{"id":2756,"date":"2016-02-17T10:13:09","date_gmt":"2016-02-17T09:13:09","guid":{"rendered":"http:\/\/smart--grid.net\/?page_id=2756"},"modified":"2022-12-03T22:59:01","modified_gmt":"2022-12-03T21:59:01","slug":"algorithme-dedmonds","status":"publish","type":"page","link":"https:\/\/complex-systems-ai.com\/es\/problema-de-planificacion\/algoritmo-dedmonds\/","title":{"rendered":"Algoritmo de Edmonds"},"content":{"rendered":"<div data-elementor-type=\"wp-page\" data-elementor-id=\"2756\" class=\"elementor elementor-2756\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2c0fd64 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2c0fd64\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-457a03b\" data-id=\"457a03b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8f6472a elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"8f6472a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/complex-systems-ai.com\/es\/problema-de-planificacion\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\"> Problema de planificaci\u00f3n<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-58d5f59\" data-id=\"58d5f59\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-413474c elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"413474c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/complex-systems-ai.com\/es\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Pagina de inicio<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-77bf250\" data-id=\"77bf250\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5d615bd elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"5d615bd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/fr.wikipedia.org\/wiki\/Algorithme_d%27Edmonds-Karp\" target=\"_blank\" rel=\"noopener\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Wiki<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7e137c9a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7e137c9a\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1a46d37\" data-id=\"1a46d37\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3b38f40a elementor-widget elementor-widget-text-editor\" data-id=\"3b38f40a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Contenido<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Tabla de contenido alternativo\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Palanca<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewbox=\"0 0 24 24\" version=\"1.2\" baseprofile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/complex-systems-ai.com\/es\/problema-de-planificacion\/algoritmo-dedmonds\/#Algorithme-dEdmonds\" >Algoritmo de Edmonds<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Algorithme-dEdmonds\"><\/span>Algoritmo de Edmonds<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>El objetivo del algoritmo de Edmonds es encontrar un acoplamiento perfecto (de m\u00e1xima cardinalidad) en un problema de asignaci\u00f3n.<\/p>\n\n<p>El problema del acoplamiento es el siguiente:<\/p>\n\n<div style=\"padding: 5px; background-color: #ffdcd3; border: 2px solid #ff7964; -moz-border-radius: 9px; -khtml-border-radius: 9px; -webkit-border-radius: 9px; border-radius: 9px;\">Construir un <a href=\"https:\/\/complex-systems-ai.com\/es\/teoria-de-grafos\/\">grafico<\/a> bipartito (los elementos de la izquierda est\u00e1n conectados solo a los elementos de la derecha por arcos, los elementos de la derecha no tienen conexi\u00f3n saliente) de modo que los elementos de la izquierda son las m\u00e1quinas y los elementos de la derecha son las tareas a realizar . Los arcos son de capacidad 1 y costo seg\u00fan tabla de asignaci\u00f3n. Si un flujo pasa por un borde (i, j), esto equivale a decir que la m\u00e1quina i realiza la tarea j.<\/div>\n\n<div style=\"padding: 3px; border: 2px dotted #a5a5a5; background-color: #f6f9fa;\">Para completar el gr\u00e1fico bipartito y convertirlo en un problema de flujo, cada elemento de la izquierda se vincula como un v\u00e9rtice terminal a una fuente ficticia. Cada elemento de l\u00ednea est\u00e1 vinculado como un v\u00e9rtice de origen a un pozo ficticio. Todos estos arcos tienen capacidad 1 y costo 0. Para resolver el problema de asignaci\u00f3n, aplicamos un <a href=\"https:\/\/complex-systems-ai.com\/es\/algoritmico\/\">algoritmo<\/a> de <a href=\"https:\/\/complex-systems-ai.com\/es\/problema-de-flujo-maximo\/\">flujo maximo<\/a> a un costo m\u00ednimo para el grafo bipartito construido.<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone wp-image-2766 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2016\/02\/edmonds.png\" alt=\"Problema de asignaci\u00f3n de coincidencia perfecta del algoritmo de Edmonds\" width=\"367\" height=\"265\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2016\/02\/edmonds.png 367w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2016\/02\/edmonds-300x217.png 300w\" sizes=\"(max-width: 367px) 100vw, 367px\" \/><\/figure>\n<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>Problema de planificaci\u00f3n P\u00e1gina de inicio Wiki Algoritmo de Edmonds El objetivo del algoritmo de Edmonds es encontrar una coincidencia perfecta (de cardinalidad m\u00e1xima) en un problema de asignaci\u00f3n. \u2026 <\/p>","protected":false},"author":1,"featured_media":0,"parent":868,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-2756","page","type-page","status-publish","hentry"],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/pages\/2756","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/comments?post=2756"}],"version-history":[{"count":4,"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/pages\/2756\/revisions"}],"predecessor-version":[{"id":17918,"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/pages\/2756\/revisions\/17918"}],"up":[{"embeddable":true,"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/pages\/868"}],"wp:attachment":[{"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/media?parent=2756"}],"curies":[{"name":"gracias","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}