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The probabilistic p-center problem: Planning service for potential customers

Author

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  • Martínez-Merino, Luisa I.
  • Albareda-Sambola, Maria
  • Rodríguez-Chía, Antonio M.

Abstract

This work deals with the probabilistic p-center problem, which aims at minimizing the expected maximum distance between any site with demand and its center, considering that each site has demand with a specific probability. The problem is of interest when emergencies may occur at predefined sites with known probabilities. For this problem we propose and analyze different formulations as well as a Variable Neighborhood Search heuristic. Computational tests are reported, showing the potentials and limits of each formulation, the impact of their enhancements, and the effectiveness of the heuristic.

Suggested Citation

  • Martínez-Merino, Luisa I. & Albareda-Sambola, Maria & Rodríguez-Chía, Antonio M., 2017. "The probabilistic p-center problem: Planning service for potential customers," European Journal of Operational Research, Elsevier, vol. 262(2), pages 509-520.
    • Handle: RePEc:eee:ejores:v:262:y:2017:i:2:p:509-520
    DOI: 10.1016/j.ejor.2017.03.043
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    References listed on IDEAS

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    2. Espejo, Inmaculada & Marín, Alfredo & Rodríguez-Chía, Antonio M., 2015. "Capacitated p-center problem with failure foresight," European Journal of Operational Research, Elsevier, vol. 247(1), pages 229-244.
    3. Mozart Menezes & O. Berman & D. Krass, 2007. "Facility Reliability Issues in Network p-Median Problems: Strategic Centralization and Co-location Effects," Post-Print halshs-00170396, HAL.
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    7. Albareda-Sambola, Maria & Fernández, Elena & Saldanha-da-Gama, Francisco, 2011. "The facility location problem with Bernoulli demands," Omega, Elsevier, vol. 39(3), pages 335-345, June.
    8. Lu, Chung-Cheng, 2013. "Robust weighted vertex p-center model considering uncertain data: An application to emergency management," European Journal of Operational Research, Elsevier, vol. 230(1), pages 113-121.
    9. O’Hanley, Jesse R. & Scaparra, M. Paola & García, Sergio, 2013. "Probability chains: A general linearization technique for modeling reliability in facility location and related problems," European Journal of Operational Research, Elsevier, vol. 230(1), pages 63-75.
    10. Puerto, Justo & Pérez-Brito, Dionisio & García-González, Carlos G., 2014. "A modified variable neighborhood search for the discrete ordered median problem," European Journal of Operational Research, Elsevier, vol. 234(1), pages 61-76.
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    Cited by:

    1. Yılmaz, Seren Bilge & Yücel, Eda, 2021. "Optimizing onboard catering loading locations and plans for airlines," Omega, Elsevier, vol. 99(C).
    2. Luisa I. Martínez-Merino & Diego Ponce & Justo Puerto, 2023. "Constraint relaxation for the discrete ordered median problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(3), pages 538-561, October.

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