నైరూప్య

MX/G/1 Retrial queue with second optional service, feedback, admission control and vacation

D. Sumitha, Dr.K.Udaya Chandrika

Single server batch arrival retrial queue with two phases of heterogeneous service and controllable arrival is analysed. If the server is idle, one of the customers in the batch admitted to the system receives the service immediately and the rest join the orbit, otherwise all the admitted customers enter the orbit. All the customers demand the first essential service, whereas only some of them opt for second optional service. After completion of essential or optional service if the customer is dissatisfied with the service he may join the orbit as a feedback customer. After completion of the optional service the server may go for a single vacation or remain idle in the system. Steady state analysis is performed and stability conditions are established. Results for particular cases are deduced. The stochastic decomposition property is verified.