Modelling the output process of an ATM multiplexer with correlated priorities

In this paper, we introduce a procedure for modelling the output process of a finite discrete time queue with selective discard mechanism loaded with a prioritized discrete-time batch Markovian arrival process 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 D-BMAP/sup [H,L]/ flows.