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Necessary and sufficient conditions for achieving global optimal solutions in multiobjective quadratic fractional optimization problems

dc.creatorAlves de Oliveira, Washingtones
dc.creatorRojas Medar, Marko Antonioes
dc.creatorBeato Moreno, Antonioes
dc.creatorHernández Jiménez, Beatrizes
dc.date.accessioned2022-10-17T10:36:09Z
dc.date.available2022-10-17T10:36:09Z
dc.date.issued2019-04
dc.identifier.citationAlves de Oliveira, W., Rojas Medar, M.A., Beato Moreno, A. y Hernández Jiménez, B. (2019). Necessary and sufficient conditions for achieving global optimal solutions in multiobjective quadratic fractional optimization problems. Journal of global optimization, 74, 233-253. https://doi.org/10.1007/s10898-019-00766-1.
dc.identifier.issn0925-5001es
dc.identifier.issn1573-2916es
dc.identifier.urihttps://hdl.handle.net/11441/137946
dc.description.abstractIf x∗ is a local minimum solution, then there exists a ball of radius r > 0 such that f (x) ≥ f (x∗) for all x ∈ B(x∗,r). The purpose of the current study is to identify the suitable B(x∗,r) of the local optimal solution x∗ for a particular multiobjective optimization problem. We provide a way to calculate the largest radius of the ball centered at local Pareto solution in which this solution is optimal. In this process, we present the necessary and sufficient conditions for achieving a global Pareto optimal solution. The results of this investigation might be useful to determine stopping criteria in the algorithms development.es
dc.formatapplication/pdfes
dc.format.extent21 p.es
dc.language.isoenges
dc.publisherSpringeres
dc.relation.ispartofJournal of global optimization, 74, 233-253.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectPareto optimality conditionses
dc.subjectMultiobjective optimizationes
dc.subjectQuadratic fractional optimization problemses
dc.titleNecessary and sufficient conditions for achieving global optimal solutions in multiobjective quadratic fractional optimization problemses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Estadística e Investigación Operativaes
dc.relation.publisherversionhttps://doi.org/10.1007/s10898-019-00766-1es
dc.identifier.doi10.1007/s10898-019-00766-1es
dc.journaltitleJournal of global optimizationes
dc.publication.volumen74es
dc.publication.initialPage233es
dc.publication.endPage253es

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