Performance modeling of an ATM multiplexer with heterogeneous speed links

This paper presents analyses to study the persession performance of an ATM multiplexer which finds application in call admission control (CAC). We consider a scenario where a switching node is non-blocking and output buffered, links are of different speeds and the traffic is bursty with correlated arrivals. We model the session of interest as a Markov modulated Bernoulli process (MMBP) and the interfering traffic as an MMBP with batch arrivals. We propose an efficient method to obtain the exact steady-state performance results of a session. An approximation technique is also presented. This method could also be used to analyze any Markov renewal traffic model such as discrete-batch Markovian arrival process (D-BMAP), and study the transient behavior of a session