Differential equations arising in the M|G|∞ queue transient behavior study

Detalhes bibliográficos
Autor(a) principal: Ferreira, Manuel Alberto M.
Data de Publicação: 2014
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/15608
http://hdl.handle.net/10071/8119
Resumo: In this work, the M|G|∞ queue system transient probabilities, with time origin at the beginning of a busy period, are determined. It is emphasized the obtained distribution mean and variance study as time functions. In this study, for which it is determinant the hazard rate function service time, arise some differential equations which solutions lead to some particular service time distributions for which those parameters present a particular behavior.
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spelling Differential equations arising in the M|G|∞ queue transient behavior studyM|G ∞Transient probabilitiesHazard rate functionDifferential equationsIn this work, the M|G|∞ queue system transient probabilities, with time origin at the beginning of a busy period, are determined. It is emphasized the obtained distribution mean and variance study as time functions. In this study, for which it is determinant the hazard rate function service time, arise some differential equations which solutions lead to some particular service time distributions for which those parameters present a particular behavior.Progress IPS LLC2014-12-12T17:01:03Z2014-01-01T00:00:00Z20142014-12-12T16:59:37Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://ciencia.iscte-iul.pt/public/pub/id/15608http://hdl.handle.net/10071/8119eng2075-4124Ferreira, Manuel Alberto 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:RCAAP2023-11-09T17:49:57Zoai:repositorio.iscte-iul.pt:10071/8119Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:24:35.621884Repositório 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 Differential equations arising in the M|G|∞ queue transient behavior study
title Differential equations arising in the M|G|∞ queue transient behavior study
spellingShingle Differential equations arising in the M|G|∞ queue transient behavior study
Ferreira, Manuel Alberto M.
M|G ∞
Transient probabilities
Hazard rate function
Differential equations
title_short Differential equations arising in the M|G|∞ queue transient behavior study
title_full Differential equations arising in the M|G|∞ queue transient behavior study
title_fullStr Differential equations arising in the M|G|∞ queue transient behavior study
title_full_unstemmed Differential equations arising in the M|G|∞ queue transient behavior study
title_sort Differential equations arising in the M|G|∞ queue transient behavior study
author Ferreira, Manuel Alberto M.
author_facet Ferreira, Manuel Alberto M.
author_role author
dc.contributor.author.fl_str_mv Ferreira, Manuel Alberto M.
dc.subject.por.fl_str_mv M|G ∞
Transient probabilities
Hazard rate function
Differential equations
topic M|G ∞
Transient probabilities
Hazard rate function
Differential equations
description In this work, the M|G|∞ queue system transient probabilities, with time origin at the beginning of a busy period, are determined. It is emphasized the obtained distribution mean and variance study as time functions. In this study, for which it is determinant the hazard rate function service time, arise some differential equations which solutions lead to some particular service time distributions for which those parameters present a particular behavior.
publishDate 2014
dc.date.none.fl_str_mv 2014-12-12T17:01:03Z
2014-01-01T00:00:00Z
2014
2014-12-12T16:59:37Z
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/15608
http://hdl.handle.net/10071/8119
url https://ciencia.iscte-iul.pt/public/pub/id/15608
http://hdl.handle.net/10071/8119
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2075-4124
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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)
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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
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