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

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QB = L<strong>in</strong>k bandwidth (RT T ; T )<br />

and <strong>the</strong> maximum queue dra<strong>in</strong>dur<strong>in</strong>g<strong>the</strong>idle period is:<br />

QD = L<strong>in</strong>k bandwidth T<br />

Observe that QD > QB when T > RT T ; T , i.e., when <strong>the</strong> idle period<br />

T >RTT=2<br />

In o<strong>the</strong>r words, <strong>the</strong> backlogs build up only when <strong>the</strong> idle periods become smaller<br />

than RT T=2. From <strong>the</strong> nature of TCP tra c, we know that <strong>in</strong>itially <strong>the</strong> idle<br />

times are large, and <strong>the</strong>n <strong>the</strong>y reduce <strong>in</strong> size exponentially. When <strong>the</strong> idle time<br />

becomes smaller than RT T=2, <strong>the</strong> maximum queue backlog <strong>in</strong> each cycle (till<br />

<strong>the</strong> l<strong>in</strong>k becomes fully loaded) is L<strong>in</strong>k Bandwidth (RT T ; 2T ). But, observe<br />

that such abacklog can be created only once. This is because a burst needs to<br />

have an idle time T which satis es 0

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