THE DEPARTURE PROCESS OF THE M/G/1 QUEUING MODEL WITH SERVER VACATION AND EXHAUSTIVE SERVICE DISCIPLINE

Is this paper we study the departure process of M/G/1 queueing models with a single server vacation and multiple server vacations. The arguments employed are direct probability decomposition, renewal theory and the Laplace-Stieltjes transform. We discuss the distribution of the interdeparture time and the expected number of departures occurring in the time interval (0, t] from the beginning of the state i (i = 0, 1, 2...), and provide a new method for analysis of the departure process of the single-server queue.