Exact calculation of blocking probabilities for bufferless optical burst switched links with partial wavelength conversion
Author
Akar, Nail
Karasan, Ezhan
Date
2004-10Source Title
Proceedings - First International Conference on Broadband Networks, BroadNets 2004
Publisher
IEEE
Pages
110 - 117
Language
English
Type
Conference PaperItem Usage Stats
164
views
views
118
downloads
downloads
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 probabilitiesOptical 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