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Traffic Management for the Available Bit Rate (ABR) Service in ...

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6.22.4 Fairness<br />

Figure 6.9: Park<strong>in</strong>g lot con guration<br />

Two con gurations are used <strong>for</strong> study<strong>in</strong>g <strong>the</strong> fairness of <strong>the</strong> scheme: <strong>the</strong> park<strong>in</strong>g<br />

lot con guration and <strong>the</strong> upstream con guration. The park<strong>in</strong>g lot con guration and<br />

its name were derived from <strong>the</strong>atre park<strong>in</strong>g lots, which consist of several park<strong>in</strong>g areas<br />

connected via a s<strong>in</strong>gle exit path. At <strong>the</strong> end of <strong>the</strong> show, congestion occurs as cars<br />

exit<strong>in</strong>g from each park<strong>in</strong>g area try to jo<strong>in</strong> <strong>the</strong> ma<strong>in</strong> exit stream.<br />

For computer networks, an n-stage park<strong>in</strong>g lot con guration consists of n switches<br />

connected <strong>in</strong> series. There are n VCs. The rst VC starts from <strong>the</strong> rst switch and<br />

goes through all <strong>the</strong> rema<strong>in</strong><strong>in</strong>g switches. For <strong>the</strong> rema<strong>in</strong><strong>in</strong>g VCs, <strong>the</strong> i th VC starts<br />

at <strong>the</strong> i ; 1 st switch. The l<strong>in</strong>k between <strong>the</strong> last two switches is <strong>the</strong> bottleneck l<strong>in</strong>k.<br />

The max-m<strong>in</strong> allocation <strong>for</strong> each VCis1/n of <strong>the</strong> bandwidth. A 3-switch park<strong>in</strong>g lot<br />

con guration is shown <strong>in</strong> gure 6.9. Figure 6.15 illustrates that ERICA achieves <strong>the</strong><br />

desired max-m<strong>in</strong> allocation.<br />

Although <strong>the</strong> park<strong>in</strong>g lot con guration had been believed to test fairness, we<br />

discovered that it is not su cient to demonstrate max-m<strong>in</strong> fairness, and a more<br />

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