Probing a M/G/1 queue with general input and service times
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10174/12651 https://doi.org/10.1145/2567529.2567540 |
Resumo: | We consider the estimation of the arrival rate and the service time moments of a $M/G/1$ queue with probing, i.e., with special customers (probes) entering the system. The probe inter-arrival times are i.i.d. and probe service times follow a general positive distribution. The only observations used are the arrival times, service times and departure times of probes. We derive the main equations from which the quantities of interest can be estimated. Two particular probe arrivals, deterministic and Poisson, are investigated. |
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Probing a M/G/1 queue with general input and service timesWe consider the estimation of the arrival rate and the service time moments of a $M/G/1$ queue with probing, i.e., with special customers (probes) entering the system. The probe inter-arrival times are i.i.d. and probe service times follow a general positive distribution. The only observations used are the arrival times, service times and departure times of probes. We derive the main equations from which the quantities of interest can be estimated. Two particular probe arrivals, deterministic and Poisson, are investigated.2015-02-19T11:30:25Z2015-02-192014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/12651http://hdl.handle.net/10174/12651https://doi.org/10.1145/2567529.2567540engAntunes, N.; Jacinto, G.; Pacheco, A.. Probing a M/G/1 queue with general input and service times, ACM SIGMETRICS Performance Evaluation Review, 41, 3, 34-36, 2014.CIMA - Centro de Inestigação em Matemática e Aplicações da Universidade de Évorandndnd340Antunes, NelsonJacinto, GonçaloPacheco, Antónioinfo: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:RCAAP2024-01-03T18:56:34Zoai:dspace.uevora.pt:10174/12651Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:05:48.587953Repositório 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 |
Probing a M/G/1 queue with general input and service times |
title |
Probing a M/G/1 queue with general input and service times |
spellingShingle |
Probing a M/G/1 queue with general input and service times Antunes, Nelson |
title_short |
Probing a M/G/1 queue with general input and service times |
title_full |
Probing a M/G/1 queue with general input and service times |
title_fullStr |
Probing a M/G/1 queue with general input and service times |
title_full_unstemmed |
Probing a M/G/1 queue with general input and service times |
title_sort |
Probing a M/G/1 queue with general input and service times |
author |
Antunes, Nelson |
author_facet |
Antunes, Nelson Jacinto, Gonçalo Pacheco, António |
author_role |
author |
author2 |
Jacinto, Gonçalo Pacheco, António |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Antunes, Nelson Jacinto, Gonçalo Pacheco, António |
description |
We consider the estimation of the arrival rate and the service time moments of a $M/G/1$ queue with probing, i.e., with special customers (probes) entering the system. The probe inter-arrival times are i.i.d. and probe service times follow a general positive distribution. The only observations used are the arrival times, service times and departure times of probes. We derive the main equations from which the quantities of interest can be estimated. Two particular probe arrivals, deterministic and Poisson, are investigated. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-01-01T00:00:00Z 2015-02-19T11:30:25Z 2015-02-19 |
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/10174/12651 http://hdl.handle.net/10174/12651 https://doi.org/10.1145/2567529.2567540 |
url |
http://hdl.handle.net/10174/12651 https://doi.org/10.1145/2567529.2567540 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Antunes, N.; Jacinto, G.; Pacheco, A.. Probing a M/G/1 queue with general input and service times, ACM SIGMETRICS Performance Evaluation Review, 41, 3, 34-36, 2014. CIMA - Centro de Inestigação em Matemática e Aplicações da Universidade de Évora nd nd nd 340 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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 |
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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) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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