An approximate model for the output process of an ATM multiplexer with selective discard mechanism

We introduce a procedure for modelling the output process of a finite buffer discrete-time queue with selective discard mechanism loaded with a discrete-time batch Markovian arrival process (D-BMAP^[H,L]/D/1/K). The procedure matches the output process long-term index of dispersion for counts and correlation of the number of arrivals in consecutive slots with the same statistics of a prioritized two-state Markov modulated Bernoulli process (MMBP{H,L]}. We show through numerical examples that this procedure is accurate. We also introduce a framework for the analysis of queueing networks with prioritized Markov modulated process