{"id":32,"date":"2019-07-29T07:09:11","date_gmt":"2019-07-29T07:09:11","guid":{"rendered":"https:\/\/www.penalara.com\/blog\/?p=32"},"modified":"2025-11-14T12:12:29","modified_gmt":"2025-11-14T12:12:29","slug":"es-posible-el-horario-perfecto","status":"publish","type":"post","link":"https:\/\/www.penalara.com\/blog\/index.php\/2019\/07\/29\/es-posible-el-horario-perfecto\/","title":{"rendered":"\u00bfEs posible el horario perfecto?"},"content":{"rendered":"\n<p>\n<strong>Encajar\nlos horarios<\/strong>\nsemanales de un centro de ense\u00f1anza medianamente grande o complejo\n<strong>no\nes una tarea f\u00e1cil<\/strong>.\nEsto lo saben muy bien quienes se han enfrentado a este problema en\nalguna ocasi\u00f3n y, en mayor medida, quienes tienen la responsabilidad\nde hacerlo cada a\u00f1o; hay que resolver un aut\u00e9ntico rompecabezas.\nPero si es dif\u00edcil encontrar una soluci\u00f3n que satisfaga los\nrequisitos m\u00ednimos, encontrar la mejor soluci\u00f3n parece una tarea\nimposible. Y precisamente esta es la cuesti\u00f3n que planteamos:  <strong>\u00bfEs\nposible hacer horarios perfectos? <\/strong>\n<\/p>\n\n\n\n<p>En\npuridad, y por desgracia, debemos decir que el horario perfecto es\nimposible y existen varias razones para afirmarlo. La primera y m\u00e1s\nevidente es que cualquier modelo para expresar lo que se busca tendr\u00e1\nimperfecciones. Efectivamente, el modelo matem\u00e1tico a trav\u00e9s del\ncual se calcula una funci\u00f3n de peso que permita obtener el horario\n\u00f3ptimo y su aplicaci\u00f3n a los elementos que comprende el horario:\nalumnos, profesores, sesiones lectivas, etc., ser\u00e1 siempre una\naproximaci\u00f3n a la realidad que, en el mejor caso, se estimar\u00e1 de\nforma precisa correspondi\u00e9ndose con lo que se busca.<\/p>\n\n\n\n<p>La\nsegunda raz\u00f3n, y esta no es tan evidente, es que el conjunto de\nsoluciones es tan elevado que la b\u00fasqueda exhaustiva es imposible,\nincluso para el ordenador m\u00e1s r\u00e1pido del mudo. \n<\/p>\n\n\n\n<p>\u00bfRecuerdan\nla paradoja de la leyenda del inventor del ajedrez?<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p> <em>Cuenta la leyenda que un rey persa a quien gust\u00f3 el juego del ajedrez, mand\u00f3 llamar a su inventor para recompensarle por su ingenio. De forma imprudente el rey le dijo que pidiese lo que quisiese y el inventor le contest\u00f3: me conformo con 1 grano de trigo por la primera casilla del tablero, 2 por la segunda, 4 por la tercera, 8 por la cuarta y as\u00ed hasta la casilla 64 del tablero. Es decir la suma de la serie 1+2+4+8&#8230; hasta completar 64 t\u00e9rminos en progresi\u00f3n geom\u00e9trica. El rey se pens\u00f3 que lo que estaba pidiendo era una minucia y mand\u00f3 preparar el premio solicitado pero haciendo los c\u00e1lculos se\u00a0dieron\u00a0cuenta de que era imposible cumplir la orden, pues la suma de los granos de las 64 casillas era nada menos que la cantidad de 36.893.488.147.419.103.231 granos. Si en cada Kilogramo de trigo caben\u00a0aproximadamente unos 25.000 granos, entonces el resultado ser\u00eda de unas 1.475.739.525.896 toneladas. Si el carguero m\u00e1s grande puede alojar hasta 186.000 toneladas netas, har\u00edan falta alrededor de 8 millones de enormes cargueros para transportar todo el trigo. M\u00e1s de 1000 veces la producci\u00f3n mundial anual de trigo.<\/em><\/p>\n<\/blockquote>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/6\/6d\/KnightsTemplarPlayingChess1283.jpg\/512px-KnightsTemplarPlayingChess1283.jpg\" alt=\"\"\/><figcaption class=\"wp-element-caption\">Caballeros templarios jugando al ajedrez<\/figcaption><\/figure>\n\n\n\n<p>Con\nel problema de hacer horarios acad\u00e9micos tambi\u00e9n se da esta\nparadoja; parece que ser\u00eda relativamente f\u00e1cil probar todas las\nposibles soluciones con una computadora pero, de hecho, es imposible.\nLa cuesti\u00f3n es que el n\u00famero de combinaciones crece\nexponencialmente y har\u00edan falta a\u00f1os de c\u00e1lculo, incluso con la\nm\u00e1s potente computadora, para recorrerlas todas. Los procesos que\nresuelven este rompecabezas se estudian a trav\u00e9s de una disciplina\nmatem\u00e1tica y computacional que trata de dar la mejor soluci\u00f3n\nposible, en tiempos razonables, a problemas excesivamente complejos. \n<\/p>\n\n\n\n<p>El Generador de Horarios para Centros de ense\u00f1anza <strong>GHC<\/strong> de Pe\u00f1alara utiliza un software de horarios <strong>capaz de encontrar soluciones y hacerlas \u00f3ptimas<\/strong> de forma extraordinariamente eficaz en lapsos de tiempo suficientemente cortos a\u00fan en los supuestos m\u00e1s complicados. La buena noticia es que este tipo de problemas intratables mediante procesos de b\u00fasqueda exhaustiva se consiguen resolver en gran medida <strong>utilizando algoritmos inteligentes<\/strong>. Podemos afirmar, finalmente, con gran satisfacci\u00f3n y tambi\u00e9n alivio para quienes tienen la responsabilidad de hacer los horarios cada curso, que los <strong>horarios<\/strong> <strong>&#8216;perfectos&#8217;<\/strong>, en la pr\u00e1ctica, <strong>s\u00ed <\/strong>que <strong>son posibles<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Encajar los horarios semanales de un centro de ense\u00f1anza medianamente grande o complejo no es una tarea f\u00e1cil. Esto lo saben muy bien quienes se han enfrentado a este problema en alguna ocasi\u00f3n y, en mayor medida, quienes tienen la responsabilidad de hacerlo cada a\u00f1o; hay que resolver un aut\u00e9ntico rompecabezas. Pero si es dif\u00edcil &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.penalara.com\/blog\/index.php\/2019\/07\/29\/es-posible-el-horario-perfecto\/\" class=\"more-link\">Continuar leyendo<span class=\"screen-reader-text\"> \u00ab\u00bfEs posible el horario perfecto?\u00bb<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[1],"tags":[3,5,2,4],"class_list":["post-32","post","type-post","status-publish","format-standard","hentry","category-sin-categoria","tag-ajedrez","tag-algoritmos","tag-historia","tag-horario"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u00bfEs posible el horario perfecto?<\/title>\n<meta name=\"description\" content=\"Encajar los horarios semanales de un centro de ense\u00f1anza no es una tarea f\u00e1cil. 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