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Exact and heuristic algorithms for finding envy-free allocations in food rescue pickup and delivery logistics

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  • Rey, David
  • Almi’ani, Khaled
  • Nair, Divya J.

Abstract

Food rescue organizations collect and re-distribute surplus perishable food for hunger relief. We propose novel approaches to address this humanitarian logistics challenge and find envy-free allocations of the rescued food together with least travel cost routes. We show that this food rescue and delivery problem is NP-hard and we present a cutting-plane algorithm based on Benders’ decomposition for its exact solution. We introduce a novel heuristic algorithm that combines greedy and local search. We test our approaches using real data from food rescue organizations. Our results show that the proposed algorithms are able to efficiently provide envy-free and cost-effective solutions.

Suggested Citation

  • Rey, David & Almi’ani, Khaled & Nair, Divya J., 2018. "Exact and heuristic algorithms for finding envy-free allocations in food rescue pickup and delivery logistics," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 112(C), pages 19-46.
    • Handle: RePEc:eee:transe:v:112:y:2018:i:c:p:19-46
    DOI: 10.1016/j.tre.2018.02.001
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    6. Tanzid Hasnain & Irem Sengul Orgut & Julie Simmons Ivy, 2021. "Elicitation of Preference among Multiple Criteria in Food Distribution by Food Banks," Production and Operations Management, Production and Operations Management Society, vol. 30(12), pages 4475-4500, December.
    7. Mahmoudi, Monirehalsadat & Shirzad, Khadijeh & Verter, Vedat, 2022. "Decision support models for managing food aid supply chains: A systematic literature review," Socio-Economic Planning Sciences, Elsevier, vol. 82(PB).
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