{"id":4494,"date":"2024-08-28T11:50:19","date_gmt":"2024-08-28T14:50:19","guid":{"rendered":"https:\/\/www.ufrgs.br\/ppgeq\/?page_id=4494"},"modified":"2024-09-05T16:12:23","modified_gmt":"2024-09-05T19:12:23","slug":"eqp0026-otimizacao-de-processos","status":"publish","type":"page","link":"https:\/\/www.ufrgs.br\/ppgeq\/eqp0026-otimizacao-de-processos\/","title":{"rendered":"EQP0026 \u2013 Otimiza\u00e7\u00e3o de Processos"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"4494\" class=\"elementor elementor-4494\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d12fc6f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d12fc6f\" 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-1e3d62c\" data-id=\"1e3d62c\" 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-cd3f896 elementor-widget elementor-widget-text-editor\" data-id=\"cd3f896\" 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<h2><strong>DISCIPLINA<\/strong><\/h2><p>EQP0026 &#8211; Otimiza\u00e7\u00e3o de Processos<\/p><h2>\u00a0<\/h2><h2><strong>N\u00daMERO DE CR\u00c9DITOS<\/strong><\/h2><p>03<\/p><h2>\u00a0<\/h2><h2><strong>MINISTRANTE<\/strong><\/h2><ul><li><p>Prof. Marcelo Farenzena<\/p><\/li><\/ul><h2>\u00a0<\/h2><h2><strong>S\u00daMULA<\/strong><\/h2><p>Fundamentos te\u00f3ricos. Busca univari\u00e1vel e multivari\u00e1vel com e sem restri\u00e7\u00f5es. \u00a0Programa\u00e7\u00e3o linear e n\u00e3o linear. Programa\u00e7\u00e3o mista. Otimiza\u00e7\u00e3o de processos din\u00e2micos: M\u00e9todos variacionais. Algoritmos de otimiza\u00e7\u00e3o e aspectos computacionais. \u00a0Programa\u00e7\u00e3o din\u00e2mica e heur\u00edstica. \u00a0Aplica\u00e7\u00f5es a equipamentos e processos qu\u00edmicos.<\/p><h2>OBJETIVOS<\/h2><p>Capacitar os alunos na compreens\u00e3o e uso das mais diversas t\u00e9cnicas de otimiza\u00e7\u00e3o de processos.<\/p><h2>\u00a0<\/h2><h2>CONTE\u00daDO PROGRAM\u00c1TICO<\/h2><ol><li>Formula\u00e7\u00e3o de Problemas<\/li><\/ol><p>1.1 Aplica\u00e7\u00f5es<\/p><p>1.2 Nomenclatura<\/p><p>1.3 Procedimento geral<\/p><p>1.4 Dificuldades encontradas<\/p><ol start=\"2\"><li>Conceitos B\u00e1sicos<\/li><\/ol><p>2.1 M\u00ednimos e m\u00e1ximos<\/p><p>2.2 Condi\u00e7\u00f5es para otimalidade<\/p><p>2.3 Convexidade<\/p><p>2.4 Formas funcionais<\/p><p>2.5 \u00c1lgebra vetorial<\/p><ol start=\"3\"><li>Otimiza\u00e7\u00e3o Sem Restri\u00e7\u00e3o<\/li><\/ol><p>3.1 M\u00e9todos de busca monovari\u00e1vel e multivari\u00e1vel<\/p><p>3.2 M\u00e9todos anal\u00edticos (m\u00e9trica vari\u00e1vel)<\/p><ol start=\"4\"><li>Programa\u00e7\u00e3o Linear (LP)<\/li><\/ol><p>4.1 Fundamentos<\/p><p>4.2 M\u00e9todo simplex<\/p><p>4.3 M\u00e9todo do ponto interior (Karmarkar)<\/p><ol start=\"5\"><li>Programa\u00e7\u00e3o N\u00e3o Linear (NLP)<\/li><\/ol><p>5.1 Programa\u00e7\u00e3o Quadr\u00e1tica (QP)<\/p><p>5.2 Teoria da dualidade<\/p><p>5.3 Relaxa\u00e7\u00e3o lagrangeana<\/p><p>5.4 Gradientes reduzidos generalizados (GRG)<\/p><p>5.5 Fun\u00e7\u00f5es penalidade<\/p><p>5.6 Programa\u00e7\u00e3o quadr\u00e1tica seq\u00fcencial (SQP)<\/p><p>5.7 Otimiza\u00e7\u00e3o multiobjetivo<\/p><ol start=\"6\"><li>Programa\u00e7\u00e3o Mista<\/li><\/ol><p>6.1 Programa\u00e7\u00e3o din\u00e2mica<\/p><p>6.2 Programa\u00e7\u00e3o mista linear e inteira (MILP)<\/p><p>6.3 Programa\u00e7\u00e3o mista n\u00e3o linear e inteira (MINLP)<\/p><ol start=\"7\"><li>Otimiza\u00e7\u00e3o de Processos Din\u00e2micos<\/li><\/ol><p>7.1 Formula\u00e7\u00e3o da fun\u00e7\u00e3o objetivo e restri\u00e7\u00f5es<\/p><p>7.2 Princ\u00edpio do M\u00ednimo de Pontryagin<\/p><p>7.3 Controle \u00f3timo<\/p><p>\u00a0<\/p><h2><strong>METODOLOGIA<\/strong><\/h2><p>Aulas te\u00f3rico-pr\u00e1ticas em laborat\u00f3rio de computa\u00e7\u00e3o com a participa\u00e7\u00e3o interativa dos alunos, tendo dispon\u00edvel um computador por aluno.<\/p><h2>\u00a0<\/h2><h2><strong>SISTEMA DE AVALIA\u00c7\u00c3O<\/strong><\/h2><p>Avalia\u00e7\u00e3o baseada em trabalhos individuais extra-classe e apresenta\u00e7\u00e3o oral de um trabalho de conclus\u00e3o da disciplina.<\/p><p>\u00a0<\/p><h2><strong>BIBLIOGRAFIA RECOMENDADA<br \/><\/strong><\/h2><ul><li>Optimization of Chemical Processes \u2013 T. F. Edgar &amp; D. M. Himmelblau \u2013 McGraw-Hill, 1988.<\/li><li>Optimization: Theory and Practice \u2013 G. S. G. Beveridge &amp; R. S. Schechter \u2013 McGraw-Hill, 1970.<\/li><li>Applied Nonlinear Programming \u2013 D. M. Himmelblau \u2013 McGraw-Hill, 1972.<\/li><li>Nonlinear and Mixed-Integer Optimization: Fundamentals and Applications \u2013 C.A. Floudas \u2013 Oxford Press, 1995.<\/li><li>Systematic Methods of Chemical Process Design \u2013 L.T. Biegler, I.E. Grossmann, A.W. Westerberg \u2013 Prentice Hall, Inc., 1997.<\/li><li>The Variational Method in Engineering \u2013 R. S. Schechter \u2013 McGraw-Hill, 1967.<\/li><li>Optimierung \u2013 M. Papageorgiou \u2013 Oldenbourg Ed., 1996.<\/li><li>Mathematical Programming. Theory and Algorithms \u2013 M. Minoux \u2013 John Wiley &amp; Sons, 1986.<\/li><li>Programa\u00e7\u00e3o N\u00e3o-Linear. \u00a0Introdu\u00e7\u00e3o \u00e0 Teoria e aos M\u00e9todos \u2013 P. Mahey \u2013 Editora Campus, 1987.<\/li><\/ul>\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>\n\t\t","protected":false},"excerpt":{"rendered":"DISCIPLINA EQP0026 &#8211; Otimiza\u00e7\u00e3o de Processos \u00a0 N\u00daMERO DE CR\u00c9DITOS 03 \u00a0 MINISTRANTE Prof. Marcelo Farenzena \u00a0 S\u00daMULA Fundamentos te\u00f3ricos. Busca univari\u00e1vel e \n<a class=\"moretag\" href=\"https:\/\/www.ufrgs.br\/ppgeq\/eqp0026-otimizacao-de-processos\/\"> <br \/><\/a>","protected":false},"author":10,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[37],"tags":[],"class_list":["post-4494","page","type-page","status-publish","hentry","category-disciplinas"],"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/pages\/4494","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/comments?post=4494"}],"version-history":[{"count":13,"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/pages\/4494\/revisions"}],"predecessor-version":[{"id":4605,"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/pages\/4494\/revisions\/4605"}],"wp:attachment":[{"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/media?parent=4494"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/categories?post=4494"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgeq\/wp-json\/wp\/v2\/tags?post=4494"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}