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Emergency relocation of items using single trips: Special cases of the Multiple Knapsack Assignment Problem

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  • Dimitrov, Nedialko B.
  • Solow, Daniel
  • Szmerekovsky, Joseph
  • Guo, Jia

Abstract

The Multiple Knapsack Assignment Problem (MKAP) has been solved successfully using heuristics, but important special cases have not yet been dealt with. Motivated by an emergency relocation problem, an optimal polynomial algorithm and a high performing heuristic that take advantage of the special structure are provided for two special cases of the MKAP.

Suggested Citation

  • Dimitrov, Nedialko B. & Solow, Daniel & Szmerekovsky, Joseph & Guo, Jia, 2017. "Emergency relocation of items using single trips: Special cases of the Multiple Knapsack Assignment Problem," European Journal of Operational Research, Elsevier, vol. 258(3), pages 938-942.
    • Handle: RePEc:eee:ejores:v:258:y:2017:i:3:p:938-942
    DOI: 10.1016/j.ejor.2016.09.004
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    2. Martello, Silvano & Monaci, Michele, 2020. "Algorithmic approaches to the multiple knapsack assignment problem," Omega, Elsevier, vol. 90(C).
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    4. Homsi, Gabriel & Jordan, Jeremy & Martello, Silvano & Monaci, Michele, 2021. "The assignment and loading transportation problem," European Journal of Operational Research, Elsevier, vol. 289(3), pages 999-1007.
    5. Stefka Fidanova & Krassimir Todorov Atanassov, 2021. "ACO with Intuitionistic Fuzzy Pheromone Updating Applied on Multiple-Constraint Knapsack Problem," Mathematics, MDPI, vol. 9(13), pages 1-7, June.

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