Journal of Applied Mathematics and Stochastic Analysis
Volume 13 (2000), Issue 4, Pages 411-414
doi:10.1155/S1048953300000344
On finite capacity queueing systems with a general vacation policy
University of Mons-Hainaut, Department of Applied Mathematics, Place Waocqué, Monz 17 B-7000, Belgium
Received 1 December 1999; Revised 1 May 2000
Copyright © 2000 Jacqueline Loris-Teghem. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.