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Semi-Experiments and the Modelling of Internet Traffic - SAMSI

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<strong>Modelling</strong> a Typical Auckl<strong>and</strong> IV Trace<br />

0.0039 0.016 0.062 0.25 1 4 16 64 256 1024<br />

20<br />

18<br />

Data<br />

Model<br />

GR component<br />

Cluster component<br />

Poisson limit<br />

log 2<br />

Var( d j<br />

)<br />

16<br />

14<br />

12<br />

λ F<br />

µ P<br />

c<br />

10<br />

λ F<br />

µ P<br />

−8 −6 −4 −2 0 2 4 6 8 10 12<br />

j = log 2<br />

( a )<br />

∗ : j ∗ = − log<br />

GR 2 λ A + log 2 (π 2 (c + 1)/(3ɛc 2 ))<br />

✷ : j ∗∗ = − log<br />

PGR 2 λ A + 1<br />

2 − β (log 2 µ P − log 2 (2LB(β)) − log 2 c)<br />

38

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