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IEEE ICC COMMUNICATION QOS, RELIABILITY AND MODELING SYMPOSIUM ARTHUR: SEYED VAHID AZHARI, HANI NEMATI PRESENTER: 侯宗佑 Stability Analysis of Tandem SIP Proxies
Outline Introduction Fluid Flow Model Lyapunov stability Stabilizing Algorithm Conclusion
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
Lyapunov Stability Mostly used for non-linear dynamic system Stay near Equilibrium point
Fluid Flow Model
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
Fluid Flow Model(Cont’d)
Fluid Flow Model
Lyapunov Stability Equilibrium : (x1,x2) = (0,0)
Optimal rejection policy P 2,rej = 0 has max value All rejection burden at upstream proxy
Stabilizing Algorithm Idetical: P1 >= 1:
Maximum Withstand-able Overload
Conslusion Modeled SIP topology Derive Lyapunov stability condition Proposed a simple overload control algorithm Optimal rejection policy
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