Renewal Model of a Buffered Optical Burst Switch

In this paper we propose an analytic framework for estimating blocking probability in an asynchronous optical burst switch with wavelength conversion and a multi-channel feed-back fibre delay line. Burst arrivals are of general renewal type and burst lengths exponentially distributed. Example solutions for gamma-distributed arrivals are compared with discrete-event simulations. To the authors' knowledge, this is the first analytic model of such a switch for general renewal arrival statistics.

[1]  Liam P. Barry,et al.  Equivalent Random analysis of a buffered optical switch with general interarrival times , 2009, 2009 International Symposium on Performance Evaluation of Computer & Telecommunication Systems.

[2]  Brian L. Mark,et al.  Performance modeling of optical-burst switching with fiber delay lines , 2004, IEEE Transactions on Communications.

[3]  Dieter Fiems,et al.  Modeling the performance of FDL buffers with wavelength conversion , 2009, IEEE Transactions on Communications.

[4]  Franco Callegati,et al.  Optical buffers for variable length packets , 2000, IEEE Communications Letters.

[5]  Raul C. Almeida,et al.  A generic-traffic optical buffer modeling for asynchronous optical switching networks , 2005, IEEE Communications Letters.

[6]  N. Akar,et al.  Exact Analysis of Single-Wavelength Optical Buffers With Feedback Markov Fluid Queues , 2009, IEEE/OSA Journal of Optical Communications and Networking.

[7]  E. Patzak,et al.  Integrated Evaluation of Performance and Technology—Throughput of Optical Burst Switching Nodes Under Dynamic Traffic , 2008, Journal of Lightwave Technology.

[8]  Liam P. Barry,et al.  Simplified overflow analysis of an optical burst switch with fibre delay lines , 2009, 2009 Sixth International Conference on Broadband Communications, Networks, and Systems.

[9]  Andre Girard,et al.  Routing and Dimensioning in Circuit-Switched Networks , 1990 .