Virtual interpolation of discrete multi-objective programming solutions with probabilistic operation
Autor(a) principal: | |
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Data de Publicação: | 2011 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Sba: Controle & Automação Sociedade Brasileira de Automatica |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592011000400005 |
Resumo: | This work presents a novel framework to address the long term operation of a class of multi-objective programming problems. The proposed approach considers a stochastic operation and evaluates the long term average operating costs/profits. To illustrate the approach, a two-phase method is proposed which solves a prescribed number of K mono-objective problems to identify a set of K points in the Pareto-optimal region. In the second phase, one searches for a set of non-dominated probability distributions that define the probability that the system operates at each point selected in the first phase, at any given operation period. Each probability distribution generates a vector of average long-term objectives and one solves for the Pareto-optimal set with respect to the average objectives. The proposed approach can generate virtual operating points with average objectives that need not have a feasible solution with an equal vector of objectives. A few numerical examples are presented to illustrate the proposed method. |
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Virtual interpolation of discrete multi-objective programming solutions with probabilistic operationPareto-optimalityDynamic operationDiscrete optimizationThis work presents a novel framework to address the long term operation of a class of multi-objective programming problems. The proposed approach considers a stochastic operation and evaluates the long term average operating costs/profits. To illustrate the approach, a two-phase method is proposed which solves a prescribed number of K mono-objective problems to identify a set of K points in the Pareto-optimal region. In the second phase, one searches for a set of non-dominated probability distributions that define the probability that the system operates at each point selected in the first phase, at any given operation period. Each probability distribution generates a vector of average long-term objectives and one solves for the Pareto-optimal set with respect to the average objectives. The proposed approach can generate virtual operating points with average objectives that need not have a feasible solution with an equal vector of objectives. A few numerical examples are presented to illustrate the proposed method.Sociedade Brasileira de Automática2011-08-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592011000400005Sba: Controle & Automação Sociedade Brasileira de Automatica v.22 n.4 2011reponame:Sba: Controle & Automação Sociedade Brasileira de Automaticainstname:Sociedade Brasileira de Automática (SBA)instacron:SBA10.1590/S0103-17592011000400005info:eu-repo/semantics/openAccessSilva,Ricardo C.Arruda,Edilson F.Ourique,Fabrício O.eng2011-09-26T00:00:00Zoai:scielo:S0103-17592011000400005Revistahttps://www.sba.org.br/revista/PUBhttps://old.scielo.br/oai/scielo-oai.php||revista_sba@fee.unicamp.br1807-03450103-1759opendoar:2011-09-26T00:00Sba: Controle & Automação Sociedade Brasileira de Automatica - Sociedade Brasileira de Automática (SBA)false |
dc.title.none.fl_str_mv |
Virtual interpolation of discrete multi-objective programming solutions with probabilistic operation |
title |
Virtual interpolation of discrete multi-objective programming solutions with probabilistic operation |
spellingShingle |
Virtual interpolation of discrete multi-objective programming solutions with probabilistic operation Silva,Ricardo C. Pareto-optimality Dynamic operation Discrete optimization |
title_short |
Virtual interpolation of discrete multi-objective programming solutions with probabilistic operation |
title_full |
Virtual interpolation of discrete multi-objective programming solutions with probabilistic operation |
title_fullStr |
Virtual interpolation of discrete multi-objective programming solutions with probabilistic operation |
title_full_unstemmed |
Virtual interpolation of discrete multi-objective programming solutions with probabilistic operation |
title_sort |
Virtual interpolation of discrete multi-objective programming solutions with probabilistic operation |
author |
Silva,Ricardo C. |
author_facet |
Silva,Ricardo C. Arruda,Edilson F. Ourique,Fabrício O. |
author_role |
author |
author2 |
Arruda,Edilson F. Ourique,Fabrício O. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Silva,Ricardo C. Arruda,Edilson F. Ourique,Fabrício O. |
dc.subject.por.fl_str_mv |
Pareto-optimality Dynamic operation Discrete optimization |
topic |
Pareto-optimality Dynamic operation Discrete optimization |
description |
This work presents a novel framework to address the long term operation of a class of multi-objective programming problems. The proposed approach considers a stochastic operation and evaluates the long term average operating costs/profits. To illustrate the approach, a two-phase method is proposed which solves a prescribed number of K mono-objective problems to identify a set of K points in the Pareto-optimal region. In the second phase, one searches for a set of non-dominated probability distributions that define the probability that the system operates at each point selected in the first phase, at any given operation period. Each probability distribution generates a vector of average long-term objectives and one solves for the Pareto-optimal set with respect to the average objectives. The proposed approach can generate virtual operating points with average objectives that need not have a feasible solution with an equal vector of objectives. A few numerical examples are presented to illustrate the proposed method. |
publishDate |
2011 |
dc.date.none.fl_str_mv |
2011-08-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592011000400005 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592011000400005 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0103-17592011000400005 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Automática |
publisher.none.fl_str_mv |
Sociedade Brasileira de Automática |
dc.source.none.fl_str_mv |
Sba: Controle & Automação Sociedade Brasileira de Automatica v.22 n.4 2011 reponame:Sba: Controle & Automação Sociedade Brasileira de Automatica instname:Sociedade Brasileira de Automática (SBA) instacron:SBA |
instname_str |
Sociedade Brasileira de Automática (SBA) |
instacron_str |
SBA |
institution |
SBA |
reponame_str |
Sba: Controle & Automação Sociedade Brasileira de Automatica |
collection |
Sba: Controle & Automação Sociedade Brasileira de Automatica |
repository.name.fl_str_mv |
Sba: Controle & Automação Sociedade Brasileira de Automatica - Sociedade Brasileira de Automática (SBA) |
repository.mail.fl_str_mv |
||revista_sba@fee.unicamp.br |
_version_ |
1754824565492547584 |