Optimal component-type allocation and replacement time policies for parallel systems having multi-types dependent components

In this work, we discuss some challenging open problems and conjectures recently proposed in the literature for parallel systems with dependent components of multiple types. Specifically, we present necessary conditions for the existence of the unique optimal value which minimizes the mean cost rate...

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Detalles Bibliográficos
Autor: Torrado Robles, Nuria
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/704345
Acceso en línea:http://hdl.handle.net/10486/704345
https://dx.doi.org/10.1016/j.ress.2022.108502
Access Level:acceso abierto
Palabra clave:Copulas
Cost functions
Majorization
Optimal components allocation
Preventive maintenance
Replacement policy
Stochastic orderings
Economía
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spelling Optimal component-type allocation and replacement time policies for parallel systems having multi-types dependent componentsTorrado Robles, NuriaCopulasCost functionsMajorizationOptimal components allocationPreventive maintenanceReplacement policyStochastic orderingsEconomíaIn this work, we discuss some challenging open problems and conjectures recently proposed in the literature for parallel systems with dependent components of multiple types. Specifically, we present necessary conditions for the existence of the unique optimal value which minimizes the mean cost rate for two optimization problems. In the first place, the aim is to find the optimal number of components of each type which minimizes the associated mean cost rate, and secondly, to find the optimal replacement time before system failure. In both cases, we consider copulas to model the dependence structure for components whose lifetimes follow any distribution function. Moreover, in order to illustrate the theoretical results, we provide some numerical studies for specific copulas and marginal distribution functionsThis work was partially supported by Ministerio de Ciencia e Innovación of Spain under grant number PID2019-108079GB-C22/AEI/ 10.13039/501100011033ElsevierDepartamento de Análisis Económico: Economía CuantitativaFacultad de Ciencias Económicas y Empresariales20222022-04-04research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/704345https://dx.doi.org/10.1016/j.ress.2022.108502reponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/7043452026-06-23T12:46:27Z
dc.title.none.fl_str_mv Optimal component-type allocation and replacement time policies for parallel systems having multi-types dependent components
title Optimal component-type allocation and replacement time policies for parallel systems having multi-types dependent components
spellingShingle Optimal component-type allocation and replacement time policies for parallel systems having multi-types dependent components
Torrado Robles, Nuria
Copulas
Cost functions
Majorization
Optimal components allocation
Preventive maintenance
Replacement policy
Stochastic orderings
Economía
title_short Optimal component-type allocation and replacement time policies for parallel systems having multi-types dependent components
title_full Optimal component-type allocation and replacement time policies for parallel systems having multi-types dependent components
title_fullStr Optimal component-type allocation and replacement time policies for parallel systems having multi-types dependent components
title_full_unstemmed Optimal component-type allocation and replacement time policies for parallel systems having multi-types dependent components
title_sort Optimal component-type allocation and replacement time policies for parallel systems having multi-types dependent components
dc.creator.none.fl_str_mv Torrado Robles, Nuria
author Torrado Robles, Nuria
author_facet Torrado Robles, Nuria
author_role author
dc.contributor.none.fl_str_mv Departamento de Análisis Económico: Economía Cuantitativa
Facultad de Ciencias Económicas y Empresariales
dc.subject.none.fl_str_mv Copulas
Cost functions
Majorization
Optimal components allocation
Preventive maintenance
Replacement policy
Stochastic orderings
Economía
topic Copulas
Cost functions
Majorization
Optimal components allocation
Preventive maintenance
Replacement policy
Stochastic orderings
Economía
description In this work, we discuss some challenging open problems and conjectures recently proposed in the literature for parallel systems with dependent components of multiple types. Specifically, we present necessary conditions for the existence of the unique optimal value which minimizes the mean cost rate for two optimization problems. In the first place, the aim is to find the optimal number of components of each type which minimizes the associated mean cost rate, and secondly, to find the optimal replacement time before system failure. In both cases, we consider copulas to model the dependence structure for components whose lifetimes follow any distribution function. Moreover, in order to illustrate the theoretical results, we provide some numerical studies for specific copulas and marginal distribution functions
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-04-04
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10486/704345
https://dx.doi.org/10.1016/j.ress.2022.108502
url http://hdl.handle.net/10486/704345
https://dx.doi.org/10.1016/j.ress.2022.108502
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Autónoma de Madrid
instname_str Universidad Autónoma de Madrid
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300724

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