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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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    7. 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.
    8. Espejo, Inmaculada & Marín, Alfredo & Rodríguez-Chía, Antonio M., 2012. "Closest assignment constraints in discrete location problems," European Journal of Operational Research, Elsevier, vol. 219(1), pages 49-58.
    9. Oded Berman & Dmitry Krass & Jiamin Wang, 2011. "Stochastic Analysis in Location Research," International Series in Operations Research & Management Science, in: H. A. Eiselt & Vladimir Marianov (ed.), Foundations of Location Analysis, chapter 0, pages 241-271, Springer.
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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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