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...
- 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
- Rights
- License
- Restringido (Acceso a grupos específicos)
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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 |
_version_ |
1814167723272306688 |