The recursive solution for Geom/G/1(E, SV) queue with feedback and single server vacation

Using recursive method, this paper studies the queue size properties at any epoch n (+) in Geom/G/1(E, SV) queueing model with feedback under LASDA (late arrival system with delayed access) setup. Some new results about the recursive expressions of queue size distribution at different epoch (n (+), n, n (-)) are obtained. Furthermore the important relations between stationary queue size distribution at different epochs are discovered. The results are different from the relations given in M/G/1 queueing system. The model discussed in this paper can be widely applied in many kinds of communications and computer network.