{"id":20397,"date":"2023-07-02T17:03:04","date_gmt":"2023-07-02T15:03:04","guid":{"rendered":"https:\/\/www.ummto.dz\/fs\/?p=20397"},"modified":"2023-07-02T17:07:13","modified_gmt":"2023-07-02T15:07:13","slug":"avis-de-soutenance-de-doctorat-lmd-en-mathematiques-de-mr-azizen-aghiles","status":"publish","type":"post","link":"https:\/\/www.ummto.dz\/fs\/avis-de-soutenance-de-doctorat-lmd-en-mathematiques-de-mr-azizen-aghiles\/","title":{"rendered":"Avis de soutenance de doctorat LMD en Math\u00e9matiques de Mr Azizen Aghiles"},"content":{"rendered":"<p>[et_pb_section fb_built=\u00a0\u00bb1&Prime; _builder_version=\u00a0\u00bb4.21.0&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_row _builder_version=\u00a0\u00bb4.21.0&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb width=\u00a0\u00bb100%\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.20.4&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_accordion open_toggle_text_color=\u00a0\u00bb#E02B20&Prime; _builder_version=\u00a0\u00bb4.21.0&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb toggle_text_color=\u00a0\u00bb#E02B20&Prime; toggle_font=\u00a0\u00bb|700|||||||\u00a0\u00bb toggle_font_size=\u00a0\u00bb26px\u00a0\u00bb width=\u00a0\u00bb100%\u00a0\u00bb hover_enabled=\u00a0\u00bb0&Prime; box_shadow_style=\u00a0\u00bbpreset6&Prime; global_colors_info=\u00a0\u00bb{}\u00a0\u00bb sticky_enabled=\u00a0\u00bb0&Prime;][et_pb_accordion_item title=\u00a0\u00bbAvis de soutenance de Doctorat en Math\u00e9matiques de Mr Azizen Aghiles\u00a0\u00bb _builder_version=\u00a0\u00bb4.21.0&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb hover_enabled=\u00a0\u00bb0&Prime; global_colors_info=\u00a0\u00bb{}\u00a0\u00bb open=\u00a0\u00bbon\u00a0\u00bb sticky_enabled=\u00a0\u00bb0&Prime;]<\/p>\n<p><span style=\"color: #0000ff\"><b>Monsieur Azizen Aghiles<\/b><\/span><\/p>\n<p><b>Soutiendra publiquement sa th\u00e8se de Doctorat 3\u00e8me cycle LMD en Math\u00e9matiques<\/b><\/p>\n<p><b>Intitul\u00e9: \u00ab<strong><span style=\"color: #0000ff\">Optimisation de probl\u00e8mes min-max en programmation lin\u00e9aire<\/span> <\/strong><span style=\"color: #0000ff\">\u00a0<\/span><\/b><span style=\"font-weight: 400\">\u00bb<\/span><\/p>\n<p><b>Le : <span style=\"color: #ff0000\">08 juillet 2023<\/span> \u00e0 la salle de conf\u00e9rences de la Facult\u00e9 des Sciences \u00e0<\/b> <span style=\"color: #ff0000\"><b>09h.<\/b><\/span><\/p>\n<p><b>Directeur de Th\u00e8se\u00a0: <span style=\"color: #0000ff\">Pr. Mohamed AIDENE<\/span><\/b><\/p>\n<p><span style=\"color: #000000\"><b>T\u00e9l\u00e9charger l&rsquo;avis de Soutenance: \u00a0<a href=\"https:\/\/www.ummto.dz\/fs\/wp-content\/uploads\/2023\/07\/Avis-de-Soutenance-de-Azizen-Aghiles.pdf\" rel=\"attachment wp-att-20400\">Avis de Soutenance de Azizen Aghiles<\/a><\/b><\/span><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>[\/et_pb_accordion_item][et_pb_accordion_item title=\u00a0\u00bbR\u00e9sum\u00e9 de la th\u00e8se en Francais\u00a0\u00bb _builder_version=\u00a0\u00bb4.21.0&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb body_font=\u00a0\u00bb|600|||||||\u00a0\u00bb body_text_color=\u00a0\u00bb#000000&Prime; global_colors_info=\u00a0\u00bb{}\u00a0\u00bb open=\u00a0\u00bboff\u00a0\u00bb]<\/p>\n<p style=\"text-align: justify\"><strong>R\u00e9sum\u00e9 :<\/strong> Parmi les probl\u00e8mes de la programmation lin\u00e9aire (PL) on trouve les probl\u00e8mes de min-max qui occupent une place importante, car ils permettent de r\u00e9soudre un grand nombre de probl\u00e8mes d\u2019optimisation, dans divers domaines scientifiques. Dans cette th\u00e8se, on propose un algorithme de r\u00e9solution pour r\u00e9soudre ces types de probl\u00e8mes. Celui ci consiste \u00e0 trouver le maximum du minimum d\u2019une fonction en un temps d\u2019ex\u00e9cution minimum, il est construit \u00e0 partir du principe de la m\u00e9thode adapt\u00e9e, qui est bas\u00e9 sur le concept de la matrice de support du probl\u00e8me.<br \/>Les conditions n\u00e9cessaires et suffisantes de l\u2019optimalit\u00e9 d\u2019une solution r\u00e9alisable de support ont \u00e9t\u00e9 \u00e9tablies et le crit\u00e8re de sub-optimalit\u00e9 a \u00e9t\u00e9 donn\u00e9. Cet algorithme r\u00e9sout directement le probl\u00e8me tel qu\u2019il a \u00e9t\u00e9 pos\u00e9 au d\u00e9part, ce qui nous permet de garder la sp\u00e9cificit\u00e9 du min-max et d\u2019\u00e9viter l\u2019inconv\u00e9nient de l\u2019augmentation du nombre des variables et des contraintes, ceci s\u2019av\u00e8rera important pour la vitesse de convergence de la m\u00e9thode. Ses performances ont \u00e9t\u00e9 test\u00e9s sur des exemples num\u00e9riques.<br \/><strong>Mots cl\u00e9s :<\/strong> programmation lin\u00e9aire, probl\u00e8me min-max, m\u00e9thode adapt\u00e9e, crit\u00e8re de sub-optimalit\u00e9, changement de support, optimisation, solution r\u00e9alisable, crit\u00e8re d\u2019optimalit\u00e9.<\/p>\n<p>[\/et_pb_accordion_item][et_pb_accordion_item title=\u00a0\u00bbR\u00e9sum\u00e9 de la th\u00e8se en Anglais\u00a0\u00bb open=\u00a0\u00bboff\u00a0\u00bb _builder_version=\u00a0\u00bb4.21.0&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb body_font=\u00a0\u00bb|600|||||||\u00a0\u00bb body_text_color=\u00a0\u00bb#000000&Prime; global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<p style=\"text-align: justify\"><strong>Abstract : <\/strong>Min-max problems occupies an important place linear programming\u00a0(LP), as it addresses a large number of optimisation problems, in various fields of\u00a0science. In this thesis, an algorithm using adaptive method is proposed for solving\u00a0the min-max problem in linear programming. It consists on finding the maximum of\u00a0the minimum of a function (where the essential constraints are in equality and the direct constraints are bounded) in a minimum execution time. A solving algorithm is\u00a0built using the principle of the adaptive method and it is based on the concept of the\u00a0support matrix of the problem. Necessary and sufficient conditions for the optimality\u00a0of a support feasible solution are established and suboptimality criterion is derived.<\/p>\n<p style=\"text-align: justify\">This algorithm allows to solve directly the considered problem, without modifying\u00a0it and avoids the drawbacks of the increase in the number of the variables and the\u00a0constraints, thus, improve the convergence speed of the method. Its performance is\u00a0tested on a numerical example.<\/p>\n<p style=\"text-align: justify\"><strong>Keywords :<\/strong> linear programming, min-max problem, adaptive method, suboptimality\u00a0estimate, change of support, optimization, feasible solution, optimality criterion.<\/p>\n<p>[\/et_pb_accordion_item][\/et_pb_accordion][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Monsieur Azizen Aghiles Soutiendra publiquement sa th\u00e8se de Doctorat 3\u00e8me cycle LMD en Math\u00e9matiques Intitul\u00e9: \u00abOptimisation de probl\u00e8mes min-max en programmation lin\u00e9aire \u00a0\u00bb Le : 08 juillet 2023 \u00e0 la salle de conf\u00e9rences de la Facult\u00e9 des Sciences \u00e0 09h. Directeur de Th\u00e8se\u00a0: Pr. Mohamed AIDENE T\u00e9l\u00e9charger l&rsquo;avis de Soutenance: \u00a0Avis de Soutenance de Azizen [&hellip;]<\/p>\n","protected":false},"author":13,"featured_media":6032,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[1,9],"tags":[],"class_list":["post-20397","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-non-classe","category-new_dep_maths"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Avis de soutenance de doctorat LMD en Math\u00e9matiques de Mr Azizen Aghiles - Facult\u00e9 des Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.ummto.dz\/fs\/avis-de-soutenance-de-doctorat-lmd-en-mathematiques-de-mr-azizen-aghiles\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Avis de soutenance de doctorat LMD en Math\u00e9matiques de Mr Azizen Aghiles - Facult\u00e9 des Sciences\" \/>\n<meta property=\"og:description\" content=\"Monsieur Azizen Aghiles Soutiendra publiquement sa th\u00e8se de Doctorat 3\u00e8me cycle LMD en Math\u00e9matiques Intitul\u00e9: \u00abOptimisation de probl\u00e8mes min-max en programmation lin\u00e9aire \u00a0\u00bb Le : 08 juillet 2023 \u00e0 la salle de conf\u00e9rences de la Facult\u00e9 des Sciences \u00e0 09h. 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