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A primal-dual simplex algorithm for bi-objective network flow problems

dc.contributor.authorEusébio, Augusto
dc.contributor.authorJosé Rui Figueira
dc.contributor.authorMatthias Ehrgott
dc.date.accessioned2025-04-04T15:18:11Z
dc.date.available2025-04-04T15:18:11Z
dc.date.issued2009-10
dc.descriptionMSC classification (2000) 90C29 · 90C35
dc.description.abstractIn this paper we develop a primal–dual simplex algorithm for the bi-objective linear minimum cost network flow problem. This algorithm improves the general primal–dual simplex algorithm for multi-objective linear programs by Ehrgott et al. (J Optim Theory Appl 134:483–497, 2007). We illustrate the algorithm with an example and provide numerical results.eng
dc.identifier.citationEusébio, A., Figueira, J.R. & Ehrgott, M. A primal–dual simplex algorithm for bi-objective network flow problems. 4OR-Q J Oper Res 7, 255–273 (2009). https://doi.org/10.1007/s10288-008-0087-3
dc.identifier.doi10.1007/s10288-008-0087-3
dc.identifier.eissn1614-2411
dc.identifier.issn1619-4500
dc.identifier.urihttp://hdl.handle.net/10400.8/12757
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer
dc.relation.hasversionhttps://link.springer.com/article/10.1007/s10288-008-0087-3
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectMulti-criteria optimization
dc.subjectMulti-objective linear programming
dc.subjectNetwork flow problem
dc.subjectPrimal–dual simplex algorithm
dc.titleA primal-dual simplex algorithm for bi-objective network flow problemseng
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage273
oaire.citation.issue3
oaire.citation.startPage255
oaire.citation.title4OR: A Quarterly Journal of Operations Research
oaire.citation.volume7
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameEusébio
person.givenNameAugusto
person.identifier.orcid0000-0002-6800-2016
person.identifier.scopus-author-id24779439000
relation.isAuthorOfPublicatione1266cbb-dcd0-47d5-92e8-1c345ea5e675
relation.isAuthorOfPublication.latestForDiscoverye1266cbb-dcd0-47d5-92e8-1c345ea5e675

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In this paper we develop a primal–dual simplex algorithm for the bi-objective linear minimum cost network flow problem. This algorithm improves the general primal–dual simplex algorithm for multi-objective linear programs by Ehrgott et al. (J Optim Theory Appl 134:483–497, 2007). We illustrate the algorithm with an example and provide numerical results.
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