The Method of Marginal Asymptotic-Diffusion Analysis for Multiclass Retrial Queues

In the paper, a single-server retrial queueing system with heterogeneous customers is considered. Customers of a finite number of classes arrive to the system in the Poisson stationary processes. Service times and inter-retrial times have exponential distributions with the rates depending on the customers class. A stationary probability distribution of the number of customers of each class in the orbit is found by the new method of marginal asymptotic-diffusion analysis under the condition of a long delay of customers in the orbit.