Titulo:
Detailed state probability distribution of infinite servers queues with phase-type distributed service times
.
Sumario:
ONTARE. REVISTA DE INVESTIGACIÓN DE LA FACULTAD DE INGENIERÍA We present a detailed analysis of the M/PH/ queue, which allows determining an analytic form for both the transient and the steady-state probability distribution of customers at the various phases of the service. The analysis is based on the correspondence that can be found between the stochastic process representing the number of customers in service at the various phases of the PH distribution, and a stochastic process that represents the evolution of the number of customers in the nodes of a Jackson’s network where all service centers are M/M/ queues.
Guardado en:
2382-3399
2745-2220
3
2015-10-30
29
54
Revista Ontare - 2016
info:eu-repo/semantics/openAccess
http://purl.org/coar/access_right/c_abf2
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Detailed state probability distribution of infinite servers queues with phase-type distributed service times Filas de servidor infinito con distribución de tiempos de servicio tipo fase ONTARE. REVISTA DE INVESTIGACIÓN DE LA FACULTAD DE INGENIERÍA We present a detailed analysis of the M/PH/ queue, which allows determining an analytic form for both the transient and the steady-state probability distribution of customers at the various phases of the service. The analysis is based on the correspondence that can be found between the stochastic process representing the number of customers in service at the various phases of the PH distribution, and a stochastic process that represents the evolution of the number of customers in the nodes of a Jackson’s network where all service centers are M/M/ queues. ONTARE. REVISTA DE INVESTIGACIÓN DE LA FACULTAD DE INGENIERÍA Este documento presenta un análisis detallado de la cola M/PH/∞, la cual permite determinar de una forma analítica, tanto para un estado transitorio como para uno estacionario, la distribución de probabilidad de los clientes en las distintas fases del servicio. El análisis se basa en la correspondencia que se puede encontrar entre el proceso estocástico que representa el número de clientes en servicioen las diferentes fases de la distribución de PH, y en un proceso estocástico que representa la evolución del número de clientes en los nodos de una red Jackson en la que todos los centros de servicio son colas M/M/∞. Mura, Ivan Distribution (Probability theory) Stochastic processes Industrial process control Distribución (Teoría de probabilidades) Procesos estocásticos Control de procesos industriales Distribuição (teoria de probabilidade) Processos estocásticos Controle de processos industriais 3 1 Núm. 1 , Año 2015 : Aplicaciones en Ingeniería Artículo de revista Journal article 2015-10-30T00:00:00Z 2015-10-30T00:00:00Z 2015-10-30 application/pdf Universidad Ean Revista Ontare 2382-3399 2745-2220 https://journal.universidadean.edu.co/index.php/Revistao/article/view/1249 10.21158/23823399.v3.n1.2015.1249 https://doi.org/10.21158/23823399.v3.n1.2015.1249 spa https://creativecommons.org/licenses/by-nc-sa/4.0/ Revista Ontare - 2016 29 54 https://journal.universidadean.edu.co/index.php/Revistao/article/download/1249/1214 info:eu-repo/semantics/article http://purl.org/coar/resource_type/c_6501 http://purl.org/redcol/resource_type/ARTREF info:eu-repo/semantics/publishedVersion http://purl.org/coar/version/c_970fb48d4fbd8a85 info:eu-repo/semantics/openAccess http://purl.org/coar/access_right/c_abf2 Text Publication |
| institution |
UNIVERSIDAD EAN |
| thumbnail |
https://nuevo.metarevistas.org/UNIVERSIDADEAN/logo.png |
| country_str |
Colombia |
| collection |
Revista Ontare |
| title |
Detailed state probability distribution of infinite servers queues with phase-type distributed service times |
| spellingShingle |
Detailed state probability distribution of infinite servers queues with phase-type distributed service times Mura, Ivan Distribution (Probability theory) Stochastic processes Industrial process control Distribución (Teoría de probabilidades) Procesos estocásticos Control de procesos industriales Distribuição (teoria de probabilidade) Processos estocásticos Controle de processos industriais |
| title_short |
Detailed state probability distribution of infinite servers queues with phase-type distributed service times |
| title_full |
Detailed state probability distribution of infinite servers queues with phase-type distributed service times |
| title_fullStr |
Detailed state probability distribution of infinite servers queues with phase-type distributed service times |
| title_full_unstemmed |
Detailed state probability distribution of infinite servers queues with phase-type distributed service times |
| title_sort |
detailed state probability distribution of infinite servers queues with phase-type distributed service times |
| title_eng |
Filas de servidor infinito con distribución de tiempos de servicio tipo fase |
| description |
ONTARE. REVISTA DE INVESTIGACIÓN DE LA FACULTAD DE INGENIERÍA
We present a detailed analysis of the M/PH/ queue, which allows determining an analytic form for both the transient and the steady-state probability distribution of customers at the various phases of the service. The analysis is based on the correspondence that can be found between the stochastic process representing the number of customers in service at the various phases of the PH distribution, and a stochastic process that represents the evolution of the number of customers in the nodes of a Jackson’s network where all service centers are M/M/ queues.
|
| description_eng |
ONTARE. REVISTA DE INVESTIGACIÓN DE LA FACULTAD DE INGENIERÍA
Este documento presenta un análisis detallado de la cola M/PH/∞, la cual permite determinar de una forma analítica, tanto para un estado transitorio como para uno estacionario, la distribución de probabilidad de los clientes en las distintas fases del servicio. El análisis se basa en la correspondencia que se puede encontrar entre el proceso estocástico que representa el número de clientes en servicioen las diferentes fases de la distribución de PH, y en un proceso estocástico que representa la evolución del número de clientes en los nodos de una red Jackson en la que todos los centros de servicio son colas M/M/∞.
|
| author |
Mura, Ivan |
| author_facet |
Mura, Ivan |
| topicspa_str_mv |
Distribution (Probability theory) Stochastic processes Industrial process control |
| topic |
Distribution (Probability theory) Stochastic processes Industrial process control Distribución (Teoría de probabilidades) Procesos estocásticos Control de procesos industriales Distribuição (teoria de probabilidade) Processos estocásticos Controle de processos industriais |
| topic_facet |
Distribution (Probability theory) Stochastic processes Industrial process control Distribución (Teoría de probabilidades) Procesos estocásticos Control de procesos industriales Distribuição (teoria de probabilidade) Processos estocásticos Controle de processos industriais |
| citationvolume |
3 |
| citationissue |
1 |
| citationedition |
Núm. 1 , Año 2015 : Aplicaciones en Ingeniería |
| publisher |
Universidad Ean |
| ispartofjournal |
Revista Ontare |
| source |
https://journal.universidadean.edu.co/index.php/Revistao/article/view/1249 |
| language |
spa |
| format |
Article |
| rights |
https://creativecommons.org/licenses/by-nc-sa/4.0/ Revista Ontare - 2016 info:eu-repo/semantics/openAccess http://purl.org/coar/access_right/c_abf2 |
| type_driver |
info:eu-repo/semantics/article |
| type_coar |
http://purl.org/coar/resource_type/c_6501 |
| type_version |
info:eu-repo/semantics/publishedVersion |
| type_coarversion |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| type_content |
Text |
| publishDate |
2015-10-30 |
| date_accessioned |
2015-10-30T00:00:00Z |
| date_available |
2015-10-30T00:00:00Z |
| url |
https://journal.universidadean.edu.co/index.php/Revistao/article/view/1249 |
| url_doi |
https://doi.org/10.21158/23823399.v3.n1.2015.1249 |
| issn |
2382-3399 |
| eissn |
2745-2220 |
| doi |
10.21158/23823399.v3.n1.2015.1249 |
| citationstartpage |
29 |
| citationendpage |
54 |
| url2_str_mv |
https://journal.universidadean.edu.co/index.php/Revistao/article/download/1249/1214 |
| _version_ |
1811200238879244288 |