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Optimal algorithms for the α-neighbor p-center problem

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  • Chen, Doron
  • Chen, Reuven

Abstract

Assigning multiple service facilities to demand points is important when demand points are required to withstand service facility failures. Such failures may result from a multitude of causes, ranging from technical difficulties to natural disasters. The α-neighbor p-center problem deals with locating p service facilities. Each demand point is assigned to its nearest α service facilities, thus it is able to withstand up to α−1 service facility failures. The objective is to minimize the maximum distance between a demand point and its αth nearest service facility. We present two optimal algorithms for both the continuous and discrete α-neighbor p-center problem. We present experimental results comparing the performance of the two optimal algorithms for α=2. We also present experimental results showing the performance of the relaxation algorithm for α=1, 2, 3.

Suggested Citation

  • Chen, Doron & Chen, Reuven, 2013. "Optimal algorithms for the α-neighbor p-center problem," European Journal of Operational Research, Elsevier, vol. 225(1), pages 36-43.
  • Handle: RePEc:eee:ejores:v:225:y:2013:i:1:p:36-43
    DOI: 10.1016/j.ejor.2012.09.041
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    References listed on IDEAS

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    Cited by:

    1. Callaghan, Becky & Salhi, Said & Nagy, Gábor, 2017. "Speeding up the optimal method of Drezner for the p-centre problem in the plane," European Journal of Operational Research, Elsevier, vol. 257(3), pages 722-734.

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