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Maximal Covering Location Problems on networks with regional demand

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  • Blanquero, Rafael
  • Carrizosa, Emilio
  • G.-Tóth, Boglárka

Abstract

Covering problems are well studied in the Operations Research literature under the assumption that both the set of users and the set of potential facilities are finite. In this paper, we address the following variant, which leads to a Mixed Integer Nonlinear Program (MINLP): locations of p facilities are sought along the edges of a network so that the expected demand covered is maximized, where demand is continuously distributed along the edges. This MINLP has a combinatorial part (which edges of the network are chosen to contain facilities) and a continuous global optimization part (once the edges are chosen, which are the optimal locations within such edges).

Suggested Citation

  • Blanquero, Rafael & Carrizosa, Emilio & G.-Tóth, Boglárka, 2016. "Maximal Covering Location Problems on networks with regional demand," Omega, Elsevier, vol. 64(C), pages 77-85.
    • Handle: RePEc:eee:jomega:v:64:y:2016:i:c:p:77-85
    DOI: 10.1016/j.omega.2015.11.004
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    References listed on IDEAS

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    Cited by:

    1. Huizhu Wang & Jianqin Zhou & Ling Zhou, 2024. "A Lattice Boltzmann Method-like Algorithm for the Maximal Covering Location Problem on the Complex Network: Application to Location of Railway Emergency-Rescue Spot," Mathematics, MDPI, vol. 12(2), pages 1-20, January.
    2. Blanco, Víctor & Martínez-Antón, Miguel, 2024. "Optimal coverage-based placement of static leak detection devices for pipeline water supply networks," Omega, Elsevier, vol. 122(C).
    3. Wang, Wei & Wu, Shining & Wang, Shuaian & Zhen, Lu & Qu, Xiaobo, 2021. "Emergency facility location problems in logistics: Status and perspectives," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
    4. Huizhu Wang & Jianqin Zhou, 2023. "Location of Railway Emergency Rescue Spots Based on a Near-Full Covering Problem: From a Perspective of Diverse Scenarios," Sustainability, MDPI, vol. 15(8), pages 1-16, April.
    5. Gusev, Vasily V., 2020. "The vertex cover game: Application to transport networks," Omega, Elsevier, vol. 97(C).
    6. Pelegrín, Mercedes & Xu, Liding, 2023. "Continuous covering on networks: Improved mixed integer programming formulations," Omega, Elsevier, vol. 117(C).

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