A Branch Decomposition Algorithm for the p-Median Problem

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dc.citation.firstpage474
dc.citation.issueNumber3
dc.citation.journalTitleINFORMS Journal on Computing
dc.citation.lastpage488
dc.citation.volumeNumber29
dc.contributor.authorFast, Caleb C.
dc.contributor.authorHicks, Illya V.
dc.date.accessioned2017-08-01T16:30:10Z
dc.date.available2017-08-01T16:30:10Z
dc.date.issued2017
dc.description.abstractIn this paper, we use a branch decomposition technique to improve approximations to the p-median problem. Starting from a support graph produced either by a combination of heuristics or by linear programming, we use dynamic programming guided by a branch decomposition of that support graph to find the best p-median solution on the support graph. Our results show that when heuristics are used to build the support graph and the support graph has branchwidth at most 7, our algorithm is able to provide a solution of lower cost than any of the heuristic solutions. When linear programming is used to build the support graph and the support graph has branchwidth at most 7, then our algorithm provides better solutions than popular heuristics and is faster than integer programming. Thus, our algorithm is a useful practical tool when support graphs have branchwidth at most 7.
dc.identifier.citationFast, Caleb C. and Hicks, Illya V.. "A Branch Decomposition Algorithm for the p-Median Problem." <i>INFORMS Journal on Computing,</i> 29, no. 3 (2017) INFORMS: 474-488. https://doi.org/10.1287/ijoc.2016.0743.
dc.identifier.digitalPaper_FINAL
dc.identifier.doihttps://doi.org/10.1287/ijoc.2016.0743
dc.identifier.urihttps://hdl.handle.net/1911/96011
dc.language.isoeng
dc.publisherINFORMS
dc.rightsThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by INFORMS.
dc.subject.keywordFacility Location
dc.subject.keywordp-Median
dc.subject.keywordBranch Decompostion
dc.subject.keywordDynamic Programming
dc.titleA Branch Decomposition Algorithm for the p-Median Problem
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpost-print
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