Abstract
This paper deals with priority queue with general bulk service rule. Priority and non-priority units are served by two identical servers. If a priority unit on arrival finds that (i) both the servers are busy, it balks and is considered lost to the system, (ii) one or both servers are free, it immediately goes to selvice. The non-priority units are served only when both the servers are free. Arrival of units are taken in batches of variable size whereas the service process follows general bulk service rule. Laplace transforms of generating functions of probabilities are obtained. The expressions for the steady-state probabilities and the mean queue length in the system are obtained.
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