Journal of Applied Mathematics and Stochastic Analysis
Volume 13 (2000), Issue 4, Pages 411-414
doi:10.1155/S1048953300000344
Abstract
We consider a Poisson arrival queueing system with finite capacity and a
general vacation policy as described in Loris-Teghem [Queueing Systems 3
(1988), 41-52]. From our previous results regarding the stationary queue
length distributions immediately after a departure and at an arbitrary
epoch, we derive a relation between both distributions which extends a
result given in Frey and Takahashi [Operations Research Letters 21
(1997), 95-100] for the particular case of an exhaustive service multiple
vacation policy.