MOTGA: A multiobjective Tchebycheff based genetic algorithm for the multidimensional knapsack problem

This paper presents a new multiobjective genetic algorithm based on the Tchebycheff scalarizing function, which aims to generate a good approximation of the nondominated solution set of the multiobjective problem. The algorithm performs several stages, each one intended for searching potentially non...

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Detalhes bibliográficos
Autor principal: Alves, Maria João (author)
Outros Autores: Almeida, Marla (author)
Formato: article
Idioma:eng
Publicado em: 2007
Assuntos:
Texto completo:http://hdl.handle.net/10316/5482
País:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/5482
Descrição
Resumo:This paper presents a new multiobjective genetic algorithm based on the Tchebycheff scalarizing function, which aims to generate a good approximation of the nondominated solution set of the multiobjective problem. The algorithm performs several stages, each one intended for searching potentially nondominated solutions in a different part of the Pareto front. Pre-defined weight vectors act as pivots to define the weighted-Tchebycheff scalarizing functions used in each stage. Therefore, each stage focuses the search on a specific region, leading to an iterative approximation of the entire nondominated set.