A differential equation occurring in the M/M/oo queue parameters study using a Markov renewal process
Autor(a) principal: | |
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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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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 |
repository.mail.fl_str_mv |
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1799134871312924672 |