A nonpreemptive priority multiserver queueing system with general bulk service and heterogeneous arrivals

In this paper a multiserver nonpreemptive priority queueing system consisting of two types of customer units with Poisson arrival and exponential service time distribution is analysed. The lower priority units are served in batches according to a general bulk service rule. The higher priority units have nonpreemptive priority over lower priority units. The higher priority units are served singly. The steady state probability vectors of the number of customers in the queue are obtained using the modified matrix-geometric method. The stability condition and mean queue length of customers are obtained. Numerical results are also presented.