Some notes on a semi-Markov matrix occurring in the M|M|∞ queue parameters study
| Autor(a) principal: | |
|---|---|
| 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/17159 http://hdl.handle.net/10071/8873 |
Resumo: | The main objective of this work is to present a process to compute the Markov renewal matrix R(t) for Markov renewal processes with countable infinite spaces, 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 considered the application to the M|M|∞ queue particular case. |
| id |
RCAP_f67a7cb31105668607988ca2a2f3bd46 |
|---|---|
| oai_identifier_str |
oai:repositorio.iscte-iul.pt:10071/8873 |
| network_acronym_str |
RCAP |
| network_name_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
| repository_id_str |
|
| spelling |
Some notes on a semi-Markov matrix occurring in the M|M|∞ queue parameters studyMarkov renewal processTridiagonal matrixM|M|∞ queueThe main objective of this work is to present a process to compute the Markov renewal matrix R(t) for Markov renewal processes with countable infinite spaces, 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 considered the application to the M|M|∞ queue particular case.Progress IPS LLC2015-05-04T13:47:59Z2014-01-01T00:00:00Z20142015-05-04T13:44:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://ciencia.iscte-iul.pt/public/pub/id/17159http://hdl.handle.net/10071/8873eng2078-0257Ferreira, Manuel Alberto M.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-25T17:30:55ZPortal AgregadorONG |
| dc.title.none.fl_str_mv |
Some notes on a semi-Markov matrix occurring in the M|M|∞ queue parameters study |
| title |
Some notes on a semi-Markov matrix occurring in the M|M|∞ queue parameters study |
| spellingShingle |
Some notes on a semi-Markov matrix occurring in the M|M|∞ queue parameters study Ferreira, Manuel Alberto M. Markov renewal process Tridiagonal matrix M|M|∞ queue |
| title_short |
Some notes on a semi-Markov matrix occurring in the M|M|∞ queue parameters study |
| title_full |
Some notes on a semi-Markov matrix occurring in the M|M|∞ queue parameters study |
| title_fullStr |
Some notes on a semi-Markov matrix occurring in the M|M|∞ queue parameters study |
| title_full_unstemmed |
Some notes on a semi-Markov matrix occurring in the M|M|∞ queue parameters study |
| title_sort |
Some notes on a semi-Markov matrix occurring in the M|M|∞ queue parameters study |
| 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 |
Markov renewal process Tridiagonal matrix M|M|∞ queue |
| topic |
Markov renewal process Tridiagonal matrix M|M|∞ queue |
| description |
The main objective of this work is to present a process to compute the Markov renewal matrix R(t) for Markov renewal processes with countable infinite spaces, 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 considered the application to the M|M|∞ queue particular case. |
| publishDate |
2014 |
| dc.date.none.fl_str_mv |
2014-01-01T00:00:00Z 2014 2015-05-04T13:47:59Z 2015-05-04T13:44:00Z |
| 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/17159 http://hdl.handle.net/10071/8873 |
| url |
https://ciencia.iscte-iul.pt/public/pub/id/17159 http://hdl.handle.net/10071/8873 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
2078-0257 |
| dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
| eu_rights_str_mv |
openAccess |
| 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 |
| 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 |
|
| repository.mail.fl_str_mv |
|
| _version_ |
1777303973167890432 |