Analytical evaluation of blocking probability in optical burst switching networks

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.

[1]  Hai Le Vu,et al.  Blocking probability for priority classes in optical burst switching networks , 2002, IEEE Communications Letters.

[2]  Hussein M. Alnuweiri,et al.  A strict priority scheme for quality-of-service provisioning in optical burst switching networks , 2003, Proceedings of the Eighth IEEE Symposium on Computers and Communications. ISCC 2003.

[3]  J.Y. Wei,et al.  Just-in-time signaling for WDM optical burst switching networks , 2000, Journal of Lightwave Technology.

[4]  Amr Mohamed,et al.  Quality-of-service mechanisms in IP-over-WDM networks , 2002, IEEE Commun. Mag..

[5]  Chunming Qiao,et al.  Optical burst switching (OBS) - a new paradigm for an Optical Internet^{1} , 1999, J. High Speed Networks.

[6]  Jonathan S. Turner,et al.  Terabit burst switching , 1999, J. High Speed Networks.

[7]  R. Ravikanth,et al.  Optical burst switching: a viable solution for terabit IP backbone , 2000 .

[8]  Chunming Qiao,et al.  Optical burst switching for service differentiation in the next-generation optical Internet , 2001 .

[9]  Chunming Qiao,et al.  New optical burst-switching protocol for supporting quality of service , 1998, Other Conferences.

[10]  C. Siva Ram Murthy,et al.  WDM Optical Networks: Concepts, Design, and Algorithms , 2001 .

[11]  Christoph M. Gauger,et al.  Evaluation of Reservation Mechanisms for Optical Burst Switching , 2001 .

[12]  Yijun Xiong,et al.  Control architecture in optical burst-switched WDM networks , 2000, IEEE Journal on Selected Areas in Communications.

[13]  Masaaki Kijima,et al.  Markov processes for stochastic modeling , 1997 .

[14]  Chunming Qiao,et al.  Choices, Features and Issues in Optical Burst Switching , 2000 .