Connectedness and local search for bicriteria knapsack problems

  • Authors:
  • Arnaud Liefooghe;Luís Paquete;Marco Simões;José R. Figueira

  • Affiliations:
  • Université Lille 1, LIFL - CNRS - INRIA Lille-Nord Europe, France;CISUC, Department of Informatics Engineering, University of Coimbra, Portugal;CISUC, Department of Informatics Engineering, University of Coimbra, Portugal;INPL, École des Mines de Nancy, Laboratoire LORIA, France

  • Venue:
  • EvoCOP'11 Proceedings of the 11th European conference on Evolutionary computation in combinatorial optimization
  • Year:
  • 2011

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Abstract

This article reports an experimental study on a given structural property of connectedness of optimal solutions for two variants of the bicriteria knapsack problem. A local search algorithm that explores this property is then proposed and its performance is compared against exact algorithms in terms of running time and number of optimal solutions found. The experimental results indicate that this simple local search algorithm is able to find a representative set of optimal solutions in most of the cases, and in much less time than exact approaches.