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Sensitivity analysis of the knapsack sharing problem: perturbation of the weight

Author

Listed:
  • Tarik Belgacem

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Mhand Hifi

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, UPJV - Université de Picardie Jules Verne)

Abstract

In this paper, we study the sensitivity analysis of the optimum of the knapsack sharing problem (KSP) to the perturbation of the weight of an arbitrary item. We determine the interval limits of the weight of each perturbed item using a heuristic approach which reduces the original problem to a series of single knapsackk problems. A perturbed item belongs either to an optimal class, or to a non-optimal class. We evaluate the performance of the proposed heuristic on a set problem instances of the literature. Encouraging results are obtained.

Suggested Citation

  • Tarik Belgacem & Mhand Hifi, 2007. "Sensitivity analysis of the knapsack sharing problem: perturbation of the weight," Post-Print halshs-00188333, HAL.
    • Handle: RePEc:hal:journl:halshs-00188333
    as

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