@techreport{TR-IC-96-12, number = {IC-96-12}, author = {Fonseca, Nelson L. S. and Silvester, John A.}, title = {Modelling the Output Process of an {ATM} Multiplexer with Correlated Priorities}, month = {August}, year = {1996}, institution = {Institute of Computing, University of Campinas}, note = {In English, 25 pages. \par\selectlanguage{english}\textbf{Abstract} The traffic in the future Broadband Integrated Digital Networks is 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 his procedure is reasonably accurate. Moreover, we introduce a framework for the analysis of queueing networks with prioritized Markov Modulated flows. } }