A new analytical model for computing blocking probability in optical burst switching networks

Ayman Malek Kaheel, Hussein Alnuweiri, Fayez Gebali

Research output: Contribution to journalArticle

26 Citations (Scopus)


This paper presents a new analytical model for calculating the blocking probability in Just-Enough-Time (JET)- based optical burst switching networks. Relationship to the problem of calculating the reservation probability in advance reservation systems is also discussed. 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 discreteevent simulation model. The model results were found to be in satisfactory agreement with simulation results.

Original languageEnglish
Article number4027708
Pages (from-to)120-128
Number of pages9
JournalIEEE Journal on Selected Areas in Communications
Issue number12 SUPPL.
Publication statusPublished - 1 Dec 2006
Externally publishedYes



  • Advance reservation systems
  • Blocking probability
  • Burst switching
  • Optical networks

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Electrical and Electronic Engineering

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