Probing a M/G/1 queue with general input and service times

Detalhes bibliográficos
Autor(a) principal: Antunes, Nelson
Data de Publicação: 2014
Outros Autores: Jacinto, Gonçalo, Pacheco, António
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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spelling 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
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instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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