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Semi-Experiments and the Modelling of Internet Traffic - SAMSI

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Similar ‘Biscaling’ in both Y <strong>and</strong> X for TCP Flows, Connected?<br />

Y<br />

X<br />

log 2<br />

Var( d j<br />

)<br />

16<br />

14<br />

12<br />

10<br />

8<br />

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

AUCK2<br />

AUCK4<br />

Var ( d j<br />

)<br />

30.5mus 977mus 0.031 1 32 1024<br />

10<br />

8<br />

6<br />

4<br />

AUCK−a0<br />

AUCK−b0<br />

AUCK−c0<br />

AUCK−c1<br />

AUCK−d0<br />

AUCK−d1<br />

UNC−a0<br />

UNC−a1<br />

Abilene<br />

Mel ISP−1<br />

Mel ISP−2<br />

Mel ISP−3<br />

2<br />

6<br />

(a)<br />

0<br />

4<br />

−6 −4 −2 0 2 4 6 8 10<br />

j = log 2<br />

( a )<br />

−15 −10 −5 0 5 10<br />

j = log 2<br />

(a)<br />

Observations for both X, Y<br />

• Small scales: scaling behaviour?<br />

• Characteristic scale, ‘knee’: function <strong>of</strong> ?<br />

• Large scales: LRD, due to what?<br />

Connections between X, Y<br />

• Y ⊂ X<br />

• Structural: inter <strong>and</strong> intra-flow dependencies<br />

8

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