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Stability Analysis of Tandem SIP Proxies

Stability Analysis of Tandem SIP Proxies. IEEE ICC 2012 - Communication QoS , Reliability and Modeling Symposium Arthur: Seyed Vahid Azhari, Hani Nemati Presenter: 侯宗佑. Outline. Introduction Fluid Flow Model Lyapunov stability Stabilizing Algorithm Conclusion. SIP protocol.

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Stability Analysis of Tandem SIP Proxies

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  1. Stability Analysis of Tandem SIP Proxies IEEE ICC 2012 - Communication QoS, Reliability and Modeling SymposiumArthur: Seyed Vahid Azhari, Hani Nemati Presenter:侯宗佑

  2. Outline • Introduction • Fluid Flow Model • Lyapunovstability • Stabilizing Algorithm • Conclusion

  3. SIP protocol Signaling Communications Protocol IETF,RFC 2543, latest RFC 3261 Setup, modify, tear down multimedia sessions Text-based protocol (like http, smtp) Media stream use RTP protocol

  4. SIP protocol(cont’d)

  5. Lyapunov Stability Mostly used for non-linear dynamic system Stay near Equilibrium point

  6. Fluid Flow Model

  7. Fluid Flow Model(Cont’d) Assumption: • Infinite queues, • negligible packet loss and processing time, • only Invite and OK message State variable: weighted number of Invite message queues on proxy

  8. Fluid Flow Model(Cont’d)

  9. Fluid Flow Model

  10. Lyapunov Stability Equilibrium : (x1,x2) = (0,0)

  11. Lyapunov Stability(Cont’d)

  12. Lyapunov Stability(Cont’d) Optimal rejection policy P2,rej = 0 has max value All rejection burden at upstream proxy

  13. Stabilizing Algorithm Idetical: P1 >= 1:

  14. Stabilizing Algorithm(Cont’d)

  15. Stabilizing Algorithm(Cont’d)

  16. Stabilizing Algorithm(Cont’d) Maximum Withstand-able Overload

  17. Conslusion Modeled SIP topology Derive Lyapunov stability condition Proposed a simple overload control algorithm Optimal rejection policy

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