@techreport{TR-IC-97-02, number = {IC-97-02}, author = {Fonseca, Nelson L. S. and Silvester, John A.}, title = {Approximate Models for the Output Process of an {ATM} Multiplexer with Markov Modulated Input}, month = {January}, year = {1997}, institution = {Institute of Computing, University of Campinas}, note = {In English, 34 pages. \par\selectlanguage{english}\textbf{Abstract} The traffic in the future Broadband Integrated Digital Networks will be highly correlated and neglecting its correlations leads to a dramatic underestimation of its performance. In order to completly specify a queueing network framework we need to define the stochastic processes resulting from the departure of a queue splitting and merging. In this paper we introduce a procedure for modeling the output process of a multiplexer with Markov modulated input and extend this procedure to model ATM multiplexers with selective discard mechanism. Moreover we show frameworks for queueing networks with Markov modulated flows which can be used to estimate end-to-end performance in ATM networks. } }