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Article: Total Dual Integrality in Some Facility Location Problems
Title | Total Dual Integrality in Some Facility Location Problems |
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Authors | |
Keywords | Algorithm Facility location Integral polyhedron Total dual integrality |
Issue Date | 2012 |
Publisher | Society for Industrial and Applied Mathematics. The Journal's web site is located at http://www.siam.org/journals/sidma.php |
Citation | SIAM Journal on Discrete Mathematics, 2012, v. 26 n. 3, p. 1022-1030 How to Cite? |
Abstract | Facility location, arising in a rich variety of applications, has been studied extensively in the fields of operations research and computer science. In this paper we consider the classical uncapacitated facility location problem and its “prize-collecting' variant introduced by Baïou and Barahona, and we show that the linear systems associated with these problems are totally dual integral if and only if the input graphs do not contain a certain type of odd cycles. As corollaries, we get structural characterizations of two min-max relations on facility location. Our results strengthen the integrality theorems on facility location polytopes proved by Baïou and Barahona; our proofs lead to combinatorial polynomial-time algorithms for the facility location problems that we consider. |
Persistent Identifier | http://hdl.handle.net/10722/164175 |
ISSN | 2023 Impact Factor: 0.9 2023 SCImago Journal Rankings: 1.031 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chen, X | - |
dc.contributor.author | Chen, Z | - |
dc.contributor.author | Zang, W | - |
dc.date.accessioned | 2012-09-20T07:56:16Z | - |
dc.date.available | 2012-09-20T07:56:16Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | SIAM Journal on Discrete Mathematics, 2012, v. 26 n. 3, p. 1022-1030 | - |
dc.identifier.issn | 0895-4801 | - |
dc.identifier.uri | http://hdl.handle.net/10722/164175 | - |
dc.description.abstract | Facility location, arising in a rich variety of applications, has been studied extensively in the fields of operations research and computer science. In this paper we consider the classical uncapacitated facility location problem and its “prize-collecting' variant introduced by Baïou and Barahona, and we show that the linear systems associated with these problems are totally dual integral if and only if the input graphs do not contain a certain type of odd cycles. As corollaries, we get structural characterizations of two min-max relations on facility location. Our results strengthen the integrality theorems on facility location polytopes proved by Baïou and Barahona; our proofs lead to combinatorial polynomial-time algorithms for the facility location problems that we consider. | - |
dc.language | eng | - |
dc.publisher | Society for Industrial and Applied Mathematics. The Journal's web site is located at http://www.siam.org/journals/sidma.php | - |
dc.relation.ispartof | SIAM Journal on Discrete Mathematics | - |
dc.rights | © 2012 Society for Industrial and Applied Mathematics. First Published in SIAM Journal on Discrete Mathematics in volume 26, issue 3, published by the Society for Industrial and Applied Mathematics (SIAM). | - |
dc.subject | Algorithm | - |
dc.subject | Facility location | - |
dc.subject | Integral polyhedron | - |
dc.subject | Total dual integrality | - |
dc.title | Total Dual Integrality in Some Facility Location Problems | - |
dc.type | Article | - |
dc.identifier.email | Zang, W: wzang@maths.hku.hk | - |
dc.identifier.authority | Zang, W=rp00839 | - |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1137/090768400 | - |
dc.identifier.scopus | eid_2-s2.0-84867297568 | - |
dc.identifier.hkuros | 205934 | - |
dc.identifier.hkuros | 190484 | - |
dc.identifier.volume | 26 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 1022 | - |
dc.identifier.epage | 1030 | - |
dc.identifier.isi | WOS:000309976400011 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 0895-4801 | - |