A mean field model for an optical switch with a large number of wavelengths and centralized partial conversion

This paper analyzes an optical switch with centralized partial wavelength conversion by means of a mean field model. The model can be used to approximate the behavior of a switch with a large number of output wavelengths, and it becomes more accurate as the number of wavelengths increases. At each w...

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Autores:
Tipo de recurso:
Fecha de publicación:
2010
Institución:
Universidad del Rosario
Repositorio:
Repositorio EdocUR - U. Rosario
Idioma:
eng
OAI Identifier:
oai:repository.urosario.edu.co:10336/27553
Acceso en línea:
https://doi.org/10.1016/j.peva.2010.08.007
https://repository.urosario.edu.co/handle/10336/27553
Palabra clave:
Optical switch
Wavelength conversion
Mean field model
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License
Restringido (Acceso a grupos específicos)
id EDOCUR2_19b0f5c949eb4a875c71b38079310af2
oai_identifier_str oai:repository.urosario.edu.co:10336/27553
network_acronym_str EDOCUR2
network_name_str Repositorio EdocUR - U. Rosario
repository_id_str
spelling 80035202600420ab075-a640-42a6-8323-60ddd335b3632020-08-19T14:42:42Z2020-08-19T14:42:42Z2010-11This paper analyzes an optical switch with centralized partial wavelength conversion by means of a mean field model. The model can be used to approximate the behavior of a switch with a large number of output wavelengths, and it becomes more accurate as the number of wavelengths increases. At each wavelength, packets arrive according to a Markovian arrival process, and their size follows a general distribution with finite support. Moreover, these traffic characteristics may be different for each output port. The model provides insight into the effect of the traffic parameters on the packet loss probability, which is considered the main performance measure. In particular, we have found that, if the arrival process is Bernoulli, the loss probability is affected by the packet-size distribution only through its mean. This is no longer the case if the arrivals follow a more general Markovian process, although we have found that even in this case the loss probability is hardly sensitive to the packet-size distribution. Also, under Bernoulli arrivals we provide a closed expression for the minimum conversion ratio required to attain zero losses when the number of wavelengths tends to infinity. For Markovian arrivals we are able to compute this ratio with a single run of the mean field model.application/pdfhttps://doi.org/10.1016/j.peva.2010.08.007ISSN: 0166-5316EISSN: 1872-745Xhttps://repository.urosario.edu.co/handle/10336/27553engElsevier1058No. 111044Performance EvaluationVol. 67Performance Evaluation, ISSN: 0166-5316;EISSN: 1872-745X, Vol.67, No.11 (2010); pp. 1044-1058https://www.sciencedirect.com/science/article/abs/pii/S0166531610001045Restringido (Acceso a grupos específicos)http://purl.org/coar/access_right/c_16ecPerformance Evaluationinstname:Universidad del Rosarioreponame:Repositorio Institucional EdocUROptical switchWavelength conversionMean field modelA mean field model for an optical switch with a large number of wavelengths and centralized partial conversionUn modelo de campo medio para un conmutador óptico con una gran cantidad de longitudes de onda y conversión parcial centralizadaarticleArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501Pérez, Juan F.Van Houdt, Benny10336/27553oai:repository.urosario.edu.co:10336/275532021-09-23 12:30:59.226https://repository.urosario.edu.coRepositorio institucional EdocURedocur@urosario.edu.co
dc.title.spa.fl_str_mv A mean field model for an optical switch with a large number of wavelengths and centralized partial conversion
dc.title.TranslatedTitle.spa.fl_str_mv Un modelo de campo medio para un conmutador óptico con una gran cantidad de longitudes de onda y conversión parcial centralizada
title A mean field model for an optical switch with a large number of wavelengths and centralized partial conversion
spellingShingle A mean field model for an optical switch with a large number of wavelengths and centralized partial conversion
Optical switch
Wavelength conversion
Mean field model
title_short A mean field model for an optical switch with a large number of wavelengths and centralized partial conversion
title_full A mean field model for an optical switch with a large number of wavelengths and centralized partial conversion
title_fullStr A mean field model for an optical switch with a large number of wavelengths and centralized partial conversion
title_full_unstemmed A mean field model for an optical switch with a large number of wavelengths and centralized partial conversion
title_sort A mean field model for an optical switch with a large number of wavelengths and centralized partial conversion
dc.subject.keyword.spa.fl_str_mv Optical switch
Wavelength conversion
Mean field model
topic Optical switch
Wavelength conversion
Mean field model
description This paper analyzes an optical switch with centralized partial wavelength conversion by means of a mean field model. The model can be used to approximate the behavior of a switch with a large number of output wavelengths, and it becomes more accurate as the number of wavelengths increases. At each wavelength, packets arrive according to a Markovian arrival process, and their size follows a general distribution with finite support. Moreover, these traffic characteristics may be different for each output port. The model provides insight into the effect of the traffic parameters on the packet loss probability, which is considered the main performance measure. In particular, we have found that, if the arrival process is Bernoulli, the loss probability is affected by the packet-size distribution only through its mean. This is no longer the case if the arrivals follow a more general Markovian process, although we have found that even in this case the loss probability is hardly sensitive to the packet-size distribution. Also, under Bernoulli arrivals we provide a closed expression for the minimum conversion ratio required to attain zero losses when the number of wavelengths tends to infinity. For Markovian arrivals we are able to compute this ratio with a single run of the mean field model.
publishDate 2010
dc.date.created.spa.fl_str_mv 2010-11
dc.date.accessioned.none.fl_str_mv 2020-08-19T14:42:42Z
dc.date.available.none.fl_str_mv 2020-08-19T14:42:42Z
dc.type.eng.fl_str_mv article
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_6501
dc.type.spa.spa.fl_str_mv Artículo
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1016/j.peva.2010.08.007
dc.identifier.issn.none.fl_str_mv ISSN: 0166-5316
EISSN: 1872-745X
dc.identifier.uri.none.fl_str_mv https://repository.urosario.edu.co/handle/10336/27553
url https://doi.org/10.1016/j.peva.2010.08.007
https://repository.urosario.edu.co/handle/10336/27553
identifier_str_mv ISSN: 0166-5316
EISSN: 1872-745X
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.citationEndPage.none.fl_str_mv 1058
dc.relation.citationIssue.none.fl_str_mv No. 11
dc.relation.citationStartPage.none.fl_str_mv 1044
dc.relation.citationTitle.none.fl_str_mv Performance Evaluation
dc.relation.citationVolume.none.fl_str_mv Vol. 67
dc.relation.ispartof.spa.fl_str_mv Performance Evaluation, ISSN: 0166-5316;EISSN: 1872-745X, Vol.67, No.11 (2010); pp. 1044-1058
dc.relation.uri.spa.fl_str_mv https://www.sciencedirect.com/science/article/abs/pii/S0166531610001045
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_16ec
dc.rights.acceso.spa.fl_str_mv Restringido (Acceso a grupos específicos)
rights_invalid_str_mv Restringido (Acceso a grupos específicos)
http://purl.org/coar/access_right/c_16ec
dc.format.mimetype.none.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Elsevier
dc.source.spa.fl_str_mv Performance Evaluation
institution Universidad del Rosario
dc.source.instname.none.fl_str_mv instname:Universidad del Rosario
dc.source.reponame.none.fl_str_mv reponame:Repositorio Institucional EdocUR
repository.name.fl_str_mv Repositorio institucional EdocUR
repository.mail.fl_str_mv edocur@urosario.edu.co
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