A study of one class of NLP problems arising in parametric Semi-Infinite Programming

Detalhes bibliográficos
Autor(a) principal: Kostyukova, O. I.
Data de Publicação: 2016
Outros Autores: Tchemisova, Tatiana, Kurdina, Maryia
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/18242
Resumo: The paper deals with a nonlinear programming (NLP) problem that depends on a finite number of integers (parameters). This problem has a special form, and arises as an auxiliary problem in study of solutions' properties of parametric semi-infinite programming (SIP) problems with finitely representable compact index sets. Therefore, it is important to provide a deep study of this NLP problem and its properties w.r.t. the values of the parameters. We are especially interested in the case when optimal solutions of the NLP problem satisfy certain properties due to some specific requirements arising in parametric SIP. We establish the values of the parameters for which optimal solutions of the corresponding NLP problem fulfil the needed properties, and suggest an algorithm that determines the right values of the parameters. An example is proposed to illustrate the application of the algorithm.
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spelling A study of one class of NLP problems arising in parametric Semi-Infinite ProgrammingNonlinear programmingSemi-infinite programmingQuadratic programmingParametric problemsOptimality conditionsThe paper deals with a nonlinear programming (NLP) problem that depends on a finite number of integers (parameters). This problem has a special form, and arises as an auxiliary problem in study of solutions' properties of parametric semi-infinite programming (SIP) problems with finitely representable compact index sets. Therefore, it is important to provide a deep study of this NLP problem and its properties w.r.t. the values of the parameters. We are especially interested in the case when optimal solutions of the NLP problem satisfy certain properties due to some specific requirements arising in parametric SIP. We establish the values of the parameters for which optimal solutions of the corresponding NLP problem fulfil the needed properties, and suggest an algorithm that determines the right values of the parameters. An example is proposed to illustrate the application of the algorithm.Taylor & Francis2017-08-29T09:50:39Z2016-09-29T00:00:00Z2016-09-29info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/18242eng1055-678810.1080/10556788.2016.1233974Kostyukova, O. I.Tchemisova, TatianaKurdina, Maryiainfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-17T03:46:31ZPortal AgregadorONG
dc.title.none.fl_str_mv A study of one class of NLP problems arising in parametric Semi-Infinite Programming
title A study of one class of NLP problems arising in parametric Semi-Infinite Programming
spellingShingle A study of one class of NLP problems arising in parametric Semi-Infinite Programming
Kostyukova, O. I.
Nonlinear programming
Semi-infinite programming
Quadratic programming
Parametric problems
Optimality conditions
title_short A study of one class of NLP problems arising in parametric Semi-Infinite Programming
title_full A study of one class of NLP problems arising in parametric Semi-Infinite Programming
title_fullStr A study of one class of NLP problems arising in parametric Semi-Infinite Programming
title_full_unstemmed A study of one class of NLP problems arising in parametric Semi-Infinite Programming
title_sort A study of one class of NLP problems arising in parametric Semi-Infinite Programming
author Kostyukova, O. I.
author_facet Kostyukova, O. I.
Tchemisova, Tatiana
Kurdina, Maryia
author_role author
author2 Tchemisova, Tatiana
Kurdina, Maryia
author2_role author
author
dc.contributor.author.fl_str_mv Kostyukova, O. I.
Tchemisova, Tatiana
Kurdina, Maryia
dc.subject.por.fl_str_mv Nonlinear programming
Semi-infinite programming
Quadratic programming
Parametric problems
Optimality conditions
topic Nonlinear programming
Semi-infinite programming
Quadratic programming
Parametric problems
Optimality conditions
description The paper deals with a nonlinear programming (NLP) problem that depends on a finite number of integers (parameters). This problem has a special form, and arises as an auxiliary problem in study of solutions' properties of parametric semi-infinite programming (SIP) problems with finitely representable compact index sets. Therefore, it is important to provide a deep study of this NLP problem and its properties w.r.t. the values of the parameters. We are especially interested in the case when optimal solutions of the NLP problem satisfy certain properties due to some specific requirements arising in parametric SIP. We establish the values of the parameters for which optimal solutions of the corresponding NLP problem fulfil the needed properties, and suggest an algorithm that determines the right values of the parameters. An example is proposed to illustrate the application of the algorithm.
publishDate 2016
dc.date.none.fl_str_mv 2016-09-29T00:00:00Z
2016-09-29
2017-08-29T09:50:39Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/18242
url http://hdl.handle.net/10773/18242
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1055-6788
10.1080/10556788.2016.1233974
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv
repository.mail.fl_str_mv
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