To optimize the networks control in telecommunication, we consider an M^X / G / 1 retrial queue with impatient customers. By using the method of supplementary variables, we obtain the partial generating functions of the steady state joint distribution of the server state and the number of customers in the retrial group is obtained. To complete the analysis of the considered model, we find the steady state distribution of the embedded Markov chain. We investigate the stochastic decomposition property. Although the generating function of the steady state distribution of the number of customers in the retrial group can be obtained in explicit form, it is cumbersome and does not reveal the nature of the distribution in question. Therefore, we investigate the asymptotic behaviour of the random variable representing the number of customers in the retrial group and in the system under limit values of various parameters. We complete this work by numerical examples.
