A new approach in the transient analysis of ATM multiplexers with bursty sources

This paper focuses on the discrete time transient analysis of an ATM multiplexer, where the arrival process consists of the superposition of the traffic generated by independent binary Markov sources. In particular we propose a new approach in the derivation of the transient marginal probability generating function of the buffer content. From this, time-dependent performance measures such as mean, variance and distribution of the queue length can be derived. Further, the transient analysis allows us to derive closed form expressions for the steady-state probability generating function of the queue length and its corresponding first moments.