A special cyclic-waiting queueing system with refusals (Q1848044)

The author studies a cyclic-waiting system in which the service of two types of customers may enter. They constitute Poisson process, and service time-distributions are exponential. In the system, only one customer of the first type can be present, and it can only be accepted for service in case of a free system. All other customers of the first type are refused, and there is no restriction on customers of the second type. The main result is the generating function of equilibrium distribution.