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Relief Aid Provision to En Route Refugees: Multi-Period Mobile Facility Location with Mobile Demand

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  • Bayraktar, O. Baturhan
  • Günneç, Dilek
  • Salman, F. Sibel
  • Yücel, Eda

Abstract

Many humanitarian organizations aid en route refugee groups who are on their journey to cross borders using mobile facilities and need to decide the number and routes of the facilities. We define a multi-period facility location problem in which both the facilities and demand are mobile on a network. Refugee groups may enter and exit the network in different periods and follow various paths. In each period, a refugee group moves from one node to an adjacent one in their predetermined path. Each facility should be located at a node in each period and provides service to the refugees at that node. Each refugee should be served at least once in a predetermined number of consecutive periods. The problem is to locate the facilities in each period to minimize the total setup and travel costs of the mobile facilities, while ensuring the service requirement. We call this problem the multi-period mobile facility location problem with mobile demand (MM-FLP-MD) and prove its NP-hardness. We formulate a mixed integer linear programming (MILP) model and develop an adaptive large neighborhood search algorithm (ALNS) to solve large-size instances. We tested the computational performance of the MILP and the metaheuristic algorithm by extracting data from the 2018 Honduras Migration Crisis. For instances solved to optimality by the MILP model, the proposed ALNS determines the optimal solutions faster and provides better solutions for the remaining instances. By analyzing the sensitivity to different parameters, we provide insights to decision-makers.

Suggested Citation

  • Bayraktar, O. Baturhan & Günneç, Dilek & Salman, F. Sibel & Yücel, Eda, 2022. "Relief Aid Provision to En Route Refugees: Multi-Period Mobile Facility Location with Mobile Demand," European Journal of Operational Research, Elsevier, vol. 301(2), pages 708-725.
    • Handle: RePEc:eee:ejores:v:301:y:2022:i:2:p:708-725
    DOI: 10.1016/j.ejor.2021.11.011
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    References listed on IDEAS

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    1. Salman, F. Sibel & Yücel, Eda & Kayı, İlker & Turper-Alışık, Sedef & Coşkun, Abdullah, 2021. "Modeling mobile health service delivery to Syrian migrant farm workers using call record data," Socio-Economic Planning Sciences, Elsevier, vol. 77(C).
    2. Justo Puerto & Antonio M. Rodríguez-Chía, 1999. "Location of a moving service facility," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 49(3), pages 373-393, July.
    3. Doerner, Karl & Focke, Axel & Gutjahr, Walter J., 2007. "Multicriteria tour planning for mobile healthcare facilities in a developing country," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1078-1096, June.
    4. Bélanger, V. & Ruiz, A. & Soriano, P., 2019. "Recent optimization models and trends in location, relocation, and dispatching of emergency medical vehicles," European Journal of Operational Research, Elsevier, vol. 272(1), pages 1-23.
    5. Potvin, Jean-Yves & Rousseau, Jean-Marc, 1993. "A parallel route building algorithm for the vehicle routing and scheduling problem with time windows," European Journal of Operational Research, Elsevier, vol. 66(3), pages 331-340, May.
    6. David Pisinger & Stefan Ropke, 2019. "Large Neighborhood Search," International Series in Operations Research & Management Science, in: Michel Gendreau & Jean-Yves Potvin (ed.), Handbook of Metaheuristics, edition 3, chapter 0, pages 99-127, Springer.
    7. Raghavan, S. & Sahin, Mustafa & Salman, F. Sibel, 2019. "The capacitated mobile facility location problem," European Journal of Operational Research, Elsevier, vol. 277(2), pages 507-520.
    8. John Hodgson, M., 1981. "The location of public facilities intermediate to the journey to work," European Journal of Operational Research, Elsevier, vol. 6(2), pages 199-204, February.
    9. Stefan Nickel & Francisco Saldanha Gama, 2015. "Multi-Period Facility Location," Springer Books, in: Gilbert Laporte & Stefan Nickel & Francisco Saldanha da Gama (ed.), Location Science, edition 127, chapter 0, pages 289-310, Springer.
    10. Stefan Ropke & David Pisinger, 2006. "An Adaptive Large Neighborhood Search Heuristic for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 40(4), pages 455-472, November.
    11. Sterle, Claudio & Sforza, Antonio & Esposito Amideo, Annunziata, 2016. "Multi-period location of flow intercepting portable facilities of an intelligent transportation system," Socio-Economic Planning Sciences, Elsevier, vol. 53(C), pages 4-13.
    12. Russell Halper & S. Raghavan, 2011. "The Mobile Facility Routing Problem," Transportation Science, INFORMS, vol. 45(3), pages 413-434, August.
    13. Oded Berman & Richard C. Larson & Nikoletta Fouska, 1992. "Optimal Location of Discretionary Service Facilities," Transportation Science, INFORMS, vol. 26(3), pages 201-211, August.
    14. Derya Celik Turkoglu & Mujde Erol Genevois, 2020. "A comparative survey of service facility location problems," Annals of Operations Research, Springer, vol. 292(1), pages 399-468, September.
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    Cited by:

    1. 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.
    2. Pashapour, Amirreza & Günneç, Dilek & Salman, F. Sibel & Yücel, Eda, 2024. "Capacitated Mobile Facility Location Problem with Mobile Demand: Efficient Relief Aid Provision to En Route Refugees," Omega, Elsevier, vol. 129(C).
    3. Chenmei Teng & Poshan Yu & Liwen Liu, 2024. "A cooperative optimization model and enhanced algorithm for guided strategies in emergency mobile facilities," Palgrave Communications, Palgrave Macmillan, vol. 11(1), pages 1-11, December.

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