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A semidefinite programming approach for solving multiobjective linear programming

dc.creatorBlanco Izquierdo, Víctores
dc.creatorPuerto Albandoz, Justoes
dc.creatorEl-Haj Ben-Ali, Safaees
dc.date.accessioned2016-06-27T09:53:48Z
dc.date.available2016-06-27T09:53:48Z
dc.date.issued2014-03
dc.identifier.citationBlanco Izquierdo, V., Puerto Albandoz, J. y El-Haj Ben-Ali, S. (2014). A semidefinite programming approach for solving multiobjective linear programming. Journal of Global Optimization, 58 (3), 465-480.
dc.identifier.issn0925-5001es
dc.identifier.issn1573-2916es
dc.identifier.urihttp://hdl.handle.net/11441/42760
dc.description.abstractSeveral algorithms are available in the literature for finding the entire set of Pareto-optimal solutions in MultiObjective Linear Programming (MOLP). However, it has not been proposed so far an interior point algorithm that finds all Pareto-optimal solutions of MOLP. We present an explicit construction, based on a transformation of any MOLP into a finite sequence of SemiDefinite Programs (SDP), the solutions of which give the entire set of Pareto-optimal extreme points solutions of MOLP. These SDP problems are solved by interior point methods; thus our approach provides a pseudopolynomial interior point methodology to find the set of Pareto-optimal solutions of MOLP.es
dc.description.sponsorshipJunta de Andalucíaes
dc.description.sponsorshipFondo Europeo de Desarrollo Regionales
dc.description.sponsorshipMinisterio de Ciencia e Innovaciónes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherSpringeres
dc.relation.ispartofJournal of Global Optimization, 58 (3), 465-480.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectmultiobjective linear programminges
dc.subjectsemidefinite programminges
dc.subjectpolynomial optimizationes
dc.subjectmoment problemes
dc.titleA semidefinite programming approach for solving multiobjective linear programminges
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Estadística e Investigación Operativaes
dc.relation.projectIDFQM5849es
dc.relation.projectIDMTM2010-19576-C02-01es
dc.relation.projectIDFQM343es
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s10898-013-0056-z
dc.identifier.doi10.1007/s10898-013-0056-zes
dc.contributor.groupUniversidad de Sevilla. FQM331: Metodos y Modelos de la Estadistica y la Investigacion Operativaes
idus.format.extent13 p.es
dc.journaltitleJournal of Global Optimizationes
dc.publication.volumen58es
dc.publication.issue3es
dc.publication.initialPage465es
dc.publication.endPage480es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/42760

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