{"id":38973,"date":"2018-03-09T09:38:49","date_gmt":"2018-03-09T09:38:49","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/optimizacion-binivel-cuasiconcava\/"},"modified":"2018-03-09T09:38:49","modified_gmt":"2018-03-09T09:38:49","slug":"optimizacion-binivel-cuasiconcava","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/optimizacion-binivel-cuasiconcava\/","title":{"rendered":"Optimizacion binivel cuasiconcava."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Gale Pola M. Carmen <\/strong><\/h2>\n<p>La programaci\u00f3n multinivel aparece a principios de los a\u00f1os ochenta como un nuevo modelo de programaci\u00f3n matem\u00e1tica que generaliza la programaci\u00f3n matem\u00e1tica est\u00e1ndar para el tratamiento de sistemas jer\u00e1rquicos. Debido a la complejidad del problema, en la literatura se han considerado, casi de manera exclusiva, problemas de programaci\u00f3n multinivel con s\u00f3lo dos niveles de decisi\u00f3n, denominados problemas de programaci\u00f3n binivel.  en la tesis doctoral se han obtenido resultados relativos al problema de programaci\u00f3n binivel cuasic\u00f3ncavo, analizado por primera vez en la literatura, en el que las funciones objetivo de ambos niveles de decisi\u00f3n son cuasic\u00f3ncavas y la regi\u00f3n de factibilidad definida por el conjunto de restricciones comunes a ambos niveles de decisi\u00f3n es un poliedro.  en primer lugar, se demuestran propiedades geom\u00e9tricas de la regi\u00f3n inducida o regi\u00f3n de factibilidad del primer nivel de decisi\u00f3n: es continua y conexa, est\u00e1 contenida en la frontera del poliedro y est\u00e1 formada por la uni\u00f3n finita de caras propias completas del mismo. Estas propiedades permiten demostrar el resultado principal en relaci\u00f3n con la soluci\u00f3n \u00f3ptima global del problema binivel cuasic\u00f3ncavo cuando se supone que el problema del nivel inferior tiene \u00f3ptimo \u00fanico. Existe un punto extremo del poliedro que es una soluci\u00f3n \u00f3ptima global del problema. Si se relaja la hip\u00f3tesis de \u00f3ptimo \u00fanico en el problema del nivel inferior, bajo hip\u00f3tesis de regularidad adecuadas, se demuestra que una soluci\u00f3n \u00f3ptima local del problema se alcanza en un punto extremo del poliedro original.  en segundo lugar, se han considerado el problema binivel fraccionario y el problema binivel multiplicativo, que son casos particulares del problema binivel cuasic\u00f3ncavo cuyas funciones objetivo aparecen extensamente en la literatura sobre programaci\u00f3n matem\u00e1tica de un nivel. Para estos problemas se particularizan las propiedades obten<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Optimizacion binivel cuasiconcava.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Optimizacion binivel cuasiconcava. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Gale Pola M. Carmen <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Zaragoza<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 15\/12\/1998<\/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>Herminia I. Calvete Fern\u00e1ndez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Miguel San Miguel marco <\/li>\n<li>joaquin Sicilia rodriguez (vocal)<\/li>\n<li>leandro Pardo lorente (vocal)<\/li>\n<li>ram\u00f3n Alvarez-vald\u00e9s olagu\u00edbel (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Gale Pola M. Carmen La programaci\u00f3n multinivel aparece a principios de los a\u00f1os ochenta como un nuevo [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[6264,126,8166,13610],"tags":[100768,28877,28881,100769,28878,27418],"class_list":["post-38973","post","type-post","status-publish","format-standard","hentry","category-investigacion-operativa","category-matematicas","category-programacion-no-lineal","category-zaragoza","tag-gale-pola-m-carmen","tag-herminia-i-calvete-fernandez","tag-joaquin-sicilia-rodriguez","tag-leandro-pardo-lorente","tag-miguel-san-miguel-marco","tag-ramon-alvarez-valdes-olaguibel"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/38973","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=38973"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/38973\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=38973"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=38973"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=38973"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}