MAP- and BMAP-flows in traffic models of telecommunication systems

Models of single-channel queueing systems with arbitrary correlated input streams are considered. For these systems, generalizations of the Khinchin - Pollachek formula are given, an interval model of the video traffic input stream is considered, and the influence of its parameters on the average size of the queues is determined. The insufficient efficiency of applying self-similar process models to the analysis of queues in telecommunication systems is shown. The prospects of using the interval methods of queue analysis developed by the author in queueing systems with correlated input flows is shown. The evolution of flow models controlled by the Markov chain, including MAP and BMAP flows, is considered. The possibilities of using Markov flows as traffic models in telecommunication systems are considered. By means of an example, the equivalence of such models’ characteristics to the characteristics of the real flows of video traffic is shown. The conclusions are confirmed by the results of simulation modeling.