DocumentCode
777964
Title
Stability of acyclic multiclass queueing networks
Author
Down, D. ; Meyn, S.P.
Author_Institution
Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA
Volume
40
Issue
5
fYear
1995
fDate
5/1/1995 12:00:00 AM
Firstpage
916
Lastpage
919
Abstract
In this paper 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 process converge to a unique steady state value and that convergence takes place at a geometric rate under appropriate moment conditions
Keywords
Markov processes; convergence of numerical methods; queueing theory; stability; Markov processes; acyclic multiclass queueing networks; arrival rate; convergence; ergodic theory; fluid arrival streams; geometric rate; moment conditions; service processes; stability; Continuous time systems; Convergence; Feedback; Markov processes; Network servers; Performance analysis; Queueing analysis; Stability; Steady-state; Stochastic processes;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.384230
Filename
384230
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