3.
We consider a discrete-time stochastic model of an ECN/RED gateway where competing TCP sources share the link capacity. As
the number of competing flows becomes large, the asymptotic queue behavior (normalized by the number of flows) at the gateway
can be described by a simple recursion and the throughput behavior of individual TCP flows becomes asymptotically independent.
A Central Limit Theorem complement is also presented, yielding a more accurate characterization of the asymptotic queue size.
These results suggest a scalable yet accurate model of this complex large-scale stochastic feedback system, and crisply reveal
the sources of queue fluctuations.
This work was prepared through collaborative participation in the Communications and Networks Consortium sponsored by the
U.S. Army Research Laboratory under the Collaborative Technology Alliance Program, Cooperative Agreement DAAD19-01-2-0011.
This work was also supported by the Space and Naval Warfare Systems Center—San Diego under Contract No: N66001-00-C-8063.
The views and conclusions contained in this document are those of the authors and should not be interpreted as representing
the official policies, either expressed or implied, of the Army Research Laboratory or the U.S. Government.
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