A new theoretical approach for the transient and steady-state analysis of multiserver ATM multiplexers with correlated arrivals

The paper focuses on the analysis of a multiserver (c>0) ATM multiplexer, where the arrival process consists of the superposition of the traffic generated by independent binary Markov sources. In particular, the authors propose a new approach in the derivation of the transient joint/marginal probability generating functions of the buffer content and the number of active sources. From these, time-dependent performance measures such as mean, variance and distribution of the queue length can be derived. Further, the transient analysis allows to derive closed form expressions for the steady-state probability generating functions of the queue length, packet delay, as well as their corresponding first moments