Analysis and reliability of separable systems

The operation of a system, such as a vehicle, communication network or automatic process, heavily depends on the correct operation of its components. A Stochastic Binary System (SBS) mathematically models the behavior of on-off systems, where the components are subject to probabilistic failures. Our...

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Автор: Cancela, Héctor (author)
Інші автори: Guerberoff, Gustavo (author), Robledo, Franco (author), Romero, Pablo (author)
Формат: article
Мова:Англійська
Опубліковано: 2021
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Онлайн доступ:https://hdl.handle.net/20.500.12381/644
https://doi.org/10.1016/j.orp.2021.100199
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author Cancela, Héctor
author2 Guerberoff, Gustavo
Robledo, Franco
Romero, Pablo
author2_role author
author
author
author_browse Cancela, Héctor
Guerberoff, Gustavo
Robledo, Franco
Romero, Pablo
author_facet Cancela, Héctor
Guerberoff, Gustavo
Robledo, Franco
Romero, Pablo
author_role author
collection REDI
dc.creator.none.fl_str_mv Cancela, Héctor
Guerberoff, Gustavo
Robledo, Franco
Romero, Pablo
dc.date.none.fl_str_mv 2021-09-05
2022-10-17T13:28:28Z
2022-10-17T13:28:28Z
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.12381/644
FCE_1_2019_1_156693
https://doi.org/10.1016/j.orp.2021.100199
dc.language.none.fl_str_mv eng
dc.publisher.none.fl_str_mv Elsevier
dc.rights.none.fl_str_mv Acceso abierto
info:eu-repo/semantics/openAccess
Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional. (CC BY-NC-ND)
dc.source.none.fl_str_mv Operations Research Perspectives
reponame:REDI
instname:Agencia Nacional de Investigación e Innovación
instacron:Agencia Nacional de Investigación e Innovación
dc.subject.none.fl_str_mv Stochastic binary system
Network reliability
Computational complexity
Separable systems
Mathematical programming
Ciencias Naturales y Exactas
Ciencias de la Computación e Información
dc.title.none.fl_str_mv Analysis and reliability of separable systems
dc.type.none.fl_str_mv Artículo
info:eu-repo/semantics/article
Publicado
info:eu-repo/semantics/publishedVersion
description The operation of a system, such as a vehicle, communication network or automatic process, heavily depends on the correct operation of its components. A Stochastic Binary System (SBS) mathematically models the behavior of on-off systems, where the components are subject to probabilistic failures. Our goal is to understand the reliability of the global system.The reliability evaluation of an SBS belongs to the class of NP-Hard problems, and the combinatorics of SBS imposes several challenges. In a previous work by the same authors, a special sub-class of SBSs called separable systems was introduced. These systems accept an efficient representation by a linear inequality on the binary states of the components. However, the reliability evaluation of separable systems is still hard. A theoretical contribution in the understanding of separable systems is given. We fully characterize separable systems under the all-terminal reliability model, finding that they admit efficient reliability evaluation in this relevant context.
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publishDate 2021
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rights_invalid_str_mv Acceso abierto
Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional. (CC BY-NC-ND)
spelling Analysis and reliability of separable systemsCancela, HéctorGuerberoff, GustavoRobledo, FrancoRomero, PabloStochastic binary systemNetwork reliabilityComputational complexitySeparable systemsMathematical programmingCiencias Naturales y ExactasCiencias de la Computación e InformaciónThe operation of a system, such as a vehicle, communication network or automatic process, heavily depends on the correct operation of its components. A Stochastic Binary System (SBS) mathematically models the behavior of on-off systems, where the components are subject to probabilistic failures. Our goal is to understand the reliability of the global system.The reliability evaluation of an SBS belongs to the class of NP-Hard problems, and the combinatorics of SBS imposes several challenges. In a previous work by the same authors, a special sub-class of SBSs called separable systems was introduced. These systems accept an efficient representation by a linear inequality on the binary states of the components. However, the reliability evaluation of separable systems is still hard. A theoretical contribution in the understanding of separable systems is given. We fully characterize separable systems under the all-terminal reliability model, finding that they admit efficient reliability evaluation in this relevant context.Math-AMSUDAgencia Nacional de Investigación e InnovaciónUniversidad de la República - Comisión Sectorial de Investigación CientíficaElsevier2022-10-17T13:28:28Z2022-10-17T13:28:28Z2021-09-05Artículoinfo:eu-repo/semantics/articlePublicadoinfo:eu-repo/semantics/publishedVersionhttps://hdl.handle.net/20.500.12381/644FCE_1_2019_1_156693https://doi.org/10.1016/j.orp.2021.100199Operations Research Perspectivesreponame:REDIinstname:Agencia Nacional de Investigación e Innovacióninstacron:Agencia Nacional de Investigación e InnovaciónengAcceso abiertoinfo:eu-repo/semantics/openAccessReconocimiento-NoComercial-SinObraDerivada 4.0 Internacional. (CC BY-NC-ND)oai:redi.anii.org.uy:20.500.12381/6442026-06-16T05:02:24Z
spellingShingle Analysis and reliability of separable systems
Cancela, Héctor
Stochastic binary system
Network reliability
Computational complexity
Separable systems
Mathematical programming
Ciencias Naturales y Exactas
Ciencias de la Computación e Información
status_str publishedVersion
title Analysis and reliability of separable systems
title_full Analysis and reliability of separable systems
title_fullStr Analysis and reliability of separable systems
title_full_unstemmed Analysis and reliability of separable systems
title_short Analysis and reliability of separable systems
title_sort Analysis and reliability of separable systems
topic Stochastic binary system
Network reliability
Computational complexity
Separable systems
Mathematical programming
Ciencias Naturales y Exactas
Ciencias de la Computación e Información
url https://hdl.handle.net/20.500.12381/644
https://doi.org/10.1016/j.orp.2021.100199