A differential equation occurring in the M/M/oo queue parameters study using a Markov renewal process

Detalhes bibliográficos
Autor(a) principal: Ferreira, M. A. M.
Data de Publicação: 2015
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10071/10701
Resumo: This work main objective is to present a process to compute the Markov renewal matrix R(t) for Markov renewal processes with infinite coutable states space, which semi-Markov matrixes Q(t) are immigration and death type and assume a tridiagonal form. These processes occur often in practical applications. And the difficulty in obtaining friendly results for R(t) is a great obstacle to its application in practical cases modelling. It is exemplified the application to the M/M/oo queue particular case. The work presented in (5) is resumed but now the emphasis is put in the determination of pfaffian solutionthat must be considered in this example.
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spelling A differential equation occurring in the M/M/oo queue parameters study using a Markov renewal processMarkov renewal processTridiagonal matrixM/M/oo queuePfaffianExact differential equationThis work main objective is to present a process to compute the Markov renewal matrix R(t) for Markov renewal processes with infinite coutable states space, which semi-Markov matrixes Q(t) are immigration and death type and assume a tridiagonal form. These processes occur often in practical applications. And the difficulty in obtaining friendly results for R(t) is a great obstacle to its application in practical cases modelling. It is exemplified the application to the M/M/oo queue particular case. The work presented in (5) is resumed but now the emphasis is put in the determination of pfaffian solutionthat must be considered in this example.Universum Research E-Center2016-01-15T17:26:50Z2015-01-01T00:00:00Z20152019-05-15T13:09:08Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10071/10701eng2410-9738Ferreira, M. A. 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:RCAAP2023-11-09T17:59:06Zoai:repositorio.iscte-iul.pt:10071/10701Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:30:56.442437Repositório 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 A differential equation occurring in the M/M/oo queue parameters study using a Markov renewal process
title A differential equation occurring in the M/M/oo queue parameters study using a Markov renewal process
spellingShingle A differential equation occurring in the M/M/oo queue parameters study using a Markov renewal process
Ferreira, M. A. M.
Markov renewal process
Tridiagonal matrix
M/M/oo queue
Pfaffian
Exact differential equation
title_short A differential equation occurring in the M/M/oo queue parameters study using a Markov renewal process
title_full A differential equation occurring in the M/M/oo queue parameters study using a Markov renewal process
title_fullStr A differential equation occurring in the M/M/oo queue parameters study using a Markov renewal process
title_full_unstemmed A differential equation occurring in the M/M/oo queue parameters study using a Markov renewal process
title_sort A differential equation occurring in the M/M/oo queue parameters study using a Markov renewal process
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 Markov renewal process
Tridiagonal matrix
M/M/oo queue
Pfaffian
Exact differential equation
topic Markov renewal process
Tridiagonal matrix
M/M/oo queue
Pfaffian
Exact differential equation
description This work main objective is to present a process to compute the Markov renewal matrix R(t) for Markov renewal processes with infinite coutable states space, which semi-Markov matrixes Q(t) are immigration and death type and assume a tridiagonal form. These processes occur often in practical applications. And the difficulty in obtaining friendly results for R(t) is a great obstacle to its application in practical cases modelling. It is exemplified the application to the M/M/oo queue particular case. The work presented in (5) is resumed but now the emphasis is put in the determination of pfaffian solutionthat must be considered in this example.
publishDate 2015
dc.date.none.fl_str_mv 2015-01-01T00:00:00Z
2015
2016-01-15T17:26:50Z
2019-05-15T13:09:08Z
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 http://hdl.handle.net/10071/10701
url http://hdl.handle.net/10071/10701
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2410-9738
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 Universum Research E-Center
publisher.none.fl_str_mv Universum Research E-Center
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
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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