modelling and analysis of a discrete-time priority queuing computer network with priority jumps using probability generating functions

priority queues have a great importance in the study of computer communication networks in which different types of traffic require different quality of service standards. the discrete-time non-preemptive priority queuing model with priority jumps is proposed in this paper. on the basis of probability generating functions mean system contents and mean queuing delay characteristics are obtained. the effect of jumping mechanism is analysed which clearly shows that the queuing system provides better results when the fraction of class-1 arrivals in the overall traffic mix is small.