Single line queue with repeated demands (Q749050)

The authors deal with a single server system with Poisson demand and general service time in which, if the server is free at the instant of an arrival, service commences immediately. Otherwise, the unsatisfied customer enters the orbit and can seek service at subsequent epochs, until he finds the server free and then enters service. Three types of orbit discipline are considered, in each of which the times between arrival of repeat requests turns out to be exponentially distributed. Steady state operating characteristics such as average orbit size and average waiting time are calculated.