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The location and location-routing problem for the refugee camp network design

Author

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  • Arslan, Okan
  • Kumcu, Gül Çulhan
  • Kara, Bahar Yetiş
  • Laporte, Gilbert

Abstract

The refugee crisis is one of the major challenges of modern society. The influxes of refugees are usually sudden and the refugees are in sheer need of services such as health care, education and safety. Planning public services under an imminent humanitarian crisis requires simultaneous strategic and operational decisions. Inspired by a real-world problem that Red Crescent is facing in Southeast Turkey, we study the problem of locating refugee camps and planning transportation of public service providers from their institutions to the located camps. Our modeling approach brings a new facet to the location and routing problem by considering the location of beneficiaries as variables. We develop a branch-price-and-cut algorithm for the problem. To solve the pricing problem, we introduce a cycle-eliminating algorithm using nested recursion to generate elementary hop constrained shortest paths. The best version of our algorithm efficiently solves 244-node real-world instances optimally.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:143:y:2021:i:c:p:201-220
    DOI: 10.1016/j.trb.2020.11.010
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    Cited by:

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    2. Huang, Sen & Liu, Kanglin & Zhang, Zhi-Hai, 2023. "Column-and-constraint-generation-based approach to a robust reverse logistic network design for bike sharing," Transportation Research Part B: Methodological, Elsevier, vol. 173(C), pages 90-118.
    3. Liu, Baoli & Li, Zhi-Chun & Wang, Yadong, 2023. "A branch-and-price heuristic algorithm for the bunkering operation problem of a liquefied natural gas bunkering station in the inland waterways," Transportation Research Part B: Methodological, Elsevier, vol. 167(C), pages 145-170.
    4. Han, Jialin & Zhang, Jiaxiang & Guo, Haoyue & Zhang, Ning, 2024. "Optimizing location-routing and demand allocation in the household waste collection system using a branch-and-price algorithm," European Journal of Operational Research, Elsevier, vol. 316(3), pages 958-975.
    5. Arslan, Okan, 2021. "The location-or-routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 147(C), pages 1-21.
    6. He, Xiaozhou & Wang, Qingyi, 2023. "A location-routing model for free-floating shared bike collection considering manual gathering and truck transportation," Socio-Economic Planning Sciences, Elsevier, vol. 88(C).
    7. Li, Jiliu & Xu, Min & Sun, Peng, 2022. "Two-echelon capacitated vehicle routing problem with grouping constraints and simultaneous pickup and delivery," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 261-291.

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