A Finite Capacity Priority Queue with Discouragement

In this paper we report on a study of a two level preemptive priority queue with balking and reneging for lower priority level. The inter-arrival and the service times for both levels follow exponential distribution. We use a finite difference equation approach for solving the balance equations of the governing queuing model whose states are described by functions of one independent variable. Hence the balance equations may be viewed as a set of simultaneous difference equations and can be solved by using appropriate techniques.