Analysis of an ATM multiplexer with correlated periodic real-time and independent batch Poisson nonreal-time traffic

An alternative traffic model for an asynchronous transfer mode (ATM) multiplexer providing video, voice, and data services is presented. The traffic model categorizes input traffic to the ATM multiplexer into two types, real-time and nonreal-time, with the real-time traffic being periodic and correlated and the nonreal-time traffic being batch Poisson and independent. This multiplexer is assumed to be a queuing system with synchronous servers operating on time-slot basis and with two separate finite buffers for each type of traffic. State probabilities and performance measures are successfully obtained, using a Markov analysis technique and an application of the residue theorem in complex variable. The results can be applied in the design of an ATM multiplexer