AN ANALYSIS OF A TWO-STATE RETRIAL QUEUE WITH IMPATIENT CUSTOMERS

In the present paper, a single server retrial queueing model with impatient customers is considered. If the server is busy at arrival epoch then the arriving customer decides to join the retrial orbit with certain probability. Upon retrial, the customer immediately receives service if the server is idle, otherwise may enter the orbit again or leave the system because of impatience. The primary calls and repeating calls follow Poisson distribution. Service times are exponentially distributed. Time dependent probabilities of exact number of arrivals and departures when the server is free or busy from the system are obtained by solving the difference-differential equations recursively. Some system performance measures are computed. Numerical illustrations are also presented with potential applications.