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Sensitivity analysis of the optimum solution to perturbations of the profit of an item in the multiple-choice knapsack problem

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  • Luay Aljasim
  • Ferhan Al-Maliky

Abstract

Sensitivity analysis of an optimisation problem is the task of studying the stability of a given optimal solution due to the modifications in the parameters data. In this paper, we study the sensitivity analysis for the optimum to the multiple-choice knapsack problem (MCKP), according to the perturbation of the profit of an arbitrary item. We study how much the profit of an arbitrary item in the original problem can vary without changing the optimal solution structure. The range of variations can be represented by the so-called sensitivity intervals that consist of lower and upper values (limits). The obtained results are explained through a simple example. Furthermore, the performance of the proposed methods is evaluated on a set of problem instances.

Suggested Citation

  • Luay Aljasim & Ferhan Al-Maliky, 2024. "Sensitivity analysis of the optimum solution to perturbations of the profit of an item in the multiple-choice knapsack problem," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 28(2), pages 147-162.
    • Handle: RePEc:ids:ijmore:v:28:y:2024:i:2:p:147-162
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