Very large-scale neighborhood search for solving multiobjective combinatorial optimization problems

  • Authors:
  • Thibaut Lust;Jacques Teghem;Daniel Tuyttens

  • Affiliations:
  • Faculté Polytechnique de Mons, Laboratory of Mathematics & Operational Research, Mons, Belgium;Faculté Polytechnique de Mons, Laboratory of Mathematics & Operational Research, Mons, Belgium;Faculté Polytechnique de Mons, Laboratory of Mathematics & Operational Research, Mons, Belgium

  • Venue:
  • EMO'11 Proceedings of the 6th international conference on Evolutionary multi-criterion optimization
  • Year:
  • 2011

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Abstract

Very large-scale neighborhood search (VLSNS) is a technique intensively used in single-objective optimization. However, there is almost no study of VLSNS for multiobjective optimization. We show in this paper that this technique is very efficient for the resolution of multiobjective combinatorial optimization problems. Two problems are considered: the multiobjective multidimensional knapsack problem and the multiobjective set covering problem. VLSNS are proposed for these two problems and are integrated into the two-phase Pareto local search. The results obtained on biobjective instances outperform the state-of-the-art results for various indicators.