Retrial Queuing System M[n]/M/1 with Feedback and Impatient Customers

This paper studies a M[n]/M/1 retrial queuing system with batch arrival process, feedback and impatient customers. The waiting time in the orbit and the patience time of the customers have exponential distributions. The problem is to find the probability distribution of the customer quantity in the orbit. A method of asymptotic analysis under the long patience time condition is proposed for solving an equations system to obtain the stationary probability distribution. It is proved that the asymptotic distribution is normal, the parameters of this distribution are obtained.