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Fast, effective heuristics for the 0-1 multi-dimensional knapsack problem

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dc.contributor.author Fleszar K.
dc.contributor.author Hindi K.S.
dc.contributor.editor
dc.date 2009
dc.date.accessioned 2017-09-07T07:51:44Z
dc.date.available 2017-09-07T07:51:44Z
dc.date.issued 2009
dc.identifier 10.1016/j.cor.2008.03.003
dc.identifier.isbn
dc.identifier.issn 03050548
dc.identifier.uri http://hdl.handle.net/10938/12320
dc.description.abstract The objective of the multi-dimensional knapsack problem (MKP) is to find a subset of items with maximum value that satisfies a number of knapsack constraints. Solution methods for MKP, both heuristic and exact, have been researched for several decades. This paper introduces several fast and effective heuristics for MKP that are based on solving the LP relaxation of the problem. Improving procedures are proposed to strengthen the results of these heuristics. Additionally, the heuristics are run with appropriate deterministic or randomly generated constraints imposed on the linear relaxation that allow generating a number of good solutions. All algorithms are tested experimentally on a widely used set of benchmark problem instances to show that they compare favourably with the best-performing heuristics available in the literature. © 2008 Elsevier Ltd. All rights reserved.
dc.format.extent
dc.format.extent Pages: (1602-1607)
dc.language English
dc.publisher OXFORD
dc.relation.ispartof Publication Name: Computers and Operations Research; Publication Year: 2009; Volume: 36; no. 5; Pages: (1602-1607);
dc.relation.ispartofseries
dc.relation.uri
dc.source Scopus
dc.subject.other
dc.title Fast, effective heuristics for the 0-1 multi-dimensional knapsack problem
dc.type Article
dc.contributor.affiliation Fleszar, K., Olayan School of Business, American University of Beirut (AUB), P.O. Box 11-0236, Riad El Solh, Beirut 1107 2020, Lebanon
dc.contributor.affiliation Hindi, K.S., Olayan School of Business, American University of Beirut (AUB), P.O. Box 11-0236, Riad El Solh, Beirut 1107 2020, Lebanon
dc.contributor.authorAddress Fleszar, K.; Olayan School of Business, American University of Beirut (AUB), P.O. Box 11-0236, Riad El Solh, Beirut 1107 2020, Lebanon; email: Krzysztof.Fleszar@aub.edu.lb
dc.contributor.authorCorporate University: American University of Beirut; Faculty: Suliman S. Olayan School of Business; Department: School of Business;
dc.contributor.authorDepartment School of Business
dc.contributor.authorDivision
dc.contributor.authorEmail Krzysztof.Fleszar@aub.edu.lb; Khalil.Hindi@aub.edu.lb
dc.contributor.faculty Suliman S. Olayan School of Business
dc.contributor.authorInitials Fleszar, K
dc.contributor.authorInitials Hindi, KS
dc.contributor.authorOrcidID Fleszar, Krzysztof-0000-0001-8863-6756
dc.contributor.authorReprintAddress Fleszar, K (reprint author), Amer Univ Beirut, Olayan Sch Business, POB 11-0236, Beirut 11072020, Lebanon.
dc.contributor.authorResearcherID Fleszar, Krzysztof-B-8260-2012
dc.contributor.authorUniversity American University of Beirut
dc.description.cited Akcay Y, 2007, ANN OPER RES, V150, P17, DOI 10.1007-s10479-006-0150-4; Bertsimas D, 2002, MANAGE SCI, V48, P550, DOI 10.1287-mnsc.48.4.550.208; Chu PC, 1998, J HEURISTICS, V4, P63, DOI 10.1023-A:1009642405419; DEVRIES S, 2000, COMBINATORIAL AUCTIO; Ferreira C. E., 1993, ZOR, Methods and Models of Operations Research, V38, DOI 10.1007-BF01416008; Freville A, 2005, ANN OPER RES, V139, P195, DOI 10.1007-s10479-005-3448-8; Freville A, 2004, EUR J OPER RES, V155, P1, DOI 10.1016-S0377-2217(03)00274-1; FREVILLE A, 1994, DISCRETE APPL MATH, V49, P189, DOI 10.1016-0166-218X(94)90209-7; GAVISH B, 1985, MATH PROGRAM, V31, P78, DOI 10.1007-BF02591863; GILMORE PC, 1966, OPER RES, V14, P1045, DOI 10.1287-opre.14.6.1045; Hanafi S, 2007, EUR J OPER RES, V179, P50, DOI 10.1016-j.ejor.2006.03.046; Kochenberger G., 1974, DECISION SCI, V5, P36, DOI 10.1111-j.1540-5915.1974.tb00593.x; LOULOU R, 1979, OPER RES, V27, P1101, DOI 10.1287-opre.27.6.1101; MAGAZINE MJ, 1984, EUR J OPER RES, V16, P319, DOI 10.1016-0377-2217(84)90286-8; Osorio MA, 2002, ANN OPER RES, V117, P71, DOI 10.1023-A:1021513321301; Petersen C., 1967, MANAGE SCI, V13, P736, DOI 10.1287-mnsc.13.9.736; PIRKUL H, 1987, NAV RES LOG, V34, P161, DOI 10.1002-1520-6750(198704)34:2161::AID-NAV32203402033.0.CO;2-A; ROTHKOPF MH, 1995, 9509 RUTG U; Senju S., 1968, MANAGE SCI, V15, P196, DOI 10.1287-mnsc.15.4.B196; TOYODA Y, 1975, MANAGE SCI B-APPL, V21, P1417, DOI 10.1287-mnsc.21.12.1417; Vasquez M, 2005, EUR J OPER RES, V165, P70, DOI 10.1016-j.ejor.2004.01.024; VASQUEZ M, 2001, INT JOINT C ART INT, P328; VOLGENANT A, 1990, J OPER RES SOC, V41, P963, DOI 10.1057-jors.1990.148; Volgenant A, 2007, J OPER RES SOC, V58, P73, DOI 10.1057-palgrave.jors.2602102
dc.description.citedCount 14
dc.description.citedTotWOSCount 11
dc.description.citedWOSCount 10
dc.format.extentCount 6
dc.identifier.articleNo
dc.identifier.coden CMORA
dc.identifier.pubmedID
dc.identifier.scopusID 55749107142
dc.identifier.url
dc.publisher.address THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
dc.relation.ispartofConference
dc.relation.ispartofConferenceCode
dc.relation.ispartofConferenceDate
dc.relation.ispartofConferenceHosting
dc.relation.ispartofConferenceLoc
dc.relation.ispartofConferenceSponsor
dc.relation.ispartofConferenceTitle
dc.relation.ispartofFundingAgency
dc.relation.ispartOfISOAbbr Comput. Oper. Res.
dc.relation.ispartOfIssue 5
dc.relation.ispartOfPart
dc.relation.ispartofPubTitle Computers and Operations Research
dc.relation.ispartofPubTitleAbbr Comp. Oper. Res.
dc.relation.ispartOfSpecialIssue
dc.relation.ispartOfSuppl
dc.relation.ispartOfVolume 36
dc.source.ID WOS:000262882500019
dc.type.publication Journal
dc.subject.otherAuthKeyword Heuristics
dc.subject.otherAuthKeyword LP relaxation
dc.subject.otherAuthKeyword Multi-dimensional knapsack problem
dc.subject.otherChemCAS
dc.subject.otherIndex Carbon fiber reinforced plastics
dc.subject.otherIndex Integer programming
dc.subject.otherIndex Solutions
dc.subject.otherIndex Benchmark problems
dc.subject.otherIndex Heuristics
dc.subject.otherIndex Knapsack constraints
dc.subject.otherIndex Knapsack problems
dc.subject.otherIndex Linear relaxations
dc.subject.otherIndex LP relaxation
dc.subject.otherIndex Lp relaxations
dc.subject.otherIndex Maximum values
dc.subject.otherIndex Multi-dimensional
dc.subject.otherIndex Multi-dimensional knapsack problem
dc.subject.otherIndex Solution methods
dc.subject.otherIndex Heuristic methods
dc.subject.otherKeywordPlus ALGORITHM
dc.subject.otherWOS Computer Science, Interdisciplinary Applications
dc.subject.otherWOS Engineering, Industrial
dc.subject.otherWOS Operations Research and Management Science
dc.identifier.doi https://doi.org/10.1016/j.cor.2008.03.003


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