Scaling limits of a tandem retrial queue with common orbit and Poisson arrival process

Anatoly Nazarov, Svetlana Paul, Tuan Phung-Duc, Maria Morozova
In this paper, we consider a tandem queueing system with one orbit, Poisson arrival process of incoming calls and two sequentially connected servers by a method of asymptotic analysis involving the existence of a steady-state regime. We use the asymptotic condition of unlimited increase of the average delay time of calls in the orbit and obtain the limiting probability distribution of the number of calls there. Then we evaluate the applicability of analytical results by the simulation.