Department of Mathematics V.S.S.D. College, Kanpur (India)

In this section we consider a bulk service GI/M(a,b)/1 Queue with multiple exponential Vacations. customers are served in batches according to the bulk service rule, in which at least a customers are needed to start a service and the maximum capacity of each service is b. When the server finishes a service and finds fewer than a customers in the system, he takes a vacation. When the server returns from a vacation and finds fewer than a customers in the system, the server immediately takes another vacation and continuous in this manner until the server finds at least a customers in the system.