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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.
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
URL: http://www.jstor.org/stable/3215621