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 ...

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5.20 Simulation results for the upstream bottleneck con guration . . . . . 133 5.21 Simulation results for the transient con guration with 1000 km interswitch links . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 5.22 Simulation results for the transient con guration with packet train workload. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 5.23 Simulation results for the upstream bottleneck con guration with packet train workload. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 5.24 A geometric representation of e ciency and fairness for a link shared by two sources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151 5.25 Subregions of the TUB used to prove Claims C1 and C2 . . . . . . . 152 6.1 Reverse direction feedback . . . . . . . . . . . . . . . . . . . . . . . . 159 6.2 Independence of source and switch intervals . . . . . . . . . . . . . . 161 6.3 Step functions for ERICA+ . . . . . . . . . . . . . . . . . . . . . . . 177 6.4 Linear functions for ERICA+ . . . . . . . . . . . . . . . . . . . . . . 178 6.5 Hysteresis functions for ERICA+ . . . . . . . . . . . . . . . . . . . . 179 6.6 The queue control function in ERICA+ . . . . . . . . . . . . . . . . . 180 6.7 One source con guration . . . . . . . . . . . . . . . . . . . . . . . . . 188 6.8 Two source con guration . . . . . . . . . . . . . . . . . . . . . . . . . 189 6.9 Parking lot con guration . . . . . . . . . . . . . . . . . . . . . . . . . 190 6.10 Upstream Con guration . . . . . . . . . . . . . . . . . . . . . . . . . 191 6.11 Results for a one source con guration in a LAN (ERICA) . . . . . . . 199 6.12 Results for a one source con guration in a LAN (ERICA+) . . . . . . 200 xix

6.13 Results foratwo sources con guration in a LAN (ERICA) . . . . . . 201 6.14 Results foratwo sources con guration in a LAN (ERICA+) . . . . . 202 6.15 Results for a parking lot con guration inaLAN(ERICA) . . . . . . 203 6.16 Results for a parking lot con guration inaLAN(ERICA+) . . . . . 204 6.17 Results for an upstream con guration in a WAN (ERICA without the max-min fairness enhancement) . . . . . . . . . . . . . . . . . . . . . 205 6.18 Results for an upstream con guration in a WAN (ERICA with the max-min fairness enhancement) . . . . . . . . . . . . . . . . . . . . . 206 6.19 Results for a transient source con guration in a LAN (ERICA without the \fairshare rst" enhancement) . . . . . . . . . . . . . . . . . . . . 207 6.20 Results for a transient source con guration in a LAN (ERICA with the \fairshare rst" enhancement) . . . . . . . . . . . . . . . . . . . . 208 6.21 Results for a two source con guration with (1 ms on/1 ms o ) VBR background in a WAN (ERICA) . . . . . . . . . . . . . . . . . . . . . 209 6.22 Results for a two source con guration with (20 ms on/20 ms o ) VBR background in a WAN (ERICA) . . . . . . . . . . . . . . . . . . . . . 210 6.23 Results for a two source con guration with (1 ms on/1 ms o ) VBR background in a WAN (ERICA+) . . . . . . . . . . . . . . . . . . . . 211 6.24 Results for a two source con guration with (20 ms on/20 ms o ) VBR background in a WAN (ERICA+) . . . . . . . . . . . . . . . . . . . . 212 6.25 Results for one persistent source and one bursty source (small bursts) in a WAN (ERICA) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213 6.26 Results for one persistent source and one bursty source (medium bursts) in a WAN (ERICA) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 214 6.27 Results for one persistent source and one bursty source (large bursts) in a WAN (ERICA) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215 xx

5.20 Simulation results <strong>for</strong> <strong>the</strong> upstream bottleneck con guration . . . . . 133<br />

5.21 Simulation results <strong>for</strong> <strong>the</strong> transient con guration with 1000 km <strong>in</strong>terswitch<br />

l<strong>in</strong>ks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134<br />

5.22 Simulation results <strong>for</strong> <strong>the</strong> transient con guration with packet tra<strong>in</strong><br />

workload. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136<br />

5.23 Simulation results <strong>for</strong> <strong>the</strong> upstream bottleneck con guration with packet<br />

tra<strong>in</strong> workload. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137<br />

5.24 A geometric representation of e ciency and fairness <strong>for</strong> a l<strong>in</strong>k shared<br />

by two sources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151<br />

5.25 Subregions of <strong>the</strong> TUB used to prove Claims C1 and C2 . . . . . . . 152<br />

6.1 Reverse direction feedback . . . . . . . . . . . . . . . . . . . . . . . . 159<br />

6.2 Independence of source and switch <strong>in</strong>tervals . . . . . . . . . . . . . . 161<br />

6.3 Step functions <strong>for</strong> ERICA+ . . . . . . . . . . . . . . . . . . . . . . . 177<br />

6.4 L<strong>in</strong>ear functions <strong>for</strong> ERICA+ . . . . . . . . . . . . . . . . . . . . . . 178<br />

6.5 Hysteresis functions <strong>for</strong> ERICA+ . . . . . . . . . . . . . . . . . . . . 179<br />

6.6 The queue control function <strong>in</strong> ERICA+ . . . . . . . . . . . . . . . . . 180<br />

6.7 One source con guration . . . . . . . . . . . . . . . . . . . . . . . . . 188<br />

6.8 Two source con guration . . . . . . . . . . . . . . . . . . . . . . . . . 189<br />

6.9 Park<strong>in</strong>g lot con guration . . . . . . . . . . . . . . . . . . . . . . . . . 190<br />

6.10 Upstream Con guration . . . . . . . . . . . . . . . . . . . . . . . . . 191<br />

6.11 Results <strong>for</strong> a one source con guration <strong>in</strong> a LAN (ERICA) . . . . . . . 199<br />

6.12 Results <strong>for</strong> a one source con guration <strong>in</strong> a LAN (ERICA+) . . . . . . 200<br />

xix

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