Stability of acyclic multiclass queueing networks

Stability of acyclic multiclass queueing networks

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...

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Veröffentlicht in:IEEE transactions on automatic control 1995-05, Vol.40 (5), p.916-919
Hauptverfasser: Down, D., Meyn, S.P.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Continuous time systems
Convergence
Exact sciences and technology
Feedback
Markov processes
Network servers
Operational research and scientific management
Operational research. Management science
Performance analysis
Queueing analysis
Queuing theory. Traffic theory
Stability
Steady-state
Stochastic processes
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Zusammenfassung: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.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.384230