Fast Approximate Analysis
of an ATM Multiplexer

S. Montagna, R. Paglino, and J. F. Meyer


The performance of a statistical ATM multiplexer is analyzed with respect to its buffer occupancy distribution. The presumed traffic consists of classes of ON/OFF sources that are distinguished by peak rate, activity, and burstiness. The homogeneous (single-class) case is considered first, where a fast, yet accurate method is developed for approximating the steady-state occupancy probabilities. Multiple classes are then addressed, maintaining an assumption of homogeneity for peak rates only. By appropriately extending the underlying model, a generalized version of the method likewise provides accurate results. Moreover, it remains computationally efficient if the number of number of traffic classes is reasonable.

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