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Modeling for the equitable and effective distribution of food donations under stochastic receiving capacities

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  • Irem Sengul Orgut
  • Julie Ivy
  • Reha Uzsoy

Abstract

We present and analyze stochastic models developed to facilitate the equitable and effective distribution of donated food by a regional food bank among the population at risk for hunger. Since demand typically exceeds the donated food supply, the food bank must distribute donated food in an equitable manner while minimizing food waste, leading to conflicting objectives. Distribution to beneficiaries in the service area is carried out by local charitable agencies, whose receiving capacities are stochastic, since they depend on factors (such as their budget and workforce) that vary significantly over time. We develop a single-period, two-stage stochastic model that ensures equitable distribution of food donations when the distribution decisions are made prior to observing capacities at the receiving locations. Shipment decisions made at the beginning of the period can be corrected at an additional cost after the capacities are observed in the second stage. We prove that this model has a newsvendor-type closed-form optimal solution and illustrate our results using historical data from our collaborating food bank.

Suggested Citation

  • Irem Sengul Orgut & Julie Ivy & Reha Uzsoy, 2017. "Modeling for the equitable and effective distribution of food donations under stochastic receiving capacities," IISE Transactions, Taylor & Francis Journals, vol. 49(6), pages 567-578, June.
    • Handle: RePEc:taf:uiiexx:v:49:y:2017:i:6:p:567-578
    DOI: 10.1080/24725854.2017.1300358
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    Citations

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    Cited by:

    1. Reusken, Meike & Cruijssen, Frans & Fleuren, Hein, 2023. "A food bank supply chain model: Optimizing investments to maximize food assistance," International Journal of Production Economics, Elsevier, vol. 261(C).
    2. Sengul Orgut, Irem & Ivy, Julie S. & Uzsoy, Reha & Hale, Charlie, 2018. "Robust optimization approaches for the equitable and effective distribution of donated food," European Journal of Operational Research, Elsevier, vol. 269(2), pages 516-531.
    3. Akkerman, Renzo & Buisman, Marjolein & Cruijssen, Frans & de Leeuw, Sander & Haijema, Rene, 2023. "Dealing with donations: Supply chain management challenges for food banks," International Journal of Production Economics, Elsevier, vol. 262(C).
    4. Md Hafizul Islam & Julie Simmons Ivy, 2022. "Modeling the role of efficiency for the equitable and effective distribution of donated food," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(2), pages 485-534, June.
    5. Kaitlin M. Daniels & León Valdés, 2021. "Trying and Failing: Biases in Donor Aversion to Rejection," Production and Operations Management, Production and Operations Management Society, vol. 30(12), pages 4356-4373, December.
    6. Sucharitha, Rahul Srinivas & Lee, Seokcheon, 2022. "GMM clustering for in-depth food accessibility pattern exploration and prediction model of food demand behavior," Socio-Economic Planning Sciences, Elsevier, vol. 83(C).
    7. D. G. Mogale & Sri Krishna Kumar & Manoj Kumar Tiwari, 2020. "Green food supply chain design considering risk and post-harvest losses: a case study," Annals of Operations Research, Springer, vol. 295(1), pages 257-284, December.
    8. Yang, Yongjian & Yin, Yunqiang & Wang, Dujuan & Ignatius, Joshua & Cheng, T.C.E. & Dhamotharan, Lalitha, 2023. "Distributionally robust multi-period location-allocation with multiple resources and capacity levels in humanitarian logistics," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1042-1062.
    9. 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.
    10. 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).
    11. Fan, Yu & Wang, Xihui & Zhu, Anqi & Shao, Jianfang & Liang, Liang, 2024. "Measuring the shortage cost through deprivation and envy in collaborating contract between the local authority and the enterprise," International Journal of Production Economics, Elsevier, vol. 271(C).
    12. Jon M. Stauffer & Manoj Vanajakumari & Subodha Kumar & Theresa Mangapora, 2022. "Achieving equitable food security: How can food bank mobile pantries fill this humanitarian need," Production and Operations Management, Production and Operations Management Society, vol. 31(4), pages 1802-1821, April.
    13. 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.
    14. 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.
    15. Esteban Ogazón & Neale R. Smith & Angel Ruiz, 2022. "Reconfiguration of Foodbank Network Logistics to Cope with a Sudden Disaster," Mathematics, MDPI, vol. 10(9), pages 1-20, April.

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