 Optimal algorithms for the α-neighbor p-center problemDoron Chen and Reuven Chen European Journal of Operational Research, 2013, vol. 225, issue 1, 36-43 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. Keywords: α-Neighbor p-center; Continuous optimization; Discrete optimization; Relaxation (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:225:y:2013:i:1:p:36-43 DOI: 10.1016/j.ejor.2012.09.041 Access Statistics for this article European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati More articles in European Journal of Operational Research from Elsevier |
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