A Control Policy for a Priority Queue with Removable Server

This paper studies a control policy for an M/G/1 nonpreemptive-priority queuing system with removable server and two priority classes. This policy turns off the server when the system is empty and turns him on when a given linear combination of the numbers of class 1 and class 2 customers in the system exceeds a certain value. Expressions for the long-run average numbers of class 1 and class 2 customers in the system are derived.