Closed-form expected queueing times of a tandem system with finite intermediate buffer: a recursive approach

AbstractIn this paper we deal with a two-station tandem queueing system incorporating a finite intermediate buffer between the stations. Blocking occurs when a customer is momentarily stopped at the first station owing to a capacity limitation of the second station having been reached. We assume general input and exponentially distributed service times. We observe that it is possible to calculate the conditional expected queueing times at the first station (conditioned on the system state just before an arrival epoch), recursively, and we give closed-form expressions for them