Novas estratégias de implementação da meta-heurística VNS aplicada na otimização de grade horária
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Data
2019-03-12
Autores
Silva, Odilon Novaes
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Universidade Estadual Paulista (Unesp)
Resumo
Neste projeto de pesquisa, é abordado o problema otimização de grade horária. O tipo de problema de grade horária abordado é aquele que tem o enunciado e a estrutura de dados apresentado no site da Competição Internacional de Otimização do Problema de Grade Horária. Esse problema pode ser modelado como sendo um problema de Programação Linear Binária de grande porte. Entretanto, os solvers comerciais disponíveis, como o CPLEX, não tem a capacidade de encontrar as soluções ótimas das 20 instâncias mostradas no site da Competição Internacional de Otimização do Problema de Grade Horária. Neste trabalho foi desenvolvido um algoritmo VNS especializado para resolver o problema de otimização de grade horária. A parcela inovadora da proposta está relacionado com o uso da lógica de partição para encontrar a melhor solução vizinha da solução corrente de forma eficiente e para uma estrutura de vizinhança complexa e formada por muitos elementos. Dessa forma, a proposta de otimização se tornou muito eficiente na resolução das 20 instâncias cujos dados se encontram no site da Competição Internacional de Otimização do Problema de Grade Horária.
In this research project, we address the optimization timetabling problem. The type of timetabling problem addressed is one that has the statement and data structure displayed on the site of the International Competition of Optimization of the Timetabling Problem. This problem can be modeled as a large Binary Linear Programming Problem. However, the commercial solvers available, such as CPLEX, do not have the ability to nd the optimal solutions from the 20 instances shown on the site of the International Competition of Optimization of the timetabling Problem. In this work a specialized VNS algorithm was developed to solve the optimization of Timetabling Problem . The innovative part of the proposal is related to the use of partition logic to nd the best neighborhood solution of the current solution e ciently and to a structure of complex neighborhood formed by many elements. In this way, the optimization proposal became very e cient in the resolution of the 20 instances whose data were found on the website of the International Competition for Optimization of the Timetabling Problem.
In this research project, we address the optimization timetabling problem. The type of timetabling problem addressed is one that has the statement and data structure displayed on the site of the International Competition of Optimization of the Timetabling Problem. This problem can be modeled as a large Binary Linear Programming Problem. However, the commercial solvers available, such as CPLEX, do not have the ability to nd the optimal solutions from the 20 instances shown on the site of the International Competition of Optimization of the timetabling Problem. In this work a specialized VNS algorithm was developed to solve the optimization of Timetabling Problem . The innovative part of the proposal is related to the use of partition logic to nd the best neighborhood solution of the current solution e ciently and to a structure of complex neighborhood formed by many elements. In this way, the optimization proposal became very e cient in the resolution of the 20 instances whose data were found on the website of the International Competition for Optimization of the Timetabling Problem.
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Problema de otimização de grade horária, Meta-heurísticas, Meta-heurística VNS, Programação linear binária, Otimização de problemas complexos, Timetabling optimization problem, Meta-heuristics, Meta-heuristic VNS, Linear binary programming, Optimization of complex problems