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Capacitated p-center problem with failure foresight

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  • Espejo, Inmaculada
  • Marín, Alfredo
  • Rodríguez-Chía, Antonio M.

Abstract

This paper deals with a generalized version of the capacitated p-center problem. The model takes into account the possibility that a center might suffer a disruption (being unavailable to serve some demand) and assumes that every site will be covered by its closest available center. The problem is of interest when the goal is to locate emergency centers while, at the same time, taking precautions against an unforeseen incident (natural disaster, labor strike, accident…) which can cause failure of a center. We consider different formulations for the problem and extensive computational tests are reported, showing the potentials and limits of each formulation in several types of instances. Finally, a preprocessing phase for fixing variables has been developed and different families of valid inequalities have been proposed to strengthen the most promising formulations, obtaining in some cases much better resolution times.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:247:y:2015:i:1:p:229-244
    DOI: 10.1016/j.ejor.2015.05.072
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    References listed on IDEAS

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    Cited by:

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    3. Albareda-Sambola, Maria & Landete, Mercedes & Monge, Juan F. & Sainz-Pardo, José L., 2023. "An exact approach for the reliable fixed-charge location problem with capacity constraints," European Journal of Operational Research, Elsevier, vol. 311(1), pages 24-35.
    4. Acar, Müge & Kaya, Onur, 2019. "A healthcare network design model with mobile hospitals for disaster preparedness: A case study for Istanbul earthquake," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 130(C), pages 273-292.
    5. Zamani, Shokufeh & Arkat, Jamal & Niaki, Seyed Taghi Akhavan, 2022. "Service interruption and customer withdrawal in the congested facility location problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 165(C).
    6. Albareda-Sambola, Maria & Landete, Mercedes & Monge, Juan F. & Sainz-Pardo, José L., 2017. "Introducing capacities in the location of unreliable facilities," European Journal of Operational Research, Elsevier, vol. 259(1), pages 175-188.
    7. 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.

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