Abstract
This paper deals with the stability study of multiclass open queueing networks under the FIFO (first in first out) discipline. It is known that the natural traffic intensity condition $\rho < 1$ is necessary, but not sufficient for stability of these networks. We introduce a Jackson-type property for the transition probabilities of multiclass networks and show that if a network satisfies this property, then the traffic intensity condition characterises its stability region. Our approach is based on the analysis of the corresponding fluid network.
Original language | English |
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Pages (from-to) | 461-486 |
Number of pages | 26 |
Journal | Markov Processes and Related Fields |
Volume | 2 |
Issue number | 3 |
Publication status | Published - 1996 |