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Assessing an intuitive condition for stability under a range of traffic conditions via a generalised Lu-Kumar network
Glazebrook, Kevin D.; Niño-Mora, José
Universitat Pompeu Fabra. Departament d'Economia i Empresa
We argue the importance both of developing simple sufficientconditions 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.
15-09-2005
Operations Management
multiclass queueing networks
stability
fluid model
lu-kumar network
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