Performance Analysis of a Two-State Queueing Model with Retrials (original) (raw)

In this paper, a single server retrial queueing model is studied. The primary arrivals follow Poisson distribution. In case of blocking, the customer leaves the service area but returns after some random amount of time to try his luck again. The repeating calls also follow Poisson distribution when they retry for service from orbit (virtual queue). Service times are exponentially distributed. Time dependent probabilities of exact number of arrivals and departures at when the server is free or busy from the system are obtained by solving the difference-differential equations recursively. Some important performance measures of this model are evaluated. The numerical results are obtained and represented graphically.