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This paper deals with single server retrial queueing model where in addition to regular arriving customers there are negative arrivals. Server provides M types of service. Positive customers arrive in batches according to Poisson process. If the server is idle upon the arrival of a batch, one of the customers in the batch receives any one of the types immediately and the rest join the orbit. Otherwise, the arriving batch joins the orbit. After completion of service, the customer may join the orbit as a feedback customer or depart the system. Negative arrival has the effect of removing the customer in service from the system. Performance analyses are obtained using supplementary variable technique. Stochastic decomposition law is verified and numerical results are also discussed.

Batch Arrival Retrial Queue with Negative Customers, Multi-optional Service and Feedback