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

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Figure 3.2: Operat<strong>in</strong>g po<strong>in</strong>t between <strong>the</strong> \knee" and <strong>the</strong> \cli "<br />

among sources which can use <strong>the</strong> bandwidth (active, unconstra<strong>in</strong>ed sources). The<br />

most commonly used criterion <strong>for</strong> what is <strong>the</strong> correct share of bandwidth <strong>for</strong> a source<br />

<strong>in</strong> a network environment, is <strong>the</strong> so called \max-m<strong>in</strong> allocation [41]." It provides <strong>the</strong><br />

maximum possible bandwidth to <strong>the</strong> source receiv<strong>in</strong>g <strong>the</strong> least among all contend<strong>in</strong>g<br />

sources.<br />

Ma<strong>the</strong>matically, <strong>the</strong>optimality criterion can be written as follows [17]:<br />

Given a con guration with n contend<strong>in</strong>g sources, suppose <strong>the</strong> ith source gets a<br />

bandwidth i. The allocation vector f 1�:::� ng is feasible if all l<strong>in</strong>k load levels are<br />

less than or equal to 100%.<br />

that ^ai<br />

Consider vector a =(a 1�:::�an). Let ^a =(^a 1�:::� ^an) beapermutation of a such<br />

^aj if i

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

Saved successfully!

Ooh no, something went wrong!