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Efficient Algorithms for the Knapsack Sharing Problem

Author

Listed:
  • Hifi, M.
  • Sadfi, S.
  • Sbihi, A.

Abstract

In this paper, we propose two efficient algorithms in order to approximately solve the Knapsack Sharing Problem (KSP). In KSP, we have a knapsack of capicity c and a set of n objects, where each object j, j=1,...,n, is associated with a profit pj and a weight wj. The set of objects is divided into m different classes of objects and, the aim is to determine a subset of objects to be included in the knapsack which realizes a max-min value over all classes.

Suggested Citation

  • Hifi, M. & Sadfi, S. & Sbihi, A., 2000. "Efficient Algorithms for the Knapsack Sharing Problem," Papiers d'Economie Mathématique et Applications 2000.122, Université Panthéon-Sorbonne (Paris 1).
    • Handle: RePEc:fth:pariem:2000.122
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    Citations

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    Cited by:

    1. Sbihi, Abdelkader, 2010. "A cooperative local search-based algorithm for the Multiple-Scenario Max-Min Knapsack Problem," European Journal of Operational Research, Elsevier, vol. 202(2), pages 339-346, April.
    2. Isma Dahmani & Mhand Hifi, 2021. "A modified descent method-based heuristic for binary quadratic knapsack problems with conflict graphs," Annals of Operations Research, Springer, vol. 298(1), pages 125-147, March.

    More about this item

    Keywords

    EFFICIENCY ; PROFIT ; BEHAVIOUR;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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