PRIORITY QUEUE WITH 2-STATE MARKOV-MODULATED ARRIVALS

The authors consider a single server priority queueing system with two priority classes of customers. The work is motivated for performance analysis of multiplexing video and data in communication networks, whe re videos at cell level arrive according to a two-state Markov-modulat ed Poisson process (MMPP) and data arrive according to a Poisson proce ss. With the supplementary variable method, the authors explicitly obt ain the steady-state joint generating function of the queue lengths of each class. They 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 procedu res and results. Numerical results show that performance measures obta ined with the MMFF model are quite close to those with the MMPP model.