Abstract
The authors propose a versatile point process as a model for a large class of variable bit rate sources and their superpositions. The process belongs to the class of discrete-time batch Markovian arrival processes. Its use leads to computationally tractable and accurate solutions for the following performance measures of the related statistical multiplexer: buffer occupancy distribution, cell loss probability, and conditional cell loss probability. It is shown that the output process of the multiplexer belongs to the same class of processes.

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