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      • Department of Electrical and Electronics Engineering
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      Exact calculation of blocking probabilities for bufferless optical burst switched links with partial wavelength conversion

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      Author
      Akar, Nail
      Karasan, Ezhan
      Date
      2004-10
      Source Title
      Proceedings - First International Conference on Broadband Networks, BroadNets 2004
      Publisher
      IEEE
      Pages
      110 - 117
      Language
      English
      Type
      Conference Paper
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      Abstract
      In 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.
      Keywords
      Blocking probabilities
      Optical burst switching (OBS)
      Optical Internet
      Tunable wavelength converters (TWC)
      Functions
      Optoelectronic devices
      Probability
      Quality of service
      Telecommunication systems
      Telecommunication traffic
      Wavelength division multiplexing
      Optical switches
      Permalink
      http://hdl.handle.net/11693/27435
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/BROADNETS.2004.40
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      • Department of Electrical and Electronics Engineering 3524
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