The M/G/1 retrial queue with feedback and starting failures

摘要

This paper discusses a retrial queue with Bernoulli feedback, where the server is subjected to starting failure. The retrial time is assumed to follow an arbitrary distribution and the customers in the orbit access the server under FCFS discipline. The necessary and sufficient condition for the stability of the system is derived. Various performance measures are obtained. Some numerical results are illustrated. The general decomposition law is shown to hold good for this model also. Some of the existing results are deduced as special cases.