PARTIAL ASYMPTOTIC ANALYSIS METHOD FOR TWO-CLASS RETRIAL QUEUE WITH CONSTANT RETRIAL RATE

In the paper, a single-server retrial queueing system with two types of arrivals and a constant retrial policy is considered as a mathematical model of a multimodal telecommunication network. Service, inter-arrival and inter-retrial times have exponential distributions. The constant retrial policy means that only the first customer from an orbit performs an attempt to get a service. The method of partial asymptotic analysis under a condition of a heavy load of one class of customers is proposed. The formula for the asymptotic characteristic function of the stationary marginal probability distribution of the number of customers of one class is derived. In addition, the system stability conditions are discussed. Some numerical examples are presented.