Analytical evaluation of blocking probability in optical burst switching networks

TitleAnalytical evaluation of blocking probability in optical burst switching networks
Publication TypeConference Paper
Year of Publication2004
AuthorsKaheel, A., H. Alnuweiri, and F. Gebali
Conference NameCommunications, 2004 IEEE International Conference on
Pagination1548 - 1553 Vol.3
Date Publishedjun.
Keywordsblocking probability, burst length, burst offset time, discrete event simulation, discrete-event simulation, just-enough-time, just-in-time, Markov processes, nonhomogenous Markov chain, optical burst switching networks, optical fibre networks, probability, protocols, wavelength channels, wavelength reservation protocol

In this paper we present a new analytical model for evaluating the blocking probability in Just-Enough-Time-based optical burst switching networks. The proposed analytical model takes into consideration the effects of the burst offset time and the burst length on the blocking probability. We use a (M+1)-state nonhomogenous Markov chain to describe the state of an output link carrying M wavelength channels. In addition, we model each wavelength channel by a 2-state Markov chain. The offset time is drawn from a specified distribution so that wavelength reservation requests, made before a given time, build up to be a workload whose mean value declines with the reservation starting time. Furthermore, we express the blocking probability in terms of first passage time distributions to account for the burst length. To verify its accuracy, the model results are compared with the results of a sophisticated discrete-event simulation model. The model results were found to be in satisfactory agreement with simulation results.


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