An Analytical Paradigm to Calculate Multiplexer Performance in an ATM Multimedia Environment

In this paper a finite-buffer discrete-time approach is presented in order to analyze the performance of a multiplexer loaded by N multimedia sources. For this purpose the emission process of each multimedia source is defined as the superposition of heterogeneous correlated emission processes, each of which models one monomedia source as a Switched Batch Bernoulli Process (SBBP). In order to model the intermedia relationships, the Markov chain underlying each SBBP consists of a 2-state process where the transition probabilities are functions of the states of the other monomedia sources. Correlation functions are derived for each monomedia source as well as for the multimedia source as a whole. The proposed analytical model is used to calculate the loss probability and the delay jitter pdf for each media in an ATM multimedia multiplexer structure. The effectiveness of the proposed paradigm is shown by means of various examples in a case study.