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Assessing an intuitive condition for stability under a range of traffic conditions via a generalised Lu-Kumar network

Lookup NU author(s): Professor Kevin Glazebrook


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We argue the importance both of developing simple sufficient conditions for the stability of general multiclass queueing networks and also of assessing such conditions under a range of assumptions on the weight of the traffic flowing between service stations. To achieve the former, we review a peak-rate stability condition and extend its range of application and for the latter, we introduce a generalisation of the Lu-Kumar network on which the stability condition may be tested for a range of traffic configurations. The peak-rate condition is close to exact when the between-station traffic is light, but degrades as this traffic increases.

Publication metadata

Author(s): Nino-Mora J, Glazebrook KD

Publication type: Article

Publication status: Published

Journal: Journal of Applied Probability

Year: 2000

Volume: 37

Issue: 3

Pages: 890-899

ISSN (print): 0021-9002

ISSN (electronic): 1475-6072

Publisher: Applied Probability Trust