The Laplace transform in the context of some of the queue related probability distributions

Detalhes bibliográficos
Autor(a) principal: Ferreira, M. A. M.
Data de Publicação: 2018
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10071/16667
Resumo: The Laplace transform is a widely used tool in the study of probability distributions, often allowing for a simpler determination of the p.d.f.'s and d.f.'s, and having the possibility to work as a “moments generating function”. In this paper it is considered a situation not so simple, as it is the case of the queue busy period length distribution. Attention will also be given the respective tail Laplace transform. Then, in the context of an open queues network, which nodes behave as queues, the Laplace transform will be used to construct an algorithm to determine the Laplace transform of the global service time length of a customer during their stay on the network distribution.
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spelling The Laplace transform in the context of some of the queue related probability distributionsLaplace transformBusy periodQueues networkAlgorithmThe Laplace transform is a widely used tool in the study of probability distributions, often allowing for a simpler determination of the p.d.f.'s and d.f.'s, and having the possibility to work as a “moments generating function”. In this paper it is considered a situation not so simple, as it is the case of the queue busy period length distribution. Attention will also be given the respective tail Laplace transform. Then, in the context of an open queues network, which nodes behave as queues, the Laplace transform will be used to construct an algorithm to determine the Laplace transform of the global service time length of a customer during their stay on the network distribution.Universum Research E-Center2018-10-15T14:10:02Z2018-01-01T00:00:00Z20182018-10-15T15:09:07Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10071/16667eng2410-9738Ferreira, M. A. M.info: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:RCAAP2023-11-09T17:31:54Zoai:repositorio.iscte-iul.pt:10071/16667Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:14:21.860673Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv The Laplace transform in the context of some of the queue related probability distributions
title The Laplace transform in the context of some of the queue related probability distributions
spellingShingle The Laplace transform in the context of some of the queue related probability distributions
Ferreira, M. A. M.
Laplace transform
Busy period
Queues network
Algorithm
title_short The Laplace transform in the context of some of the queue related probability distributions
title_full The Laplace transform in the context of some of the queue related probability distributions
title_fullStr The Laplace transform in the context of some of the queue related probability distributions
title_full_unstemmed The Laplace transform in the context of some of the queue related probability distributions
title_sort The Laplace transform in the context of some of the queue related probability distributions
author Ferreira, M. A. M.
author_facet Ferreira, M. A. M.
author_role author
dc.contributor.author.fl_str_mv Ferreira, M. A. M.
dc.subject.por.fl_str_mv Laplace transform
Busy period
Queues network
Algorithm
topic Laplace transform
Busy period
Queues network
Algorithm
description The Laplace transform is a widely used tool in the study of probability distributions, often allowing for a simpler determination of the p.d.f.'s and d.f.'s, and having the possibility to work as a “moments generating function”. In this paper it is considered a situation not so simple, as it is the case of the queue busy period length distribution. Attention will also be given the respective tail Laplace transform. Then, in the context of an open queues network, which nodes behave as queues, the Laplace transform will be used to construct an algorithm to determine the Laplace transform of the global service time length of a customer during their stay on the network distribution.
publishDate 2018
dc.date.none.fl_str_mv 2018-10-15T14:10:02Z
2018-01-01T00:00:00Z
2018
2018-10-15T15:09:07Z
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/10071/16667
url http://hdl.handle.net/10071/16667
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2410-9738
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 Universum Research E-Center
publisher.none.fl_str_mv Universum Research E-Center
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
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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 Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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