Priority queue with two state Markov modulated arrivals

In broadband ISDN (B-ISDN) with ATM, various kinds of traffic such as video, data, and voice share the common transmission resources, i.e. they are multiplexed into one transmission stream. We consider a single server priority queueing system with two priority classes of customers. This work is motivated by the need for a performance analysis of video and data multiplexing in a communication network, where video at the cell level arrive according to a two-state Markov modulated Poisson process (MMPP) and data arrive according to a Poisson process. With the supplementary variable method, we explicitly obtain the steady-state joint generating function of the queue lengths of each class. We also investigate the queue lengths of each class by a technique of Markov modulated fluid flow (MMFF). In comparison with the MMPP model, the MMFF model provides computationally simple procedures and results. Moreover, numerical results show that performance measures obtained with the MMFF model are quite close to those with the MMPP model