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

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  • Kevin D. Glazebrook
  • José Niño-Mora
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    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.

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    File URL: http://www.econ.upf.edu/docs/papers/downloads/429.pdf
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    Bibliographic Info

    Paper provided by Department of Economics and Business, Universitat Pompeu Fabra in its series Economics Working Papers with number 429.

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    Date of creation: Jan 1997
    Date of revision: Jan 2000
    Handle: RePEc:upf:upfgen:429

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    Web page: http://www.econ.upf.edu/

    Related research

    Keywords: Multiclass queueing networks; stability; fluid model; Lu-Kumar network;

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