Title :
Stability of acyclic multiclass queueing networks
Author :
Down, D. ; Meyn, S.P.
Author_Institution :
Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA
fDate :
5/1/1995 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
