The M|M|∞ queue transient probabilities
| Autor(a) principal: | |
|---|---|
| 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/10071/17328 |
Resumo: | In the theory and applications of queuing systems, transient probabilities play a key role. Often, due to the difficulty of their calculation they are replaced by the stationary probabilities. In the case of M|G|∞ systems, those calculations are much friendlier than usual. We present in this work formulas for the transient probabilities of the M|M|∞ system, where are considered service times with exponential distribution, showing that it is also possible to calculate them with initial conditions different from those usually considered. |
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The M|M|∞ queue transient probabilitiesTransient probabilitiesM|M|∞Busy periodExponential distributionIn the theory and applications of queuing systems, transient probabilities play a key role. Often, due to the difficulty of their calculation they are replaced by the stationary probabilities. In the case of M|G|∞ systems, those calculations are much friendlier than usual. We present in this work formulas for the transient probabilities of the M|M|∞ system, where are considered service times with exponential distribution, showing that it is also possible to calculate them with initial conditions different from those usually considered.Universum Research E-Center2019-02-18T10:53:03Z2018-01-01T00:00:00Z20182019-02-18T10:52:05Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10071/17328eng2410-9738Ferreira, 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:RCAAP2023-11-09T17:40:47Zoai:repositorio.iscte-iul.pt:10071/17328Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:18:53.443518Repositório 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 M|M|∞ queue transient probabilities |
| title |
The M|M|∞ queue transient probabilities |
| spellingShingle |
The M|M|∞ queue transient probabilities Ferreira, M. A. M. Transient probabilities M|M|∞ Busy period Exponential distribution |
| title_short |
The M|M|∞ queue transient probabilities |
| title_full |
The M|M|∞ queue transient probabilities |
| title_fullStr |
The M|M|∞ queue transient probabilities |
| title_full_unstemmed |
The M|M|∞ queue transient probabilities |
| title_sort |
The M|M|∞ queue transient probabilities |
| 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 |
Transient probabilities M|M|∞ Busy period Exponential distribution |
| topic |
Transient probabilities M|M|∞ Busy period Exponential distribution |
| description |
In the theory and applications of queuing systems, transient probabilities play a key role. Often, due to the difficulty of their calculation they are replaced by the stationary probabilities. In the case of M|G|∞ systems, those calculations are much friendlier than usual. We present in this work formulas for the transient probabilities of the M|M|∞ system, where are considered service times with exponential distribution, showing that it is also possible to calculate them with initial conditions different from those usually considered. |
| publishDate |
2018 |
| dc.date.none.fl_str_mv |
2018-01-01T00:00:00Z 2018 2019-02-18T10:53:03Z 2019-02-18T10:52:05Z |
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info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
| format |
article |
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publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10071/17328 |
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http://hdl.handle.net/10071/17328 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
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2410-9738 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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Universum Research E-Center |
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Universum Research E-Center |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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