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 under the steady-state regime. Under the condition that the average delay time of calls in the orbit is extremely large, we obtain the limiting probability distribution of the number of calls there. Then we evaluate the applicability of asymptotic results by the simulation.
Распределенные компьютерные и телекоммуникационные сети: управление, вычисление, связь DCCN-2021 [Электронный ресурс] : материалы XXIV Международной научной конференции (20-24 сентября 2021 г., Москва, Россия). М., 2021. С. 315-321