Statistical multiplexing of VBR sources: A matrix-analytic approach

In this paper we propose a versatile point process as 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 (D-BMAP). Its use leads to computationally tractable and accurate solutions for various performance measures of the related statistical multiplexer: buffer occupancy distribution, cell loss probability, conditional cell loss probability. Moreover it is shown that the output process of the multiplexer belongs to the same class of processes.