24.11.2012 Views

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

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

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

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

The capacity unused by <strong>the</strong> underload<strong>in</strong>g VCs is divided equally among <strong>the</strong> over-<br />

load<strong>in</strong>g VCs. Thus, <strong>the</strong> fair share of <strong>the</strong> VCs is calculated as follows:<br />

Fair Share =<br />

Capacity ; P Bandwidth of underload<strong>in</strong>g VCs<br />

total number of VCs ; Numberofunderload<strong>in</strong>gVCs<br />

It is possible that that after this calculation some VCs that were previously un-<br />

derload<strong>in</strong>g with respect to <strong>the</strong> old fair share can become overload<strong>in</strong>g with respect to<br />

<strong>the</strong> new fair share. In this case <strong>the</strong>se VCs are re-marked as overload<strong>in</strong>g and <strong>the</strong> fair<br />

share is recalculated.<br />

Charny [17] has shown that two iterations are su cient <strong>for</strong> this procedure to<br />

converge. Charny also showed that <strong>the</strong> MIT scheme achieves max-m<strong>in</strong> optimality <strong>in</strong><br />

4k round trips, where k is <strong>the</strong> number of bottlenecks.<br />

4.5.2 Discussion<br />

The contributions of <strong>the</strong> MIT scheme were as follows:<br />

Help de ne <strong>the</strong> framework <strong>for</strong> explicit rate feedback mechanisms <strong>in</strong> <strong>the</strong> ATM<br />

<strong>ABR</strong> speci cations<br />

Provided a reference iterative algorithm<br />

Max-m<strong>in</strong> fairness is achieved because <strong>the</strong> underload<strong>in</strong>g VCs see <strong>the</strong> same ad-<br />

vertised rate<br />

The switch algorithm is essentially a rate calculation algorithm which is not<br />

concerned with <strong>the</strong> en<strong>for</strong>cement of <strong>the</strong> rates. The en<strong>for</strong>cement of rates may be<br />

carried out ei<strong>the</strong>r at <strong>the</strong> edge of <strong>the</strong> network or at every network switch though<br />

queu<strong>in</strong>g and schedul<strong>in</strong>g policies. This algorithm gives <strong>the</strong> network designer <strong>the</strong><br />

63

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!