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In this paper, the authors study the asymptotic behavior of an AQM router serving many AIMD flows. Their model for the AQM router is general and covers most AQM schemes in the current literature. They use a window-based model for the AIMD flows. When the number of AIMD flows is large, they show that the system converges point wise to a limit model. Further, under certain technical conditions, they prove that the system converges uniformly in time and that a steady state exists. They, then study the steady state of the system. They show that using appropriate feedback control, the backward accumulation process of net input to the router can be bounded.
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