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

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dc.creatorPérez, Juan F.spa
dc.creatorVan Houdt, Bennyspa
dc.date.accessioned2020-08-19T14:42:42Z
dc.date.available2020-08-19T14:42:42Z
dc.date.created2010-11spa
dc.description.abstractThis 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.eng
dc.format.mimetypeapplication/pdf
dc.identifier.doihttps://doi.org/10.1016/j.peva.2010.08.007
dc.identifier.issnISSN: 0166-5316
dc.identifier.issnEISSN: 1872-745X
dc.identifier.urihttps://repository.urosario.edu.co/handle/10336/27553
dc.language.isoengspa
dc.publisherElsevierspa
dc.relation.citationEndPage1058
dc.relation.citationIssueNo. 11
dc.relation.citationStartPage1044
dc.relation.citationTitlePerformance Evaluation
dc.relation.citationVolumeVol. 67
dc.relation.ispartofPerformance Evaluation, ISSN: 0166-5316;EISSN: 1872-745X, Vol.67, No.11 (2010); pp. 1044-1058spa
dc.relation.urihttps://www.sciencedirect.com/science/article/abs/pii/S0166531610001045spa
dc.rights.accesRightsinfo:eu-repo/semantics/restrictedAccess
dc.rights.accesoRestringido (Acceso a grupos específicos)spa
dc.sourcePerformance Evaluationspa
dc.source.instnameinstname:Universidad del Rosario
dc.source.reponamereponame:Repositorio Institucional EdocUR
dc.subject.keywordOptical switchspa
dc.subject.keywordWavelength conversionspa
dc.subject.keywordMean field modelspa
dc.titleA mean field model for an optical switch with a large number of wavelengths and centralized partial conversionspa
dc.title.TranslatedTitleUn modelo de campo medio para un conmutador óptico con una gran cantidad de longitudes de onda y conversión parcial centralizadaspa
dc.typearticleeng
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersion
dc.type.spaArtículospa
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