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An exact algorithm for the multiple-choice multidimensional knapsack problem

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Author Info

  • Mhand Hifi

    ()
    (LaRIA et CERMSEM)

  • Slim Sadfi

    ()
    (LaRIA et CERMSEM)

  • Abdelkader Sbihi

    ()
    (CERMSEM)

Abstract

In this paper, we propose an optimal algorithm for the Multiple-choice Multidimensional Knapsack Problem MMKP. The main principle of the approach is twofold : (i) to generate an initial solution, and (ii) at different levels of the tree search to determine a new upper bound used with a best-first search strategy. The developed method was able to optimally solve the MMKP. The performance of the exact algorithm is evaluated on a set of small and medium instances. This algorithm is parallelizable and it is one of its important feature.

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Bibliographic Info

Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number b04024.

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Length: 16 pages
Date of creation: Mar 2004
Date of revision:
Handle: RePEc:mse:wpsorb:b04024

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Related research

Keywords: Combinatorial optimization; branch and bound; sequential algorithm; Knapsack problem.;

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Cited by:
  1. Sylvain Barde, 2011. "Ignorance is bliss: rationality, information and equilibrium," Sciences Po publications 2011-04, Sciences Po.
  2. Sylvain Barde, 2012. "Back to the future: economic rationality and maximum entropy prediction," Studies in Economics 1202, Department of Economics, University of Kent.
  3. N. Cherfi & M. Hifi, 2010. "A column generation method for the multiple-choice multi-dimensional knapsack problem," Computational Optimization and Applications, Springer, vol. 46(1), pages 51-73, May.

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