AN M/G/1 RETRIAL QUEUE WITH SECOND OPTIONAL SERVICE AND MULTIPLE WORKING VACATION

In this paper, we study a single arrival retrial queue with second optional service and exponentially distributed multiple working vacation. The server gives service to clients, one by one, on a FCFS basis. Soon after fulfillment of his administration the client may select the second optional service with probability or the client may leave the framework without taking the second optional service with probability q(p + q = 1). After consummation of client's service if there is no client in the circle the server may take a numerous working vacation. Using supplementary variable method, we obtain the probability generating function for the number of customers in the orbit. Some particular cases are discussed.