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A Segment-Based Formulation and a Matheuristic for the Humanitarian Pickup and Distribution Problem

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  • Ohad Eisenhandler

    (Department of Industrial Engineering, Iby and Aladar Fleischman Faculty of Engineering, Tel Aviv University, Tel Aviv 6997801, Israel)

  • Michal Tzur

    (Department of Industrial Engineering, Iby and Aladar Fleischman Faculty of Engineering, Tel Aviv University, Tel Aviv 6997801, Israel)

Abstract

We present a novel formulation and a matheuristic for a rich humanitarian logistic problem that is motivated by the daily operation of food banks. The problem consists of collecting food donations from suppliers in the food industry and delivering them to food relief agencies that serve individuals in need. This setting requires simultaneous vehicle routing and resource allocation decisions, with the aim of balancing two possibly colliding goals: maximizing the total amount distributed and achieving equity in the allocation. The proposed formulation is based on certain properties satisfied by the optimal solution to the problem and is used within a framework of a broader solution method, which is shown to provide better performance than previously suggested methods. We demonstrate how the new approach can also be extended to the multivehicle counterpart, both with and without time windows.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ortrsc:v:53:y:2019:i:5:p:1389-1408
    DOI: 10.1287/trsc.2019.0916
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    References listed on IDEAS

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    1. Ohad Eisenhandler & Michal Tzur, 2019. "The Humanitarian Pickup and Distribution Problem," Operations Research, INFORMS, vol. 67(1), pages 10-32, January.
    2. E. S. Savas, 1978. "On Equity in Providing Public Services," Management Science, INFORMS, vol. 24(8), pages 800-808, April.
    3. Divya J. Nair & David Rey & Vinayak V. Dixit, 2017. "Fair allocation and cost-effective routing models for food rescue and redistribution," IISE Transactions, Taylor & Francis Journals, vol. 49(12), pages 1172-1188, December.
    4. Gutjahr, Walter J. & Fischer, Sophie, 2018. "Equity and deprivation costs in humanitarian logistics," European Journal of Operational Research, Elsevier, vol. 270(1), pages 185-197.
    5. United Nations UN, 2015. "Transforming our World: the 2030 Agenda for Sustainable Development," Working Papers id:7559, eSocialSciences.
    6. 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.
    7. Irem Sengul Orgut & Julie Ivy & Reha Uzsoy & James R. Wilson, 2016. "Modeling for the equitable and effective distribution of donated food under capacity constraints," IISE Transactions, Taylor & Francis Journals, vol. 48(3), pages 252-266, March.
    8. Gerardo Berbeglia & Jean-François Cordeau & Irina Gribkovskaia & Gilbert Laporte, 2007. "Static pickup and delivery problems: a classification scheme and survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 1-31, July.
    9. Marsh, Michael T. & Schilling, David A., 1994. "Equity measurement in facility location analysis: A review and framework," European Journal of Operational Research, Elsevier, vol. 74(1), pages 1-17, April.
    10. Gerardo Berbeglia & Jean-François Cordeau & Irina Gribkovskaia & Gilbert Laporte, 2007. "Rejoinder on: Static pickup and delivery problems: a classification scheme and survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 45-47, July.
    11. Marvin B. Mandell, 1991. "Modelling Effectiveness-Equity Trade-Offs in Public Service Delivery Systems," Management Science, INFORMS, vol. 37(4), pages 467-482, April.
    12. Erica Gralla & Jarrod Goentzel & Charles Fine, 2014. "Assessing Trade-offs among Multiple Objectives for Humanitarian Aid Delivery Using Expert Preferences," Production and Operations Management, Production and Operations Management Society, vol. 23(6), pages 978-989, June.
    13. Robert W. Lien & Seyed M. R. Iravani & Karen R. Smilowitz, 2014. "Sequential Resource Allocation for Nonprofit Operations," Operations Research, INFORMS, vol. 62(2), pages 301-317, April.
    14. A Ghoniem & C R Scherrer & S Solak, 2013. "A specialized column generation approach for a vehicle routing problem with demand allocation," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(1), pages 114-124, January.
    15. P. Matl & R. F. Hartl & T. Vidal, 2018. "Workload Equity in Vehicle Routing Problems: A Survey and Analysis," Transportation Science, INFORMS, vol. 52(2), pages 239-260, March.
    16. Burcu Balcik & Seyed Iravani & Karen Smilowitz, 2014. "Multi-vehicle sequential resource allocation for a nonprofit distribution system," IISE Transactions, Taylor & Francis Journals, vol. 46(12), pages 1279-1297, December.
    17. 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.
    18. Nair, D.J. & Grzybowska, H. & Fu, Y. & Dixit, V.V., 2018. "Scheduling and routing models for food rescue and delivery operations," Socio-Economic Planning Sciences, Elsevier, vol. 63(C), pages 18-32.
    19. 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.
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    Cited by:

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    2. 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.
    3. Arslan, Okan & Kumcu, Gül Çulhan & Kara, Bahar Yetiş & Laporte, Gilbert, 2021. "The location and location-routing problem for the refugee camp network design," Transportation Research Part B: Methodological, Elsevier, vol. 143(C), pages 201-220.
    4. 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.
    5. Dubey, Nistha & Tanksale, Ajinkya, 2022. "A study of barriers for adoption and growth of food banks in India using hybrid DEMATEL and Analytic Network Process," Socio-Economic Planning Sciences, Elsevier, vol. 79(C).
    6. 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).
    7. 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).
    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. Javier Arturo Orjuela-Castro & Juan Pablo Orejuela-Cabrera & Wilson Adarme-Jaimes, 2022. "Multi-objective model for perishable food logistics networks design considering availability and access," OPSEARCH, Springer;Operational Research Society of India, vol. 59(4), pages 1244-1270, December.

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