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

Kevin D. Glazebrook and José Niño-Mora

Economics Working Papers from Department of Economics and Business, Universitat Pompeu Fabra

Abstract: 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.

Keywords: Multiclass queueing networks; stability; fluid model; Lu-Kumar network (search for similar items in EconPapers)
JEL-codes: C60 C61 (search for similar items in EconPapers)
Date: 1997-01, Revised 2000-01
New Economics Papers: this item is included in nep-ind
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:upf:upfgen:429

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