A Branch Decomposition Algorithm for the p-Median Problem

dc.citation.firstpage474en_US
dc.citation.issueNumber3en_US
dc.citation.journalTitleINFORMS Journal on Computingen_US
dc.citation.lastpage488en_US
dc.citation.volumeNumber29en_US
dc.contributor.authorFast, Caleb C.en_US
dc.contributor.authorHicks, Illya V.en_US
dc.date.accessioned2017-08-01T16:30:10Zen_US
dc.date.available2017-08-01T16:30:10Zen_US
dc.date.issued2017en_US
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.en_US
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.en_US
dc.identifier.digitalPaper_FINALen_US
dc.identifier.doihttps://doi.org/10.1287/ijoc.2016.0743en_US
dc.identifier.urihttps://hdl.handle.net/1911/96011en_US
dc.language.isoengen_US
dc.publisherINFORMSen_US
dc.rightsThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by INFORMS.en_US
dc.subject.keywordFacility Locationen_US
dc.subject.keywordp-Medianen_US
dc.subject.keywordBranch Decompostionen_US
dc.subject.keywordDynamic Programmingen_US
dc.titleA Branch Decomposition Algorithm for the p-Median Problemen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpost-printen_US
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