Asymptotic-Diffusion Analysis of Multiserver Retrial Queue with Two-Way Communication

Anatoly Nazarov, Tuan Phung-Duc, Svetlana Paul, Olga Lizyura
In this paper, we consider multiserver retrial queue with two-way communication. Incomimg calls arrive according to the Poisson process and reserve the server for an exponentially distributed time. If all of the servers are busy the incoming call joins the orbit and makes a delay for an exponentially distributed time before the next attempt to occupy the server. Idle servers also make outgoing calls following a distinct exponential distribution. Using the asymptotic-diffusion analysis method we derive the approximation for the stationary probability distribution of the number of calls in the orbit.