Balking and reneging in a vacation queueing model

We study a single server queueing system in which arrivals follow a compound Poisson process and the service times of customers have exponential distribution. The system is subject to server vacations occuiring randomly in time and in addition the impatient customers resort to balking and reneging d...

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Autores:: Madan, K. C.

Tipo de recurso:: Article of journal

Fecha de publicación:: 1993

Institución:: Universidad Nacional de Colombia

Repositorio:: Universidad Nacional de Colombia

Idioma:: spa

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spelling	Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Madan, K. C.8a2efd24-5f12-48b5-a9c8-e21d3170b0e83002019-06-25T22:36:23Z2019-06-25T22:36:23Z1993https://repositorio.unal.edu.co/handle/unal/24362http://bdigital.unal.edu.co/15399/We study a single server queueing system in which arrivals follow a compound Poisson process and the service times of customers have exponential distribution. The system is subject to server vacations occuiring randomly in time and in addition the impatient customers resort to balking and reneging during the server's vacation period. The steady state probability generating functions for the system when the server is available or on vacation have been obtained explicitly as also the average number in the system. Various particular cases of interest have also been derived.application/pdfspaUniversidad Nacional de Colombiahttp://revistas.unal.edu.co/index.php/estad/article/view/10005Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaRevista Colombiana de Estadística; Vol. 14, núm. 28 (1993) Revista Colombiana de Estadística; Vol. 14, núm. 28 (1993) 0120-1751Madan, K. C. (1993) Balking and reneging in a vacation queueing model. Revista Colombiana de Estadística; Vol. 14, núm. 28 (1993) Revista Colombiana de Estadística; Vol. 14, núm. 28 (1993) 0120-1751 .Balking and reneging in a vacation queueing modelArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTEstadística matemáticaModelo de PoissonCorrelación exponencialEstado de equilibrioProbabilidad de generación de funciónEstadística matemáticaModelo de PoissonProbabilidadesORIGINAL10005-18141-1-PB.pdfapplication/pdf731693https://repositorio.unal.edu.co/bitstream/unal/24362/1/10005-18141-1-PB.pdf1654f5b7eb24065eb657fec6a96c4d8cMD51THUMBNAIL10005-18141-1-PB.pdf.jpg10005-18141-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg7410https://repositorio.unal.edu.co/bitstream/unal/24362/2/10005-18141-1-PB.pdf.jpge8f2944d3f1f6f2e9b7aca43aa515760MD52unal/24362oai:repositorio.unal.edu.co:unal/243622023-10-16 23:06:16.701Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv	Balking and reneging in a vacation queueing model
title	Balking and reneging in a vacation queueing model
spellingShingle	Balking and reneging in a vacation queueing model Estadística matemática Modelo de Poisson Correlación exponencial Estado de equilibrio Probabilidad de generación de función Estadística matemática Modelo de Poisson Probabilidades
title_short	Balking and reneging in a vacation queueing model
title_full	Balking and reneging in a vacation queueing model
title_fullStr	Balking and reneging in a vacation queueing model
title_full_unstemmed	Balking and reneging in a vacation queueing model
title_sort	Balking and reneging in a vacation queueing model
dc.creator.fl_str_mv	Madan, K. C.
dc.contributor.author.spa.fl_str_mv	Madan, K. C.
dc.subject.proposal.spa.fl_str_mv	Estadística matemática Modelo de Poisson Correlación exponencial Estado de equilibrio Probabilidad de generación de función Estadística matemática Modelo de Poisson Probabilidades
topic	Estadística matemática Modelo de Poisson Correlación exponencial Estado de equilibrio Probabilidad de generación de función Estadística matemática Modelo de Poisson Probabilidades
description	We study a single server queueing system in which arrivals follow a compound Poisson process and the service times of customers have exponential distribution. The system is subject to server vacations occuiring randomly in time and in addition the impatient customers resort to balking and reneging during the server's vacation period. The steady state probability generating functions for the system when the server is available or on vacation have been obtained explicitly as also the average number in the system. Various particular cases of interest have also been derived.
publishDate	1993
dc.date.issued.spa.fl_str_mv	1993
dc.date.accessioned.spa.fl_str_mv	2019-06-25T22:36:23Z
dc.date.available.spa.fl_str_mv	2019-06-25T22:36:23Z
dc.type.spa.fl_str_mv	Artículo de revista
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dc.language.iso.spa.fl_str_mv	spa
language	spa
dc.relation.spa.fl_str_mv	http://revistas.unal.edu.co/index.php/estad/article/view/10005
dc.relation.ispartof.spa.fl_str_mv	Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Estadística Revista Colombiana de Estadística
dc.relation.ispartofseries.none.fl_str_mv	Revista Colombiana de Estadística; Vol. 14, núm. 28 (1993) Revista Colombiana de Estadística; Vol. 14, núm. 28 (1993) 0120-1751
dc.relation.references.spa.fl_str_mv	Madan, K. C. (1993) Balking and reneging in a vacation queueing model. Revista Colombiana de Estadística; Vol. 14, núm. 28 (1993) Revista Colombiana de Estadística; Vol. 14, núm. 28 (1993) 0120-1751 .
dc.rights.spa.fl_str_mv	Derechos reservados - Universidad Nacional de Colombia
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dc.publisher.spa.fl_str_mv	Universidad Nacional de Colombia
institution	Universidad Nacional de Colombia
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Balking and reneging in a vacation queueing model

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