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

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proportional to <strong>the</strong> <strong>the</strong> unused <strong>ABR</strong> capacity. The <strong>in</strong>clusion of <strong>the</strong> utilization<br />

factor br<strong>in</strong>gs <strong>the</strong> e ciency closer to <strong>the</strong> maximum possible.<br />

The algorithm developed is O(1) <strong>in</strong> both space and time requirements.<br />

In <strong>the</strong> basic scheme, <strong>the</strong> residual unused capacity to accommodate new sessions<br />

without queue buildup.<br />

Fairness is ma<strong>in</strong>ta<strong>in</strong>ed because, over a period, all sources see <strong>the</strong> same \adver-<br />

tised rate" (MACR).<br />

The scheme explicitly addresses <strong>the</strong> issues <strong>in</strong> measurement, variance reduction<br />

and error compensation. The variance suppression is a necessity <strong>for</strong> <strong>the</strong> scheme<br />

s<strong>in</strong>ce <strong>the</strong> phantom bandwidth, is highly variant.<br />

The exponential averag<strong>in</strong>g of measurements is valid (unlike <strong>the</strong> EPRCA algo-<br />

rithm where <strong>the</strong> technique is dubious) because <strong>the</strong>y are made over xed <strong>in</strong>ter-<br />

vals. We note aga<strong>in</strong> that <strong>the</strong> arithmetic mean (or exponential averag<strong>in</strong>g) is not<br />

<strong>the</strong> correct method <strong>for</strong> averag<strong>in</strong>g ratios where <strong>the</strong> denom<strong>in</strong>ator is not constant<br />

[49].<br />

The scheme considers <strong>the</strong> issues of high bottleneck utilization comb<strong>in</strong>ed with a<br />

systematic method to cope with queu<strong>in</strong>g delays (due to transient queues).<br />

Fast implementations can be derived by replac<strong>in</strong>g multiply operations by bit-<br />

shift<strong>in</strong>g.<br />

The drawbacks of <strong>the</strong> scheme are:<br />

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