Jitter Analysis of an MMPP–2 Tagged Stream in the presence of an MMPP–2 Background Stream

We first consider a single–server queue that serves a tagged MMPP–2 stream and a background MMPP–2 stream in a FIFO manner. The service time is exponentially distributed. For this queueing system, we obtain the CDF of the tagged inter-departure time, from which we can calculate the jitter, defined as a percentile of the inter–departure time. The formulation is exact, but the solution is obtained numerically, which introduces an error that has been found to be negligible. Subsequently, we consider a tandem queueing network consisting of N which is traversed by the MMPP–2 tagged stream, and where each queue also serves a local MMPP–2 background stream.For this queueing network, we obtain an upper bound of the CDF of the inter–departure time from the Nth queue using a heavy traffic approximation and verify it by simulation.