A Discrete Time Geo/G/1 Queue with Feedback, Balking and General Retrial Times

We consider a discrete-time Geo/G/1 retrial queue with feedback, balking customers, and general retrial times. If a new arriving customer finds the server busy, he may depart immediately from the system or join the orbit. After service completion, the customer decides either to join the orbit for another service or leaves the system completely. We analyze the Markov chain underlying the considered queueing system and present some performance measures of the system in steady-state. Numerical results show how sensitive the system performance measures are when parameters of the system change.