Uma contribuição ao estudo dos métodos de otimização multi-objetivo

• Ano de defesa: 2005
• Autor(a) principal: Oliveira, Lidiane Sartini de
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Uberlândia; BR; Programa de Pós-graduação em Engenharia Mecânica; Engenharias; UFU
• Palavras-chave em Português: Otimização multi-critério; Critério global ponderação dos objetivos; Hierárquico; Negociação; Programação de metas; Min-max; Engenharia mecânica Modelos matemáticos; Otimização matemática; Multicriterion optimization; Weighting objectives; Global criterion; Hierarchical; Trade-off; Goal programming; CNPQ::ENGENHARIAS::ENGENHARIA MECANICA
• Link de acesso: https://repositorio.ufu.br/handle/123456789/14819

In optimization problems, there are many situations in which the users goal is to minimize and or maximize several functions simultaneously, instead of dealing with a single objective function. These functions form a mathematical description of performance criteria, which are usually in conflict with each other. This situation is formulated as a multicriterion optimization problem (also called multi-performance, multiple objective or vector optimization). Multicriterion optimization problems arise various applications in sciences and engineering. There are several criteria that can be used to solve complex optimization problems. This dissertation presents a contribution to the study and comparison multiobjective optimization problems. The classic methods, based on function scalarization in which a vector function is transformed into a scalar function, are represented in the present work by the weighting objectives method and the global criterion method. A different approach is given by the hierarchical, trade-off and goal programming methods, which treats the objective functions as additional constraints. A method based of the min-max approach is also studied. Some multicriterion optimization problems are used to illustrate the methodology developed.