An Exact and Efficient Analytical Model For the ON/OFF Burst Traffic

This paper introduces an efficient analytical model to evaluate the system performance in a finite buffering queueing node by considering homogenous Markov modulated ON/OFF input sources. We formulate the MMPP/M/c models with finite buffer size and multi-servers, then we introduce an efficient tridiagonal LU factorization method to compute the quantities of interest. As we will show, applying the block tridiagonal LU factorization algorithm considerably reduces the computational complexity involved. The proposed approach can be used to determine the traffic congestion and other performance parameters in teletraffic networks and is useful in evaluating the resources needed in a network node given the loss probability as the quality of service requirement. This model may be applied to analyze performance of a optical burst switch node and other cases where burst traffic and multi-server with finite buffer size are considered.