Journal of Applied Mathematics and Decision Sciences
Volume 2007 (2007), Article ID 68280, 10 pages
A Paradox in a Queueing Network with State-Dependent Routing and Loss
Department of Statistics, The University of Auckland, Private Bag 92019, Auckland 1142, New Zealand
Received 25 May 2007; Accepted 8 August 2007
Academic Editor: Paul Cowpertwait
Copyright © 2007 Ilze Ziedins. 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.
Consider a network of parallel finite tandem queues with two stages, where each arrival attempts to
minimize its own cost due to loss. It is known that the user optimal and asymptotic system optimal policies
may differ—we give examples showing that they may differ for finite systems and that as the service
rate is increased at the second stage the user optimal policy may change in such a way that the total expected
cost due to loss increases.