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The reliable p-median problem with at-facility service

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  • Albareda-Sambola, Maria
  • Hinojosa, Yolanda
  • Puerto, Justo

Abstract

This paper deals with a discrete facility location model where service is provided at the facility sites. It is assumed that facilities can fail and customers do not have information on failures before reaching them. As a consequence, they may need to visit more than one facility, following an optimized search scheme, in order to get service. The goal of the problem is to locate p facilities in order to minimize the expected total travel cost. The paper presents two alternative mathematical programming formulations for this problem and proposes a matheuristic based on a network flow model to provide solutions to it. The computational burden of the presented formulations is tested and compared on a test-bed of instances.

Suggested Citation

  • Albareda-Sambola, Maria & Hinojosa, Yolanda & Puerto, Justo, 2015. "The reliable p-median problem with at-facility service," European Journal of Operational Research, Elsevier, vol. 245(3), pages 656-666.
    • Handle: RePEc:eee:ejores:v:245:y:2015:i:3:p:656-666
    DOI: 10.1016/j.ejor.2015.03.049
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    References listed on IDEAS

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    Cited by:

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    3. Hinojosa, Yolanda & Marín, Alfredo & Puerto, Justo, 2023. "Dynamically second-preferred p-center problem," European Journal of Operational Research, Elsevier, vol. 307(1), pages 33-47.
    4. Nader Azad & Elkafi Hassini, 2019. "A Benders Decomposition Method for Designing Reliable Supply Chain Networks Accounting for Multimitigation Strategies and Demand Losses," Transportation Science, INFORMS, vol. 53(5), pages 1287-1312, September.
    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. Blanco, Víctor & Puerto, Justo & Ben-Ali, Safae El-Haj, 2016. "Continuous multifacility ordered median location problems," European Journal of Operational Research, Elsevier, vol. 250(1), pages 56-64.
    7. 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.

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