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Heuristics for the multiple knapsack problem with conflicts

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  • Chuda Basnet

Abstract

In this paper we discuss a variant of the 0-1 knapsack problem, where there are multiple knapsacks to fill with items that have profits and sizes associated with them. The objective is to maximise the profit by selecting items to fill the knapsacks within their space constraints. In the version of the problem considered in this paper, some of the items are incompatible with each other, and cannot be placed together in the same knapsack. We apply some newly developed heuristics to the problem and compare the results with those found by a commercial optimisation package. Computational results are presented. The contributions of this paper are an upper bound, and the heuristics developed and tested in this paper.

Suggested Citation

  • Chuda Basnet, 2018. "Heuristics for the multiple knapsack problem with conflicts," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 32(4), pages 514-525.
    • Handle: RePEc:ids:ijores:v:32:y:2018:i:4:p:514-525
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    Cited by:

    1. Mancini, Simona & Triki, Chefi & Piya, Sujan, 2022. "Optimal selection of touristic packages based on user preferences during sports mega-events," European Journal of Operational Research, Elsevier, vol. 302(3), pages 819-830.

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