On a vacation queue with two parallel severs each equipped with a stand-by

The paper studies an M/M/2 queueing system in which each server is equipped with a stand-by. The stand-by are employed only during the vacation períods of main severs. The vacation periods of the two severs are aasumed to be independent with an identical exponential distribution. The time dependent...

Full description

Autores:
Madan, K. C.
Tipo de recurso:
Article of journal
Fecha de publicación:
1994
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/24369
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/24369
http://bdigital.unal.edu.co/15406/
Palabra clave:
Estadística matemática
Modelo de Poisson
Transformación de laplace
Estadística matemática
Modelo de Poisson
Transformación de laplace
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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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-e21d3170b0e83002019-06-25T22:36:28Z2019-06-25T22:36:28Z1994https://repositorio.unal.edu.co/handle/unal/24369http://bdigital.unal.edu.co/15406/The paper studies an M/M/2 queueing system in which each server is equipped with a stand-by. The stand-by are employed only during the vacation períods of main severs. The vacation periods of the two severs are aasumed to be independent with an identical exponential distribution. The time dependent results giving probability generating functions for the number in the system under various states have been obtained and in a particular case a known result has been derived at. The corresponding steady state results are also derived.application/pdfspaUniversidad Nacional de Colombiahttp://revistas.unal.edu.co/index.php/estad/article/view/10013Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaRevista Colombiana de Estadística; Vol. 15, núm. 29-30 (1994) Revista Colombiana de Estadística; Vol. 15, núm. 29-30 (1994) 0120-1751Madan, K. C. (1994) On a vacation queue with two parallel severs each equipped with a stand-by. Revista Colombiana de Estadística; Vol. 15, núm. 29-30 (1994) Revista Colombiana de Estadística; Vol. 15, núm. 29-30 (1994) 0120-1751 .On a vacation queue with two parallel severs each equipped with a stand-byArtículo 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 PoissonTransformación de laplaceEstadística matemáticaModelo de PoissonTransformación de laplaceORIGINAL10013-18175-1-PB.pdfapplication/pdf473416https://repositorio.unal.edu.co/bitstream/unal/24369/1/10013-18175-1-PB.pdf6ab795d0f5100cac10a83d7600d047d4MD51THUMBNAIL10013-18175-1-PB.pdf.jpg10013-18175-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg7936https://repositorio.unal.edu.co/bitstream/unal/24369/2/10013-18175-1-PB.pdf.jpg2659a050729a392b8ea5bfd8c3e68cefMD52unal/24369oai:repositorio.unal.edu.co:unal/243692023-10-16 23:06:24.892Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv On a vacation queue with two parallel severs each equipped with a stand-by
title On a vacation queue with two parallel severs each equipped with a stand-by
spellingShingle On a vacation queue with two parallel severs each equipped with a stand-by
Estadística matemática
Modelo de Poisson
Transformación de laplace
Estadística matemática
Modelo de Poisson
Transformación de laplace
title_short On a vacation queue with two parallel severs each equipped with a stand-by
title_full On a vacation queue with two parallel severs each equipped with a stand-by
title_fullStr On a vacation queue with two parallel severs each equipped with a stand-by
title_full_unstemmed On a vacation queue with two parallel severs each equipped with a stand-by
title_sort On a vacation queue with two parallel severs each equipped with a stand-by
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
Transformación de laplace
Estadística matemática
Modelo de Poisson
Transformación de laplace
topic Estadística matemática
Modelo de Poisson
Transformación de laplace
Estadística matemática
Modelo de Poisson
Transformación de laplace
description The paper studies an M/M/2 queueing system in which each server is equipped with a stand-by. The stand-by are employed only during the vacation períods of main severs. The vacation periods of the two severs are aasumed to be independent with an identical exponential distribution. The time dependent results giving probability generating functions for the number in the system under various states have been obtained and in a particular case a known result has been derived at. The corresponding steady state results are also derived.
publishDate 1994
dc.date.issued.spa.fl_str_mv 1994
dc.date.accessioned.spa.fl_str_mv 2019-06-25T22:36:28Z
dc.date.available.spa.fl_str_mv 2019-06-25T22:36:28Z
dc.type.spa.fl_str_mv Artículo de revista
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url https://repositorio.unal.edu.co/handle/unal/24369
http://bdigital.unal.edu.co/15406/
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/10013
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. 15, núm. 29-30 (1994) Revista Colombiana de Estadística; Vol. 15, núm. 29-30 (1994) 0120-1751
dc.relation.references.spa.fl_str_mv Madan, K. C. (1994) On a vacation queue with two parallel severs each equipped with a stand-by. Revista Colombiana de Estadística; Vol. 15, núm. 29-30 (1994) Revista Colombiana de Estadística; Vol. 15, núm. 29-30 (1994) 0120-1751 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
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dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia
institution Universidad Nacional de Colombia
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