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    On the behavior of ECN/RED gateways under a large number of TCP flows: Limit theorems

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    TR_2005-80.pdf (275.0Kb)
    No. of downloads: 510

    Date
    2005
    Author
    Tinnakornsrisuphap, Peerapol
    Makowski, Armand M.
    Advisor
    Makowski
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    Abstract
    We consider a stochastic model of an ECN/RED gateway with competing TCP sources sharing the capacity. As the number of competing flows becomes large, the asymptotic queue behavior at the gateway can be described by a simple recursion and the hroughput behavior of individual TCP flows becomes asymptotically independent. In addition, a Central Limit Theorem complement is presented, yielding a more accurate characterization of the asymptotic queue. These results suggest a scalable yet accurate model of the complex large-scale stochastic feedback system, and crisply reveal the sources of queue fluctuations.
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    http://hdl.handle.net/1903/6543
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    • Institute for Systems Research Technical Reports

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