Chebyshev's inequality application in queues domain tail distributions upper bound calculation

Bibliographic Details
Main Author: Ferreira, Manuel Alberto M.
Publication Date: 2014
Format: Article
Language: eng
Source: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Download full: https://ciencia.iscte-iul.pt/public/pub/id/12348
http://hdl.handle.net/10071/8120
Summary: In the countless queues applications, and related quantities, the distribution functions are of great importance. This is because only they allow the interesting probabilities determination. Often practical expressions are difficult to obtain. In this work two situations for which upper bounds tail distributions are obtained, through Chebyshev’s inequality, are presented.
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spelling Chebyshev's inequality application in queues domain tail distributions upper bound calculationChebyshev's inequalityM|G|∞M|M|1Bbusy periodSojourn timeIn the countless queues applications, and related quantities, the distribution functions are of great importance. This is because only they allow the interesting probabilities determination. Often practical expressions are difficult to obtain. In this work two situations for which upper bounds tail distributions are obtained, through Chebyshev’s inequality, are presented.Progress IPS LLC2014-12-12T17:08:22Z2014-01-01T00:00:00Z20142014-12-12T17:07:23Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://ciencia.iscte-iul.pt/public/pub/id/12348http://hdl.handle.net/10071/8120eng2075-4124Ferreira, 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:RCAAP2023-11-09T17:55:26Zoai:repositorio.iscte-iul.pt:10071/8120Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:28:12.949972Repositório 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 Chebyshev's inequality application in queues domain tail distributions upper bound calculation
title Chebyshev's inequality application in queues domain tail distributions upper bound calculation
spellingShingle Chebyshev's inequality application in queues domain tail distributions upper bound calculation
Ferreira, Manuel Alberto M.
Chebyshev's inequality
M|G|∞
M|M|1
Bbusy period
Sojourn time
title_short Chebyshev's inequality application in queues domain tail distributions upper bound calculation
title_full Chebyshev's inequality application in queues domain tail distributions upper bound calculation
title_fullStr Chebyshev's inequality application in queues domain tail distributions upper bound calculation
title_full_unstemmed Chebyshev's inequality application in queues domain tail distributions upper bound calculation
title_sort Chebyshev's inequality application in queues domain tail distributions upper bound calculation
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 Chebyshev's inequality
M|G|∞
M|M|1
Bbusy period
Sojourn time
topic Chebyshev's inequality
M|G|∞
M|M|1
Bbusy period
Sojourn time
description In the countless queues applications, and related quantities, the distribution functions are of great importance. This is because only they allow the interesting probabilities determination. Often practical expressions are difficult to obtain. In this work two situations for which upper bounds tail distributions are obtained, through Chebyshev’s inequality, are presented.
publishDate 2014
dc.date.none.fl_str_mv 2014-12-12T17:08:22Z
2014-01-01T00:00:00Z
2014
2014-12-12T17:07:23Z
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/12348
http://hdl.handle.net/10071/8120
url https://ciencia.iscte-iul.pt/public/pub/id/12348
http://hdl.handle.net/10071/8120
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)
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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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