Congestion in large balanced multirate links
Résumé
In this paper we obtain approximations for various
performance measures in a multirate link sharing bandwidth
under an insensitive sharing mechanism called balanced fairness.
Balanced fairness can be viewed as the large system limit of
proportional fairness. For a large system, we obtain closed form
expressions for the calculation of long run fraction of time that
the system is congested, the probability that an arriving flow will
not obtain its maximum bit rate and the average fraction of time
that an arriving flow is not allocated its maximum bit rate while
in the system. The techniques are based on local limit theorems
for convolution measures.
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