Abstract
The authors present analytic results for a discrete-time nonpreemptive priority queuing system which can be used to model ATM (asynchronous transfer mode)-based multimedia communication systems which give different priorities to various types of traffic. In addition to specifying the average waiting times, they provide a closed-form solution for the queuing system delay. Thus, higher order moments and probability mass function of delay can be obtained and used to evaluate the performance for delay constrained traffic. The derivation for the moment generating function of the time a customer spends in the system is presented. The results are briefly discussed. Although only the moment generating functions for class-1 and class-2 customers have been derived, the procedures developed can be used to extend the results to additional priority classes and can also be applied to preemptive priority queuing systems. >
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