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dc.contributor.authorAkar, N.en_US
dc.contributor.authorKarasan, E.en_US
dc.date.accessioned2016-02-08T11:53:17Z
dc.date.available2016-02-08T11:53:17Z
dc.date.issued2004en_US
dc.identifier.urihttp://hdl.handle.net/11693/27435
dc.description.abstractIn this paper, we study the blocking probabilities in a wavelength division multiplexing-based asynchronous bufferless optical burst switch equipped with a bank of tuneable wavelength converters that is shared per output link. The size of this bank is generally chosen to be less than the number of wavelengths on the link because of the relatively high cost of wavelength converters using current technologies; this case is referred to as partial wavelength conversion in the literature. We present a probabilistic framework for exactly calculating the blocking probabilities. Burst durations are assumed to be exponentially distributed. Burst arrivals are first assumed to be Poisson and later generalized to the more general phase-type distribution. Unlike existing literature based on approximations and/or simulations, we formulate the problem as one of finding the steadystate solution of a continuous-time Markov chain with a block tridiagonal infinitesimal generator. We propose a numerically efficient and stable solution technique based on block tridiagonal LU factorizations. We show that blocking probabilities can exactly and efficiently be found even for very large systems and rare blocking probabilities. Based on the results of this solution technique, we also show how this analysis can be used for provisioning wavelength channels and converters. © 2004 IEEE.en_US
dc.language.isoEnglishen_US
dc.source.titleProceedings - First International Conference on Broadband Networks, BroadNets 2004en_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/BROADNETS.2004.40en_US
dc.subjectBlocking probabilitiesen_US
dc.subjectOptical burst switching (OBS)en_US
dc.subjectOptical Interneten_US
dc.subjectTunable wavelength converters (TWC)en_US
dc.subjectFunctionsen_US
dc.subjectOptoelectronic devicesen_US
dc.subjectProbabilityen_US
dc.subjectQuality of serviceen_US
dc.subjectTelecommunication systemsen_US
dc.subjectTelecommunication trafficen_US
dc.subjectWavelength division multiplexingen_US
dc.subjectOptical switchesen_US
dc.titleExact calculation of blocking probabilities for bufferless optical burst switched links with partial wavelength conversionen_US
dc.typeConference Paperen_US
dc.departmentDepartment of Electrical and Electronics Engineering
dc.citation.spage110en_US
dc.citation.epage117en_US
dc.identifier.doi10.1109/BROADNETS.2004.40en_US


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