On the performance of multiplexers with three-state bursty sources: analytical results

In this paper, we consider a statistical multiplexer model with infinite buffer capacity and a finite number of independent identical bursty traffic sources. The burstiness of the sources is captured by assuming a mixture of two geometrics for the distribution of the active periods and a geometric distribution for the passive periods of the sources. The queueing performance of the multiplexer is studied in this paper using analytical techniques, which results in closed-form expressions for the mean and the tail distribution of the buffer contents and the packet delay. The results of the study are applied to investigate the influence of the variance of the active periods of the traffic sources on multiplexer performance. It is observed that, for a given "mean burstiness", increasing the variance of the active periods leads to a significant increase of the buffer requirements.<>