Optimization problem with interval-valued random functions

This paper proposes optimization with interval-valued random functions as a very natural theoretical tool for posing and solving optimization problems arising in various fields such as oil reservoir exploration and structural design, since the input data for these problems consist of large sets of i...

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Autores:
Puerta Yepes, María Eugenia
Tipo de recurso:
Fecha de publicación:
2012
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
eng
OAI Identifier:
oai:repository.eafit.edu.co:10784/4618
Acceso en línea:
http://hdl.handle.net/10784/4618
Palabra clave:
Random set
Optimization
Intervals
Rights
License
Acceso restringido
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spelling 2014-12-12T15:50:18Z2012-12-102014-12-12T15:50:18Zhttp://hdl.handle.net/10784/4618This paper proposes optimization with interval-valued random functions as a very natural theoretical tool for posing and solving optimization problems arising in various fields such as oil reservoir exploration and structural design, since the input data for these problems consist of large sets of inequalities, obtained by repeating a particular measurement many times. The technique of weighted sums, the Aumann’s integral and properties of interval arithmetic are used to establish necessary and sufficient conditions for the solution of these optimization problems. Moreover, we compare the numerical results obtained by applying the stochastic approach and the interval approach.engUniversidad EAFITGrupo de Investigación Análisis Funcional y AplicacionesUniversidad EAFIT. Escuela de Ciencias y Humanidades. Grupo de Investigación Análisis Funcional y AplicacionesOptimization problem with interval-valued random functionsinfo:eu-repo/semantics/workingPaperworkingPaperDocumento de trabajo de investigacióndrafthttp://purl.org/coar/version/c_b1a7d7d4d402bccehttp://purl.org/coar/resource_type/c_8042Acceso restringidohttp://purl.org/coar/access_right/c_16ecRandom setOptimizationIntervalsPuerta Yepes, María Eugenia11c1f5ea-a0e5-4644-a063-1eedea3c897a-1mpuerta@eafit.edu.coLICENSElicense.txtlicense.txttext/plain; charset=utf-82556https://repository.eafit.edu.co/bitstreams/4cd679e5-b968-480e-9e1a-b5315b89c5b8/download76025f86b095439b7ac65b367055d40cMD51ORIGINALOptimizationProblemWithInterval-valued_2012-12-10.pdfOptimizationProblemWithInterval-valued_2012-12-10.pdfTexto completoapplication/pdf275097https://repository.eafit.edu.co/bitstreams/920c81e4-cfae-4a77-a2c5-08f32584466c/download7b6327fd6b94bce8bfc2416a9f736db1MD5210784/4618oai:repository.eafit.edu.co:10784/46182024-12-04 11:49:37.823restrictedhttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co
dc.title.spa.fl_str_mv Optimization problem with interval-valued random functions
title Optimization problem with interval-valued random functions
spellingShingle Optimization problem with interval-valued random functions
Random set
Optimization
Intervals
title_short Optimization problem with interval-valued random functions
title_full Optimization problem with interval-valued random functions
title_fullStr Optimization problem with interval-valued random functions
title_full_unstemmed Optimization problem with interval-valued random functions
title_sort Optimization problem with interval-valued random functions
dc.creator.fl_str_mv Puerta Yepes, María Eugenia
dc.contributor.author.none.fl_str_mv Puerta Yepes, María Eugenia
dc.subject.keyword.spa.fl_str_mv Random set
Optimization
Intervals
topic Random set
Optimization
Intervals
description This paper proposes optimization with interval-valued random functions as a very natural theoretical tool for posing and solving optimization problems arising in various fields such as oil reservoir exploration and structural design, since the input data for these problems consist of large sets of inequalities, obtained by repeating a particular measurement many times. The technique of weighted sums, the Aumann’s integral and properties of interval arithmetic are used to establish necessary and sufficient conditions for the solution of these optimization problems. Moreover, we compare the numerical results obtained by applying the stochastic approach and the interval approach.
publishDate 2012
dc.date.issued.none.fl_str_mv 2012-12-10
dc.date.available.none.fl_str_mv 2014-12-12T15:50:18Z
dc.date.accessioned.none.fl_str_mv 2014-12-12T15:50:18Z
dc.type.none.fl_str_mv info:eu-repo/semantics/workingPaper
dc.type.eng.fl_str_mv workingPaper
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_b1a7d7d4d402bcce
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_8042
dc.type.local.spa.fl_str_mv Documento de trabajo de investigación
dc.type.hasVersion.spa.fl_str_mv draft
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10784/4618
url http://hdl.handle.net/10784/4618
dc.language.iso.eng.fl_str_mv eng
language eng
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dc.rights.local.spa.fl_str_mv Acceso restringido
rights_invalid_str_mv Acceso restringido
http://purl.org/coar/access_right/c_16ec
dc.publisher.spa.fl_str_mv Universidad EAFIT
dc.publisher.program.spa.fl_str_mv Grupo de Investigación Análisis Funcional y Aplicaciones
dc.publisher.department.spa.fl_str_mv Universidad EAFIT. Escuela de Ciencias y Humanidades. Grupo de Investigación Análisis Funcional y Aplicaciones
institution Universidad EAFIT
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