M/M/∞ busy period and busy cycle distribution function bounds

Detalhes bibliográficos
Autor(a) principal: Ferreira, Manuel Alberto M.
Data de Publicação: 2013
Outros Autores: Andrade, M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://ciencia.iscte-iul.pt/public/pub/id/8501
http://hdl.handle.net/10071/9818
Resumo: The busy period length distribution function knowledge is important for any queue system, and in particular for the M/M/∞ queue. But the mathematical expressions are in general very complicated, with a few exceptions, involving usually infinite sums and multiple convolutions. So, in this work are deduced some bounds for the M/M/∞ system busy period length distribution function, meaning the second M exponential service time, which analytic expressions are simpler than the exact one. As a consequence, also some bounds for the M/M/∞ system busy cycle length distribution function are presented
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spelling M/M/∞ busy period and busy cycle distribution function boundsBoundsBusy periodDistribution functionM/M/∞The busy period length distribution function knowledge is important for any queue system, and in particular for the M/M/∞ queue. But the mathematical expressions are in general very complicated, with a few exceptions, involving usually infinite sums and multiple convolutions. So, in this work are deduced some bounds for the M/M/∞ system busy period length distribution function, meaning the second M exponential service time, which analytic expressions are simpler than the exact one. As a consequence, also some bounds for the M/M/∞ system busy cycle length distribution function are presentedProgress IPS LLC2015-09-18T14:52:09Z2013-01-01T00:00:00Z20132015-09-18T14:50:32Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://ciencia.iscte-iul.pt/public/pub/id/8501http://hdl.handle.net/10071/9818eng2075-4124Ferreira, Manuel Alberto M.Andrade, M.info:eu-repo/semantics/embargoedAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-09T17:59:49Zoai:repositorio.iscte-iul.pt:10071/9818Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:31:30.290861Repositório 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 M/M/∞ busy period and busy cycle distribution function bounds
title M/M/∞ busy period and busy cycle distribution function bounds
spellingShingle M/M/∞ busy period and busy cycle distribution function bounds
Ferreira, Manuel Alberto M.
Bounds
Busy period
Distribution function
M/M/∞
title_short M/M/∞ busy period and busy cycle distribution function bounds
title_full M/M/∞ busy period and busy cycle distribution function bounds
title_fullStr M/M/∞ busy period and busy cycle distribution function bounds
title_full_unstemmed M/M/∞ busy period and busy cycle distribution function bounds
title_sort M/M/∞ busy period and busy cycle distribution function bounds
author Ferreira, Manuel Alberto M.
author_facet Ferreira, Manuel Alberto M.
Andrade, M.
author_role author
author2 Andrade, M.
author2_role author
dc.contributor.author.fl_str_mv Ferreira, Manuel Alberto M.
Andrade, M.
dc.subject.por.fl_str_mv Bounds
Busy period
Distribution function
M/M/∞
topic Bounds
Busy period
Distribution function
M/M/∞
description The busy period length distribution function knowledge is important for any queue system, and in particular for the M/M/∞ queue. But the mathematical expressions are in general very complicated, with a few exceptions, involving usually infinite sums and multiple convolutions. So, in this work are deduced some bounds for the M/M/∞ system busy period length distribution function, meaning the second M exponential service time, which analytic expressions are simpler than the exact one. As a consequence, also some bounds for the M/M/∞ system busy cycle length distribution function are presented
publishDate 2013
dc.date.none.fl_str_mv 2013-01-01T00:00:00Z
2013
2015-09-18T14:52:09Z
2015-09-18T14:50:32Z
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 https://ciencia.iscte-iul.pt/public/pub/id/8501
http://hdl.handle.net/10071/9818
url https://ciencia.iscte-iul.pt/public/pub/id/8501
http://hdl.handle.net/10071/9818
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2075-4124
dc.rights.driver.fl_str_mv info:eu-repo/semantics/embargoedAccess
eu_rights_str_mv embargoedAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Progress IPS LLC
publisher.none.fl_str_mv Progress IPS LLC
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
instacron:RCAAP
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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