Chebyshev's inequality application in queues domain tail distributions upper bound calculation
Autor(a) principal: | |
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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/12348 http://hdl.handle.net/10071/8120 |
Resumo: | 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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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:RCAAP2023-07-25T17:43:15ZPortal AgregadorONG |
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) 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 |
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RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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1777304029198548992 |