; style=&quot;font-family: &amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; line-height: 115%; mso-ansi-language: ES-MX; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: ES-CO;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span lang=&quot;ES-MX&quot; style=&quot;font-family: &amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; line-height: 115%; mso-ansi-language: ES-MX; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: ES-CO;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span lang=&quot;ES-MX&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: large;&quot;&gt;&lt;span style=&quot;line-height: 17.77777862548828px;&quot;&gt;Utilización&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: large;&quot;&gt;&lt;span style=&quot;line-height: 115%;&quot;&gt;&amp;nbsp;de la&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;line-height: 27.77777862548828px;&quot;&gt;instalación&lt;/span&gt;&lt;span style=&quot;line-height: 115%;&quot;&gt;&amp;nbsp;o sistema&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span lang=&quot;ES-MX&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: large;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/3455197905484275850/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/08/medidas-de-rendimiento-de-estado-estable.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/3455197905484275850'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/3455197905484275850'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/08/medidas-de-rendimiento-de-estado-estable.html' title='Medidas de Rendimiento de Estado Estable'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjEE3z66WDtknR0QZdcpIpv3Xrcvs9JpAE3B4rdN2M-_IKsk5pmIPoZC6A5gf6KfIYPjUpHQZ3Rm02FXaCykJrDFsUr8JApY7_ZSIyB-cvI4PoexjeUqM9zx0vZUh7J9xqfWYMgK1eq4Ju2/s72-c/fff.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-8593775014814641614</id><published>2012-08-19T12:30:00.001-07:00</published><updated>2012-08-19T17:58:40.691-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Distribución de Kendall"/><category scheme="http://www.blogger.com/atom/ns#" term="Modelo Kendall"/><category scheme="http://www.blogger.com/atom/ns#" term="Poisson"/><title type='text'>Colas Especializadas de Poisson</title><content type='html'>&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;Distribución&amp;nbsp;de Kendall&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Calibri; font-weight: bold; text-align: center; text-indent: -0.38in;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;br /&gt;
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&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;David G. Kendall introdujo una notación de colas
A/B/C en 1953. La notación de Kendall para describir las colas y sus características
puede encontrarse en Tijms, H.C,Algorithmic Analysis of Queues, Capítulo 9 en A
First Course in Stochastic Models, Wiley, Chichester, 2003. Ha sido desde
entonces extendida a (1/2/3/(4/5/6) donde los números se reemplazan con:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;Un código que describe el proceso de llegada. Los
códigos usados son:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;b&gt;&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;M&lt;/span&gt;&lt;/b&gt;&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt; para
&quot;Markoviano&quot; (la tasa de llegadas sigue una distribución de Poisson),
significando una distribución exponencial para los tiempos entre llegadas.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;D&lt;/span&gt;&lt;/b&gt;&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt; para
unos tiempos entre llegadas &quot;determinísticas&quot;.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;b&gt;&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;G&lt;/span&gt;&lt;/b&gt;&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt; para una
&quot;distribución general&quot; de los tiempos entre llegadas, o del régimen
de llegadas.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;Un código similar que representa el proceso de
servicio (tiempo de servicio). Se usan los mismos símbolos.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;El número de canales de servicio (o servidores).&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;La capacidad del sistema, o el número máximo de
clientes permitidos en el sistema incluyendo esos en servicio. Cuando el número
está al máximo, las llegadas siguientes son rechazadas. Un caso particular de
esta situación es el modelo M/M/n/n o Erlang-B, en el cual no hay cola de
espera, sino n recursos (servidores) y hasta n usuarios como máximo; si llega
el usuario n+1, es rechazado. Este último modelo es el que se aplica en
telefonía convencional. Otro caso particular es el modelo Erlang-C o M/M/n,
donde la capacidad del sistema es ilimitada, aunque haya sólo n recursos; en
caso de llegar el recurso número n+1, pasará a una cola de espera, pero no es
rechazado.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;El orden de prioridad en la que los trabajos en la
cola son servidos:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span lang=&quot;EN-US&quot; style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;First
Come First Served (FCFS) ó First In First Out (FIFO) ,&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;Last Come
First Served (LCFS) o Last In First Out (LIFO) ,&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;Service
In Random Order (SIRO) y&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;Processor Sharing.&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;El tamaño del origen de las llamadas. El tamaño de
la población desde donde los clientes vienen. Esto limita la tasa de llegadas.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-size: large;&quot;&gt;Modelo Kendall&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Calibri; font-weight: bold; text-align: center; text-indent: -0.38in;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;(a/b/c):(d/e/f)&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Calibri; font-weight: bold; text-align: center; text-indent: -0.38in;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;br /&gt;
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&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;a: distribución de llegada&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-align: justify; text-indent: -0.38in; unicode-bidi: embed; word-break: normal;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;b: distribución de salida o tiempo de
servicio&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-align: justify; text-indent: -0.38in; unicode-bidi: embed; word-break: normal;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;c: cantidad de servidores en paralelo&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-align: justify; text-indent: -0.38in; unicode-bidi: embed; word-break: normal;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;d: disciplina de la cola&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-align: justify; text-indent: -0.38in; unicode-bidi: embed; word-break: normal;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;e: cantidad máxima del sistema&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-align: justify; text-indent: -0.38in; unicode-bidi: embed; word-break: normal;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;f: tamaño de la fuente&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-align: justify; text-indent: -0.38in; unicode-bidi: embed; word-break: normal;&quot;&gt;
&lt;span style=&quot;font-family: Calibri;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
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</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/8593775014814641614/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/08/colas-especializadas-de-poisson.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/8593775014814641614'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/8593775014814641614'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/08/colas-especializadas-de-poisson.html' title='Colas Especializadas de Poisson'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2BKgLRR0td0pJ0FfBx8X_HrVP5_fIjozhkg1AasKh6O4RIjUd3xQDLSLaD_JXQJqSDgDDoEp5oOX_0WJOcv-DyrW5a9KA06KTMDccm21ywoT0MP0W_sE7pigU3qCJGlrehHiYCmsrkHLu/s72-c/teoriacola2.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-2394658475690164960</id><published>2012-08-19T11:53:00.001-07:00</published><updated>2012-08-19T17:57:44.864-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Balance"/><category scheme="http://www.blogger.com/atom/ns#" term="Estado Estable"/><title type='text'>Modelo Generalizado de Colas de Poisson</title><content type='html'>&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;El&amp;nbsp;desarrollo&amp;nbsp;del modelo generalizado se basa en el comportamiento a largo plazo del &lt;b&gt;estado estable&lt;/b&gt; en el modelo de colas, el cual se logra&amp;nbsp;después&amp;nbsp;de que el sistema ha estado en un tiempo de&amp;nbsp;operación&amp;nbsp;prolongado, el cual contrasta con el tiempo &lt;b&gt;transitoria&lt;/b&gt; o de calentamiento del modelo&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;/div&gt;
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&lt;ul&gt;
&lt;li&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 115%;&quot;&gt;&lt;b&gt;Estado estable&lt;/b&gt;: comportamiento de largo plazo&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 115%;&quot;&gt;Que se alcanza por funcionamiento de la cola por
largo plazo&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;b style=&quot;line-height: 17.77777862548828px;&quot;&gt;Bajo estado estable&lt;/b&gt;&lt;span style=&quot;line-height: 17.77777862548828px;&quot;&gt;: tasa de entrada y salida debe ser iguales&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 115%;&quot;&gt;Frecuencia de llegada y salida depende del estado&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 115%;&quot;&gt;La probabilidad se calcula usando el diagrama de
frecuencia de transición&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;
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&lt;br /&gt;
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&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;br /&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;las tasas esperadas de &amp;nbsp;d flujo de entrada y salida del estrado deben ser iguales&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;Con&amp;nbsp;relación&amp;nbsp;al siguiente diagrama de &amp;nbsp;tasa de&amp;nbsp;transición&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;En General el modelo de&amp;nbsp;ecuación&amp;nbsp;de balance seria&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;background-color: white; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13.333333969116211px; line-height: 20px;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
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</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/2394658475690164960/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/08/modelo-generalizado-de-colas-de-poisson.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/2394658475690164960'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/2394658475690164960'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/08/modelo-generalizado-de-colas-de-poisson.html' title='Modelo Generalizado de Colas de Poisson'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhWTwQuf_3dltQVXxrgc0tyVehXT5XOxI2r0l2Al0Kib2rS1xXAYQR77TkzTpPRMpdDSPV7Bl4rc4qhueU5zWe_q-kk5W_-ePzlcejIcYXMPSlB3b7Io_NGpRjKRrMUeYkFupCIIkzSWsLw/s72-c/fl.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-7747281082407114401</id><published>2012-08-19T11:09:00.000-07:00</published><updated>2012-08-19T17:56:51.480-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Muerte Puras"/><category scheme="http://www.blogger.com/atom/ns#" term="Nacimientos Puros"/><title type='text'>Modelo de Nacimientos y Muertes Puros</title><content type='html'>&lt;br /&gt;
El termino de &lt;b&gt;Nacimientos Puras&lt;/b&gt; es cuando solo se le permite llegadas al sistema ; el de &lt;b&gt;Muertes Puras &lt;/b&gt;cuando solo se permiten salidas del sistema&lt;br /&gt;
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&lt;span style=&quot;font-size: large;&quot;&gt;&lt;b&gt;Nacimientos Puros&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
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proceso completamente aleatorio que se puede&amp;nbsp;describir por medio de una distribución de Poisson.&lt;br /&gt;
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Probabilidad de un Evento Cero condicionada por:&lt;br /&gt;
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&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFehtnqoVvP8kaPMtJwAThT3AUsrVLNDdFaTC2OAOzbv91JwjoBVI6J7UkNvEt_0N5MqDcXL4vwr8C8aj65MBK3AIK-QgxEgwUEkZABEo1e_8lkx1EkkeKnG2O-S9_3BlZQ_2r5spmv69-/s1600/b.png&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;58&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFehtnqoVvP8kaPMtJwAThT3AUsrVLNDdFaTC2OAOzbv91JwjoBVI6J7UkNvEt_0N5MqDcXL4vwr8C8aj65MBK3AIK-QgxEgwUEkZABEo1e_8lkx1EkkeKnG2O-S9_3BlZQ_2r5spmv69-/s200/b.png&quot; width=&quot;200&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
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Probabilidad de un Evento n condicionada por :&lt;br /&gt;
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&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTSUZ6zPwZzAw_A67B9WWPdEUzseI5wZE0g9y3KON28uf5-Up3gzg-f7kpAmkmNGmwynjFr_gBIZBL3W50-rg0XCcF6kw-4lMKzTqR49aA28HR7Hl756XmI8RKtqiDGIee-n6Z5cUtEDZL/s1600/Imagen2.png&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;102&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTSUZ6zPwZzAw_A67B9WWPdEUzseI5wZE0g9y3KON28uf5-Up3gzg-f7kpAmkmNGmwynjFr_gBIZBL3W50-rg0XCcF6kw-4lMKzTqR49aA28HR7Hl756XmI8RKtqiDGIee-n6Z5cUtEDZL/s320/Imagen2.png&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: &amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; line-height: 115%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: ES-CO;&quot;&gt;Donde λ es la tasa de llegadas por unidad de tiempo,
con el número esperado de llegadas durante t igual a λ t.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-size: large;&quot;&gt;&lt;b&gt;Muertes Puras&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
o bien&amp;nbsp;conocidas&amp;nbsp;como la&amp;nbsp;distribución truncada de&amp;nbsp;Poisson.&lt;br /&gt;
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Probabilidad de un Evento Cero condicionada por:
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&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgr9U3gURJaroZa_E-S4_UVfbsjcmTM2lqjbmb72Um1YhaV3JGj7BQ66kbPPQ_-noU7VXwqZpBGb3Sw7nY60Bvb93zk3vLRwaM_8YrDIkiCG5ZtY64k4KI-21UkxqHfwBW3dOarqFtImuFp/s1600/Imagen33.jpg&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;105&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgr9U3gURJaroZa_E-S4_UVfbsjcmTM2lqjbmb72Um1YhaV3JGj7BQ66kbPPQ_-noU7VXwqZpBGb3Sw7nY60Bvb93zk3vLRwaM_8YrDIkiCG5ZtY64k4KI-21UkxqHfwBW3dOarqFtImuFp/s320/Imagen33.jpg&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
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Probabilidad de un Evento n condicionada por :
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Donde u es la frecuencia de salida</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/7747281082407114401/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/08/modelo-de-nacimientos-y-muertes-puros.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/7747281082407114401'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/7747281082407114401'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/08/modelo-de-nacimientos-y-muertes-puros.html' title='Modelo de Nacimientos y Muertes Puros'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFehtnqoVvP8kaPMtJwAThT3AUsrVLNDdFaTC2OAOzbv91JwjoBVI6J7UkNvEt_0N5MqDcXL4vwr8C8aj65MBK3AIK-QgxEgwUEkZABEo1e_8lkx1EkkeKnG2O-S9_3BlZQ_2r5spmv69-/s72-c/b.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-5717511357807813118</id><published>2012-08-19T10:18:00.001-07:00</published><updated>2012-08-19T17:55:54.001-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Distribución Exponencial"/><category scheme="http://www.blogger.com/atom/ns#" term="elementos de las Colas"/><category scheme="http://www.blogger.com/atom/ns#" term="Poisson"/><category scheme="http://www.blogger.com/atom/ns#" term="Sistemas de Colas"/><title type='text'>Papel de La Distribución Exponencial en un Sistema de Colas</title><content type='html'>&lt;div style=&quot;text-align: justify;&quot;&gt;
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&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiTLlt6_oMyCgn__xm48t3JC27L8pCW2rvyEC3j_NC8dUUmu2pYLX3eyj0l4fNEb7H3911eYAsaoCiSYDvPgxFvoWhsP0J-iD7lVQOolz95Nzg2PyBmuQVHpuiHJVdokyv0fY63wVuyhUPj/s1600/xzxz.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;218&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiTLlt6_oMyCgn__xm48t3JC27L8pCW2rvyEC3j_NC8dUUmu2pYLX3eyj0l4fNEb7H3911eYAsaoCiSYDvPgxFvoWhsP0J-iD7lVQOolz95Nzg2PyBmuQVHpuiHJVdokyv0fY63wVuyhUPj/s400/xzxz.png&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;En la mayor parte de las situaciones de ccolas, el arribo de los clientes ocure d forma totalmente aleatoria, este caracter aleatorio significa que la ocurrencia de un evento no esta condicionada o iunfluida por la ocurrencia del evenbto inmediatamente anterior&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;Condiciones :&lt;/span&gt;&lt;/div&gt;
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&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;La mayoria de los casos la llegada es aleatoria sin
influencia del tiempo transcurrido entre el evento anterior&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;Los tiempo aleatorios de llegada se describen con
la distribucion exponencial&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;b&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;Distribución&lt;span style=&quot;text-indent: -0.38in;&quot;&gt;&amp;nbsp;Exponencial&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
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</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/5717511357807813118/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/08/papel-de-la-distribucion-exponencial-en.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/5717511357807813118'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/5717511357807813118'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/08/papel-de-la-distribucion-exponencial-en.html' title='Papel de La Distribución Exponencial en un Sistema de Colas'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiTLlt6_oMyCgn__xm48t3JC27L8pCW2rvyEC3j_NC8dUUmu2pYLX3eyj0l4fNEb7H3911eYAsaoCiSYDvPgxFvoWhsP0J-iD7lVQOolz95Nzg2PyBmuQVHpuiHJVdokyv0fY63wVuyhUPj/s72-c/xzxz.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-8022305009536300110</id><published>2012-08-19T09:59:00.003-07:00</published><updated>2012-08-19T17:55:09.503-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="elementos de las Colas"/><category scheme="http://www.blogger.com/atom/ns#" term="Sistemas de Colas"/><title type='text'>SIATEMA DE COLAS</title><content type='html'>&lt;div&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiOMr-F9x3D3Lp_NeGMG2O9ce3MMc_G5g-0Rt1EUUb3jhiHX91OjFAo6LN1E9UUNIe718ymGlisFdVK1XYGvMMf506fETH9I5pNYjU536YDkFLXif0TVbZ8cpAuZ4noAb8W14_WHXAl-Ihj/s1600/xxx.jpg&quot; imageanchor=&quot;1&quot; style=&quot;clear: right; float: right; margin-bottom: 1em; margin-left: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;320&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiOMr-F9x3D3Lp_NeGMG2O9ce3MMc_G5g-0Rt1EUUb3jhiHX91OjFAo6LN1E9UUNIe718ymGlisFdVK1XYGvMMf506fETH9I5pNYjU536YDkFLXif0TVbZ8cpAuZ4noAb8W14_WHXAl-Ihj/s320/xxx.jpg&quot; width=&quot;286&quot; /&gt;&lt;/a&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: x-small;&quot;&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;
&lt;/span&gt;&lt;/div&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;El estudio de colas determina las medidas de funcionamiento de una&amp;nbsp;situación&amp;nbsp;d colas, incluyendo el tiempo de espera y la longitud de la cola promedio, entre otras, esta&amp;nbsp;información&amp;nbsp;nos sirve para decidir respecto a un nivel apropiado de servicio para las instalaciones de la&amp;nbsp;organización&lt;/span&gt;&lt;/div&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;
&lt;/span&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; text-indent: -27.35pt;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;b style=&quot;text-indent: -27.35pt;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;Medidas de eficiencia&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;b style=&quot;text-indent: -27.35pt;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/b&gt;
&lt;br /&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;
&lt;/div&gt;
&lt;ol&gt;
&lt;li&gt;&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;Longitud promedio de la cola&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;Tiempo promedio de espera&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: Arial, sans-serif; line-height: 115%;&quot;&gt;Utilización
promedio de intslaciones&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; word-break: normal;&quot;&gt;
&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-bottom: 0.0001pt; text-align: justify; text-indent: -40.3pt;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&amp;nbsp; &amp;nbsp; 1&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-bottom: 0.0001pt; text-align: justify; text-indent: -40.3pt;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-bottom: 0.0001pt; text-align: justify; text-indent: -40.3pt;&quot;&gt;
&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 115%;&quot;&gt;Modelo de formación de colas&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 115%;&quot;&gt;Se forman debido a un desequilibrio temporal entre
la demanda del servicio y la capacidad del sistema para suministrarlo.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 115%;&quot;&gt;En las formaciones de colas se habla de clientes,
tales como máquinas dañadas a la espera de ser rehabilitadas. Los clientes
pueden esperar en cola debido a que los medios existentes sean inadecuados para
satisfacer la demanda del servicio; en este caso, la cola tiende a ser
explosiva, es decir, a ser cada vez más larga a medida que transcurre el
tiempo. Los clientes puede que esperen temporalmente, aunque las instalaciones
de servicio sean adecuadas, porque los clientes llegados anteriormente están
siendo atendidos.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 115%;&quot;&gt;Objetivos&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 115%;&quot;&gt;Los objetivos de la teoría de colas consisten en:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoListParagraphCxSpFirst&quot; style=&quot;mso-list: l0 level1 lfo1; text-indent: -18.0pt;&quot;&gt;
&lt;/div&gt;
&lt;ul&gt;
&lt;li style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;span style=&quot;line-height: 115%; text-indent: -18pt;&quot;&gt;Identificar el nivel óptimo de
capacidad del sistema que minimiza el coste del mismo.&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;span style=&quot;line-height: 115%; text-indent: -18pt;&quot;&gt;Evaluar el impacto que las posibles
alternativas de modificación de la capacidad del sistema tendrían en el coste
total del mismo.&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;span style=&quot;line-height: 115%; text-indent: -18pt;&quot;&gt;Establecer un balance equilibrado
(“óptimo”) entre las consideraciones cuantitativas de costes y las cualitativas
de servicio.&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;span style=&quot;line-height: 115%; text-indent: -18pt;&quot;&gt;Prestar atención al tiempo de
permanencia en el sistema o en la cola de espera.&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;
&lt;br /&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;b&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 115%;&quot;&gt;Elementos existentes en la teoría de colas&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;b&gt;&lt;span style=&quot;line-height: 115%;&quot;&gt;Proceso básico de colas&lt;/span&gt;&lt;/b&gt;&lt;span style=&quot;line-height: 115%;&quot;&gt;: Los clientes que requieren un
servicio se generan en una fase de entrada. Estos clientes entran al sistema y
se unen a una cola. En determinado momento se selecciona un miembro de la cola,
para proporcionarle el servicio, mediante alguna regla conocida como disciplina
de servicio. Luego, se lleva a cabo el servicio requerido por el cliente en un
mecanismo de servicio, después de lo cual el cliente sale del sistema de colas.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;b&gt;&lt;span style=&quot;line-height: 115%;&quot;&gt;Fuente de entrada o población potencial&lt;/span&gt;&lt;/b&gt;&lt;span style=&quot;line-height: 115%;&quot;&gt;: Una característica de la fuente de entrada es su tamaño. El tamaño es
el número total de clientes que pueden requerir servicio en determinado
momento. Puede suponerse que el tamaño es infinito o finito.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;b&gt;&lt;span style=&quot;line-height: 115%;&quot;&gt;Cliente&lt;/span&gt;&lt;/b&gt;&lt;span style=&quot;line-height: 115%;&quot;&gt;: Es todo individuo de la población
potencial que solicita servicio como por ejemplo una lista de trabajo esperando
para imprimirse.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;b&gt;&lt;span style=&quot;line-height: 115%;&quot;&gt;Capacidad de la cola&lt;/span&gt;&lt;/b&gt;&lt;span style=&quot;line-height: 115%;&quot;&gt;: Es el máximo número de clientes que
pueden estar haciendo cola (antes de comenzar a ser servidos). De nuevo, puede
suponerse finita o infinita.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;b&gt;&lt;span style=&quot;line-height: 115%;&quot;&gt;Disciplina de la cola&lt;/span&gt;&lt;/b&gt;&lt;span style=&quot;line-height: 115%;&quot;&gt;: La disciplina de la cola se refiere
al orden en el que se seleccionan sus miembros para recibir el servicio.&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-bottom: 0.0001pt; text-align: justify; text-indent: -40.3pt;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: x-small;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-bottom: 0.0001pt; text-align: justify; text-indent: -40.3pt;&quot;&gt;
&lt;/div&gt;
&lt;h2 style=&quot;background-color: white; background-image: none; border-bottom-color: rgb(170, 170, 170); border-bottom-style: solid; border-bottom-width: 1px; font-weight: normal; line-height: 19.200000762939453px; margin: 0px 0px 0.6em; overflow: hidden; padding-bottom: 0.17em; padding-top: 0.5em; text-align: start; text-indent: 0px;&quot;&gt;
&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: x-small;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/h2&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;/div&gt;
</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/8022305009536300110/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2012/08/siatema-de-colas.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/8022305009536300110'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/8022305009536300110'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2012/08/siatema-de-colas.html' title='SIATEMA DE COLAS'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiOMr-F9x3D3Lp_NeGMG2O9ce3MMc_G5g-0Rt1EUUb3jhiHX91OjFAo6LN1E9UUNIe718ymGlisFdVK1XYGvMMf506fETH9I5pNYjU536YDkFLXif0TVbZ8cpAuZ4noAb8W14_WHXAl-Ihj/s72-c/xxx.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-1053831331346900516</id><published>2011-05-17T07:31:00.000-07:00</published><updated>2011-05-17T07:36:26.187-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Higiene"/><title type='text'>Seguridad Industrial e Higiene</title><content type='html'>&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;La higiene se define como la &quot;parte de la medicina que tiene por objeto la conservación de la salud y los medios de precaver las enfermedades&quot;; en consecuencia, para aplicar la higiene en el trabajo se deberá observar, establecer y además, vigilar las condiciones que conlleven y ayuden a conservar y mantener un medio de trabajo lo suficientemente sano, y de esta manera evitar al máximo enfermedades.&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwFLU34HHOz88PijTnpFWJbQqmLiBtln0ag7Lqfay9UlamIZwWOhHBOsZxcSp5VMS81iE91-s5rgKUcDgDlmZRml2TY8DHM6bxWXYUwCQGKm5YuwIFoXiaby4b_Tben7MdFjZKsXnqmSCi/s1600/Salud+laboral+3.jpg&quot; imageanchor=&quot;1&quot; style=&quot;clear: right; float: right; margin-bottom: 1em; margin-left: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwFLU34HHOz88PijTnpFWJbQqmLiBtln0ag7Lqfay9UlamIZwWOhHBOsZxcSp5VMS81iE91-s5rgKUcDgDlmZRml2TY8DHM6bxWXYUwCQGKm5YuwIFoXiaby4b_Tben7MdFjZKsXnqmSCi/s1600/Salud+laboral+3.jpg&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;La higiene Industrial es un sistema de principios y reglas dedicados al reconocimiento, evaluación y control de factores del ambiente, psicológicos o tensionales de riesgo, que provienen del trabajo y que pueden causar enfermedades o deteriorar la salud. Cuando se habla de higiene industrial, esas actividades se realizan sobre aquellos factores de riesgos ambientales o tensiones provocadas por o con motivo del trabajo y en ocasiones hasta pueden originar cuadros epidémicos o endémicos.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;La Enfermedad Profesional se define como un estado patológico que sobreviene por una causa repetida durante largo tiempo, como obligada consecuencia de la clase de trabajo que desempeña la persona, o del medio en que tiene que trabajar y que produce en el organismo una lesión o perturbación funcional o mental, trastornos enzimáticos o bioquímicos, permanentes o transitorios, pudiendo ser originada por agentes químicos, físicos, biológicos, de energía o psicológicos.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;Existe una relación muy estrecha entre los términos higiene y seguridad industrial, debido a que ambos están representados por un conjunto de principios, leyes, criterios y normas formuladas con el objetivo de prevenir acciones que puedan ocasionar daños a los trabajadores.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;Los índices de ausentismo debido a enfermedades comunes motivadas por infecciones de tipo gastrointestinal, vías respiratorias, etc., reducen considerablemente la productividad y el desarrollo de las empresas, por lo que la higiene en el trabajo es un renglón muy importante.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;Al terminar las labores del día o del turno, los trabajadores deberán limpiar el área de trabajo: retirarán las herramientas utilizadas, las limpiarán y las colocarán en el lugar que le corresponda; asearán la máquina que hayan empleado, y retirarán todas las rebabas, aceites, estopas, para dejarla en condiciones de trabajo para el día siguiente o para el turno posterior; así mismo limpiarán el piso correspondiente a su área de trabajo, cuidando de no dejar manchas de aceite u otros materiales resbalosos o inflamables.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;Enseguida, procederán a despojarse de la ropa de trabajo y la colocarán en los sitios que se hayan asignado para tal efecto. Si existen duchas, deberán ser utilizadas.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;La ropa de trabajo. No deberá ser muy holgada pero tampoco será muy ajustada; por supuesto, tendrá un aseo cíclico determinado por el tipo de trabajo de que se trate.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;En las oficinas donde se utilicen máquinas de impresión deberán existir batas adecuadas para tal contacto. Para trabajar con máquinas herramientas tales como tornos, cepillos, fresadoras, sierras de cinta, etc., se sugiere usar calcetines de lana y poner tarimas para auxiliar al operador y para evitar el contacto directo con el piso, que regularmente está frío.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;Es una obligación que la ley impone a patrones y a trabajadores y que también se debe organizar dentro de determinados cánones (Reglas) y hacer funcionar dentro de determinados procedimientos.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;El patrón estará obligado a observar, de acuerdo con la naturaleza de su negociación, los preceptos legales (cada una de las instrucciones o reglas que se dan o establecer para el manejo o conocimiento de un arte o facultad) sobre higiene y seguridad en las instalaciones de su establecimiento, y a adoptar las medidas adecuada para prevenir accidente en el uso de las máquinas, instrumentos y materiales de trabajo, así como a organizar de tal manera éste, que resulte la mayor garantía para la salud y la vida de los trabajadores, y del producto de la concepción, cuando se trate de mujeres embarazada. Las leyes contendrán al efecto, las sanciones procedentes en cada caso.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;La seguridad industrial se define como un conjunto de normas y procedimientos para crear un ambiente seguro de trabajo, a fin de evitar pérdidas personales y/o materiales.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;Otros autores la definen como el proceso mediante el cual el hombre, tiene como fundamento su conciencia de seguridad, minimiza las posibilidades de daño de sí mismo, de los demás y de los bienes de la empresa. Otros consideran que la seguridad es la confianza de realizar un trabajo determinado sin llegar al descuido. Por tanto, la empresa debe brindar un ambiente de trabajo seguro y saludable para todos los trabajadores y al mismo tiempo estimular la prevención de accidentes fuera del área de trabajo. Si las causas de los accidentes industriales pueden ser controladas, la repetición de éstos será reducida.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span class=&quot;Apple-style-span&quot; style=&quot;font-family: Arial, Helvetica, sans-serif;&quot;&gt;La seguridad industrial se ha definido como el conjunto de normas y principios encaminados a prevenir la integridad física del trabajo, así como el buen uso y cuidado de las maquinarias, equipos y herramientas de la empresa.&lt;/span&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;br /&gt;</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/1053831331346900516/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2011/05/seguridad-industrial-e-higiene.html#comment-form' title='0 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/1053831331346900516'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/1053831331346900516'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2011/05/seguridad-industrial-e-higiene.html' title='Seguridad Industrial e Higiene'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwFLU34HHOz88PijTnpFWJbQqmLiBtln0ag7Lqfay9UlamIZwWOhHBOsZxcSp5VMS81iE91-s5rgKUcDgDlmZRml2TY8DHM6bxWXYUwCQGKm5YuwIFoXiaby4b_Tben7MdFjZKsXnqmSCi/s72-c/Salud+laboral+3.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-3880792157378566593.post-4654948398361458295</id><published>2011-05-17T07:29:00.000-07:00</published><updated>2011-05-17T07:36:43.119-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Seguridad"/><title type='text'>Seguridad Laboral</title><content type='html'>&lt;br /&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
La relación costo beneficio toma los ingresos y egresos
presentes netos del estado de resultado, para determinar cuáles son los
beneficios por cada peso que se sacrifica en el proyecto.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
Cuando se menciona los ingresos netos, se hace referencia a
los ingresos que efectivamente se recibirán en los años proyectados.&amp;nbsp; Al mencionar los egresos presente netos se
toman aquellas partidas que efectivamente generarán salidas de efectivo durante
los diferentes periodos, horizonte del proyecto.&amp;nbsp; Como se puede apreciar el estado de flujo
neto de efectivo es la herramienta que suministra los datos necesarios para el
cálculo de este indicador.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
La relación beneficio / costo es un indicador que mide el
grado de desarrollo y bienestar que un proyecto puede generar a una comunidad.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
En nuestro país es normal que a los empleados se les haga
trabajar horas extras, de noche, domingos y festivos y no se les pague. Es
bastante común que se despida a un trabajador sin justa causa y no se le pague
la respectiva indemnización. Es común que le maltrate o acose, que se le obliga
a renunciar o aceptar condiciones cada vez más desmejoradas y un largo etcétera
que preocupa.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
Desafortunadamente la mayoría de los trabajadores ni
siquiera intentan hacer valer sus derechos, tal vez por el temor a quedar sin
trabajo, trabajo que hoy es supremamente difícil conseguir. O tal vez se
desanima ante un sistema judicial que muy poca soluciones brindan a los
trabajadores. Un proceso laboral es largo y costoso, y en muchos casos
infructuoso si el caso es contra una empresa grande que tiene dinero e
influencias. Muchas veces la inoperancia absoluta del ministerio de la
protección social es suficiente para que un trabajador desista de cualquier
querella contra su empleador. Todo esto ha llevado que muchos empleados vean
sus “derechos” laborales como un imposible.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
Y parece ser que muchos empleadores se han dado cuenta de
ello. La probabilidad de que un trabajador demande judicialmente a su empleador
es muy baja. Y sí lo demanda, la probabilidad de tener éxito no es muy
alentadora, aún en casos en que las pruebas y los hechos hablan por sí
solos.&amp;nbsp; Con un panorama así, el riesgo es
mínimo frente a los beneficios económicos de incumplir la legislación laboral.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
La gran mayoría de los trabajadores colombianos apenas
devengan un salario mínimo, lo que hace improbable que alguien tenga el ánimo
de luchar por tan poco y con tan poca posibilidad de éxito. Hay que tener en
cuenta que con un salario mínimo, a muchas personas no les sobra ni para pagar
un taxi para buscar un abogado, mucho menos para contratarlo o para perder
tiempo reuniendo papeles y pruebas.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
En nuestro país es normal que a los empleados se les haga
trabajar horas extras, de noche, domingos y festivos y no se les pague. Es
bastante común que se despida a un trabajador sin justa causa y no se le pague
la respectiva indemnización. Es común que le maltrate o acose, que se le obliga
a renunciar o aceptar condiciones cada vez más desmejoradas y un largo etcétera
que preocupa.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
Desafortunadamente la mayoría de los trabajadores ni
siquiera intentan hacer valer sus derechos, tal vez por el temor a quedar sin
trabajo, trabajo que hoy es supremamente difícil conseguir. O tal vez se
desanima ante un sistema judicial que muy poca soluciones brindan a los
trabajadores. Un proceso laboral es largo y costoso, y en muchos casos
infructuoso si el caso es contra una empresa grande que tiene dinero e
influencias. Muchas veces la inoperancia absoluta del ministerio de la
protección social es suficiente para que un trabajador desista de cualquier
querella contra su empleador. Todo esto ha llevado que muchos empleados vean
sus “derechos” laborales como un imposible.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
Y parece ser que muchos empleadores se han dado cuenta de
ello. La probabilidad de que un trabajador demande judicialmente a su empleador
es muy baja. Y sí lo demanda, la probabilidad de tener éxito no es muy
alentadora, aún en casos en que las pruebas y los hechos hablan por sí
solos.&amp;nbsp; Con un panorama así, el riesgo es
mínimo frente a los beneficios económicos de incumplir la legislación laboral.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;
La gran mayoría de los trabajadores colombianos apenas
devengan un salario mínimo, lo que hace improbable que alguien tenga el ánimo
de luchar por tan poco y con tan poca posibilidad de éxito. Hay que tener en
cuenta que con un salario mínimo, a muchas personas no les sobra ni para pagar
un taxi para buscar un abogado, mucho menos para contratarlo o para perder
tiempo reuniendo papeles y pruebas.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://prietoingenieria.blogspot.com/feeds/4654948398361458295/comments/default' title='Enviar comentarios'/><link rel='replies' type='text/html' href='http://prietoingenieria.blogspot.com/2011/05/seguridad-laboral.html#comment-form' title='1 comentarios'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/4654948398361458295'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/3880792157378566593/posts/default/4654948398361458295'/><link rel='alternate' type='text/html' href='http://prietoingenieria.blogspot.com/2011/05/seguridad-laboral.html' title='Seguridad Laboral'/><author><name>prietoingenieria</name><uri>http://www.blogger.com/profile/01837830548671604346</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><thr:total>1</thr:total></entry></feed>