Multi-start and path relinking methods to deal with multiobjective knapsack problems

Ricardo Beausoleil (), Gulnara Baldoquin () and Rodolfo Montejo ()

Annals of Operations Research, 2008, vol. 157, issue 1, 105-133

Abstract: This paper deals with a multiobjective combinatorial optimization problem called Extended Knapsack Problem. By applying multi-start search and path relinking we rapidly guide the search toward the most balanced zone of the Pareto-optimal front. The Pareto relation is applied in order to designate a subset of the best generated solutions to be the current efficient set of solutions. The max-min criterion with the Hamming distance is used as a measure of dissimilarity in order to find diverse solutions to be combined. The performance of our approach is compared with several state-of-the-art MOEAs for a suite test problems taken from the literature. Copyright Springer Science+Business Media, LLC 2008

Keywords: Multiple objective metaheuristics; Multi-start methods; Path relinking; Knapsack problems (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10479-007-0199-8

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