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

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problems. Dur<strong>in</strong>g <strong>the</strong> ON time, <strong>the</strong> VBR source operates at its maximum amplitude.<br />

The maximum amplitude of <strong>the</strong> VBR source is 124.41 Mbps (80% of l<strong>in</strong>k rate). VBR<br />

is given priority at <strong>the</strong> l<strong>in</strong>k, i.e, if <strong>the</strong>re is a VBR cell, it is scheduled <strong>for</strong> output on<br />

<strong>the</strong> l<strong>in</strong>k be<strong>for</strong>e any wait<strong>in</strong>g <strong>ABR</strong> cells are scheduled.<br />

8.16.1 Simulation Results<br />

Table 8.7 shows <strong>the</strong> results of a 3x3 full-factorial experimental design [49] used to<br />

identify <strong>the</strong> problem space with VBR background tra c. Wevary <strong>the</strong> two VBR model<br />

parameters: <strong>the</strong> duty cycle (d) and <strong>the</strong> period (p). Recall that, with parameters d<br />

and p, <strong>the</strong> VBR ON time is d p and <strong>the</strong> VBR OFF time is d (1-p). Each parameter<br />

assumes three values. The duty cycle assumes values 0.95, 0.8 and 0.7 while <strong>the</strong> period<br />

may be100 ms (large), 10 ms (medium) and 1ms(small).<br />

The maximum switch queue is also expressed as a fraction of <strong>the</strong> round trip time<br />

(30 ms = 30 ms 368 cells/ms = 11040 cells).<br />

E ect of VBR ON-OFF Times<br />

Rows 1,2 and 3 of Table 8.7 characterize large ON-OFF times (low frequency<br />

VBR). Observe that <strong>the</strong> (maximum) queues are small fractions of <strong>the</strong> round trip<br />

time. The queues which build up dur<strong>in</strong>g <strong>the</strong> ON times are dra<strong>in</strong>ed out dur<strong>in</strong>g <strong>the</strong><br />

OFF times. Given <strong>the</strong>se conditions, VBR may add at most one RTT worth of queues.<br />

ERICA+ fur<strong>the</strong>r controls <strong>the</strong> queues to small values.<br />

Rows 4,5 and 6 of Table 8.7 characterize medium ON-OFF times. We observe that<br />

rows5and6have divergent (unbounded) queues. The e ect of <strong>the</strong> ON-OFF time on<br />

<strong>the</strong> divergence is expla<strong>in</strong>ed as follows. Dur<strong>in</strong>g <strong>the</strong> OFF time <strong>the</strong> switch experiences<br />

underload and may allocate high rates to sources. The duration of <strong>the</strong> OFF time<br />

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