{"id":121936,"date":"2024-06-09T18:57:38","date_gmt":"2024-06-09T18:57:38","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/analisis-y-desarrollo-del-algoritmo-del-elipsoide-interior-para-programacion-lineal-y-su-aplicacion-en-computadores\/"},"modified":"2024-06-09T18:57:38","modified_gmt":"2024-06-09T18:57:38","slug":"analisis-y-desarrollo-del-algoritmo-del-elipsoide-interior-para-programacion-lineal-y-su-aplicacion-en-computadores","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/analisis-y-desarrollo-del-algoritmo-del-elipsoide-interior-para-programacion-lineal-y-su-aplicacion-en-computadores\/","title":{"rendered":"Analisis y desarrollo del algoritmo del elipsoide interior para programacion lineal y su aplicacion en computadores"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Angel Salamanca Fernandez <\/strong><\/h2>\n<p>Se define y analiza un algoritmo original para la resolucion de problemas de programacion lineal. Dado un politopo acotado con interior no vacio y un punto inferior al mismo  se obtiene un elipsoide tambien interior al politopo centrado en el punto. Se desarrolla una formula analitica que conduce a la ecuacion del elipsoide. La optimizacion de la funcion objetivo en dicha figura se reduce a la solucion de un sistema de ecuaciones. Tomando el nuevo punto como centro de otro elipsoide  se define recursivamente un algoritmo de programacion lineal. Se demuestra su convergencia y se analizan aspectos de su aplicacion practica en computador. Se desarrollan tres programas experimentales para contrastarel nuevo algoritmo con el metodo simplex y el algoritmo proyectivo de karmarkar. Se concluye que el metodo propuesto constituye una alternativa interesante al metodo simplex.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Analisis y desarrollo del algoritmo del elipsoide interior para programacion lineal y su aplicacion en computadores<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Analisis y desarrollo del algoritmo del elipsoide interior para programacion lineal y su aplicacion en computadores <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Angel Salamanca Fernandez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1986<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Jos\u00e9 Alberto Ja\u00e9n Gallego<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Eugenio Andr\u00e9s Puente <\/li>\n<li> Figuera Figuera Juan  Ramon (vocal)<\/li>\n<li>Roman Riaza Perez (vocal)<\/li>\n<li> Correas Dobato Jos\u00e9 Manuel (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Angel Salamanca Fernandez Se define y analiza un algoritmo original para la resolucion de problemas de programacion [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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