Modelling the output process of an ATM multiplexer with correlated priorities

The traffic in the future Broadband Integrated Digital Networks will be highly correlated and neglecting these correlations leads to a dramatic underestimation of performance. Being able to accurately estimate end-to-end performance is of paramount importance for traffic control. The purpose of this paper is to introduce a procedure for modeling the output process of a finite discrete time queue with selective discard mechanism loaded with a prioritized Discrete-time Batch Markovian Arrival Process (D-BMAP [H,L]) in which the priority level of a cell depends on the priority level of other cells in the flow. We show through numerical examples that this procedure is reasonably accurate. Moreover, we introduce a framework for the analysis of queueing networks with prioritized Markov Modulated flows.