On local optima in multiobjective combinatorial optimization problems

On local optima in multiobjective combinatorial optimization problems

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Article ID: iaor20084043
Country: Netherlands
Volume: 156
Issue: 1
Start Page Number: 83
End Page Number: 97
Publication Date: Dec 2007
Journal: Annals of Operations Research
Authors: , ,
Keywords: heuristics: local search
Abstract:

In this article, local optimality in multiobjective combinatorial optimization is used as a baseline for the design and analysis of two iterative improvement algorithms. Both algorithms search in a neighborhood that is defined on a collection of sets of feasible solutions and their acceptance criterion is based on outperformance relations. Proofs of the soundness and completeness of these algorithms are given.

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