Stochastic Analysis of Finite Population Bufferless Multiplexing in Optical Packet/Burst Switching Systems

Nail AKAR  Yavuz GUNALAY  

IEICE TRANSACTIONS on Communications   Vol.E90-B   No.2   pp.342-345
Publication Date: 2007/02/01
Online ISSN: 1745-1345
DOI: 10.1093/ietcom/e90-b.2.342
Print ISSN: 0916-8516
Type of Manuscript: LETTER
Category: Fundamental Theories for Communications
optical packet switching,  optical burst switching,  on-off traffic,  Markov chains,  

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In this letter, we study the blocking probabilities in an asynchronous optical packet/burst switching system with full wavelength conversion. Most of the existing work use Poisson traffic models that is well-suited for an infinite population of users. In this letter, the optical packet traffic arriving at the switching system is modeled through a superposition of a finite number of identical on-off sources. We propose a block tridiagonal LU factorization algorithm to efficiently solve the two dimensional Markov chain that arises in the modeling of the switching system.