STABILITY OF ACYCLIC MULTICLASS QUEUING-NETWORKS

Authors
DOWN D MEYN SP
Citation
D. Down et Sp. Meyn, STABILITY OF ACYCLIC MULTICLASS QUEUING-NETWORKS, IEEE transactions on automatic control, 40(5), 1995, pp. 916-919
Citations number
25
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on automatic control → ACNP
ISSN journal
00189286
Volume
40
Issue
5
Year of publication
1995
Pages
916 - 919
Database
ISI
SICI code
0018-9286(1995)40:5<916:SOAMQ>2.0.ZU;2-W
Abstract
In this note we study multiclass queueing networks with fluid arrival streams and service processes. Assuming that the arrival rate does not exceed the network capacity, we deduce stability of the network using the tools of ergodic theory. We show that the distributions of the pr ocess converge to a unique steady state value and that convergence tak es place at a geometric rate under appropriate moment conditions.