Tabu Search Based Procedure for Solving the 0-1 MultiObjective Knapsack Problem: The Two Objectives Case

  • Authors:
  • Xavier Gandibleux;Arnaud Freville

  • Affiliations:
  • LAMIH-ROAD, UMR CNRS 8530, University of Valenciennes, Le Mont Houy, BP 311, F-59304 Valenciennes Cedex, France. gandibleux@univ-valenciennes.fr;LAMIH-ROAD, UMR CNRS 8530, University of Valenciennes, Le Mont Houy, BP 311, F-59304 Valenciennes Cedex, France. freville@univ-valenciennes.fr

  • Venue:
  • Journal of Heuristics
  • Year:
  • 2000

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Abstract

We consider in this paper the solving of 0-1 knapsack problems with multiple linear objectives. We present a tabu search approach to generate a good approximation of the efficient set. The heuristic scheme is included in a redu tion decision space framework. The case of two objectives is developed in this paper. TS principles viewed into the multiobjective context are discussed. According to a prospective way, several variations of the algorithm are investigate. Numerical experiments are reported and compared with available exact efficient solutions. Intuitive justifications for the observed empirical behavior of the procedure and open questions are discussed.