Methodology for traffic modeling using two-state Markov-modulated Bernoulli process

In this paper, we systematically present the methodology of modeling bursty traffic sources using the 2-state Markov Modulated Bernoulli Process (call ed MMBP-2). The technique used can be easily extended to an rn-state MMBP t hough the numerical calculation is complicated. We first defined the parame ters of the model and some processes associated with it, and subsequently e xamined the queue length distribution of an infinite buffer driven by an MM BP-2 with batch arrivals. We next looked at the case where the same buffer is fed by a group of two identical MMBP-2 sources. Instead of deriving the queue length expression, we cast the problem in the framework of the previo us case and made use of the previous results with some modification. Lastly , we looked at the case of a finite buffer driven by two MMBP-2 sources wit h different parameters. We formulated the queue length solution in the fram ework of Markov theory and calculated the Cell Loss Probability (CLP) for t his case. (C) 1999 Elsevier Science B.V. All rights reserved.