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TCP Networks Stabilized by Buffer-Based AQMs Huaizhong Han, C. V. Hollot, Yossi Chait (University of Massachusetts at Amherst), Vishal Misra (Columbia University) Thanks to NSF Grant #ANI-0125979. Presented by H. Han ECE at UMass-Amherst. router. Buffer-based AQM. Internet. Background (I).
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TCP Networks Stabilized by Buffer-Based AQMsHuaizhong Han, C. V. Hollot, Yossi Chait (University of Massachusetts at Amherst), Vishal Misra (Columbia University)Thanks to NSF Grant #ANI-0125979 Presented by H. Han ECE at UMass-Amherst INFOCOM'04
router Buffer-based AQM Internet Background (I) TCP TCP INFOCOM'04
x fwd delay q aqm router AQM bwd delay p Background (II) x q p AQM tcp sources u lpf lpf INFOCOM'04
Network Congestion TCP congested links TCP INFOCOM'04
x R(s) tcp sources aqm routers RT(-s) u p Linearized Model of Network Congestion lpf INFOCOM'04
buffer based rate based G(s) Linear Stability R(s) AQM routers F(s) RT(-s) TCP INFOCOM'04
Im not encircling -1+j0linear closed-loop stability Generalized Nyquist Theorem Re -1+j0 INFOCOM'04
Main Result (I) routinggain INFOCOM'04
Illustration (two-source, two links) INFOCOM'04
Re -1+j0 Main Result (II) Im linear closed-loop stability INFOCOM'04
Impact of Routing Matrix R (I) INFOCOM'04
Impact of Routing Matrix R (II) INFOCOM'04
Network Simulation INFOCOM'04
Uncertainty in Routing Gain measure of routing gain uncertainty m = # of tcp sources n = # of congested liks A = binary full rank matrices robustness decreases with # of tcp sources and congested links INFOCOM'04
Contribution of Work • Stability condition for buffer-based AQMs • RED, REM, PI … • Connection between routing and stability • “Gain of Routing” as robustness measure -expressed in terms of numbers of sources and links. INFOCOM'04
Future Research • In practice how many congested links do sources • encounter? • Do present routing algorithms result in specific pattern of routing matrices R(0)? For example: how does shortest-path routing impact congestion control? INFOCOM'04