Transient states of priority queues - QoS issues in wireless networks via diffusion approximation

The article makes a contribution to QoS of service models discussing the way the performance of priority disciplines may be studied under assumption of time-dependent and correlated traffic. First we present how self-similar traffic is introduced to diffusion approximation models and then we apply this approach in case of priority queues. Diffusion approximation allows us to include in queueing models fairly general assumptions. It gives us a tool to consider in a natural way transient states of queues, which is vary rare in classical queueing models. Then we may consider input streams with general interarrival time distributions and servers with general service time distributions. Single server models may be easily incorporated into the network of queues. The presented approach may be useful in performance evaluation of mechanisms to differentiate the quality of service in WiMax.