M|G|∞ queue busy period length with PME distribution analysis through Laplace transform
| Main Author: | |
|---|---|
| Publication Date: | 2018 |
| Format: | Article |
| Language: | eng |
| Source: | Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) |
| Download full: | http://hdl.handle.net/10071/16574 |
Summary: | In this article it is shown that if the busy period of a M|G|∞ queue system is PME distributed, the respective service time is a random variable with a long-tail distribution. The result is obtained through Laplace transforms analysis. |
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M|G|∞ queue busy period length with PME distribution analysis through Laplace transformM| G | ∞Busy periodPME distributionLong-tail distributionLaplace transforIn this article it is shown that if the busy period of a M|G|∞ queue system is PME distributed, the respective service time is a random variable with a long-tail distribution. The result is obtained through Laplace transforms analysis.Universum Research E-Center2018-09-07T10:20:08Z2018-01-01T00:00:00Z20182018-09-07T11:19:54Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10071/16574eng2410-9738Ferreira, M. A. M.info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-07-07T03:56:58Zoai:repositorio.iscte-iul.pt:10071/16574Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T18:35:08.653643Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse |
| dc.title.none.fl_str_mv |
M|G|∞ queue busy period length with PME distribution analysis through Laplace transform |
| title |
M|G|∞ queue busy period length with PME distribution analysis through Laplace transform |
| spellingShingle |
M|G|∞ queue busy period length with PME distribution analysis through Laplace transform Ferreira, M. A. M. M| G | ∞ Busy period PME distribution Long-tail distribution Laplace transfor |
| title_short |
M|G|∞ queue busy period length with PME distribution analysis through Laplace transform |
| title_full |
M|G|∞ queue busy period length with PME distribution analysis through Laplace transform |
| title_fullStr |
M|G|∞ queue busy period length with PME distribution analysis through Laplace transform |
| title_full_unstemmed |
M|G|∞ queue busy period length with PME distribution analysis through Laplace transform |
| title_sort |
M|G|∞ queue busy period length with PME distribution analysis through Laplace transform |
| 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 |
M| G | ∞ Busy period PME distribution Long-tail distribution Laplace transfor |
| topic |
M| G | ∞ Busy period PME distribution Long-tail distribution Laplace transfor |
| description |
In this article it is shown that if the busy period of a M|G|∞ queue system is PME distributed, the respective service time is a random variable with a long-tail distribution. The result is obtained through Laplace transforms analysis. |
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2018 |
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2018-09-07T10:20:08Z 2018-01-01T00:00:00Z 2018 2018-09-07T11:19:54Z |
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info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/article |
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article |
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publishedVersion |
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http://hdl.handle.net/10071/16574 |
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http://hdl.handle.net/10071/16574 |
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eng |
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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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