Analytical evaluation of blocking probability in optical burst switching networks

Ayman Kaheel, Hussein Alnuweiri, Fayez Gebali

Research output: Contribution to journalConference article

17 Citations (Scopus)


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 non-homogenous 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.

Original languageEnglish
Pages (from-to)1548-1553
Number of pages6
JournalIEEE International Conference on Communications
Publication statusPublished - 30 Aug 2004
Event2004 IEEE International Conference on Communications - Paris, France
Duration: 20 Jun 200424 Jun 2004


ASJC Scopus subject areas

  • Computer Networks and Communications
  • Electrical and Electronic Engineering

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