A two-state multiserver retrial queueing model with balking

Abstract

Abstract This paper discusses a two-state multiserver retrial queueing system with balking. Entering customer is admitted to join any idle server and receive his service immediately. On the other hand, if all the servers are busy, then the entering customer joins the orbit or balks from the system. Arrival of primary calls and repetition of repeating calls both follow Poisson distribution. Service times of each server follow exponential distribution. By solving the difference-differential equations recursively, we obtained transient probabilities of exact number of arrivals and exact number of departures at when all some or none servers are busy. Results for particular cases are also discussed.