Discrete-time retrial queue with general retrial times
1. Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China; 2. Mathematics Department of Chaohu Institute, Chaohu Anhui 238000, China）
Abstract：We analyze a discrete-time Geo^[X]/G/1 retrial queue where the retrial time has a general distribution, and the server, after each service completion, begins a process of search in order to find the following customer to be served. We assume that the customers who find the server busy are queued in the orbit in accordance with an FCFS discipline and only the customer at the head of the queue is allowed for access to the server. We derive analytical results for the queue length distribution as well as some performance measures of the system under steady state condition. It is proved that the M^[X]/G/1 retrial queue with general retrial times can be approximated by our corresponding discrete-time system.
2008, Vol. 29 
