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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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    4. Li, Xun & Rey, David & Dixit, Vinayak V., 2018. "An axiomatic characterization of fairness in transport networks: Application to road pricing and spatial equity," Transport Policy, Elsevier, vol. 68(C), pages 142-157.
    5. Ohad Eisenhandler & Michal Tzur, 2019. "A Segment-Based Formulation and a Matheuristic for the Humanitarian Pickup and Distribution Problem," Transportation Science, INFORMS, vol. 53(5), pages 1389-1408, September.
    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).
    8. Reusken, Meike & Laporte, Gilbert & Rohmer, Sonja U.K. & Cruijssen, Frans, 2024. "Vehicle routing with stochastic demand, service and waiting times — The case of food bank collection problems," European Journal of Operational Research, Elsevier, vol. 317(1), pages 111-127.
    9. Asghari, Mohammad & Mirzapour Al-e-hashem, S. Mohammad J., 2020. "A green delivery-pickup problem for home hemodialysis machines; sharing economy in distributing scarce resources," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 134(C).
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    11. Filippi, C. & Guastaroba, G. & Speranza, M.G., 2021. "On single-source capacitated facility location with cost and fairness objectives," European Journal of Operational Research, Elsevier, vol. 289(3), pages 959-974.

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