题目：Modelling and Congestion Control of the Internet
      报告人: Xinzhi Liu, Department of Applied Mathematics, UniversityofWaterloo,Waterloo,Canada
      时间: 7月16日(周一) 上午10:00
      地点: 致远楼102

      摘要: The proliferation and universal adoption of the Internet have escalated it as the key information transport platform. As a decentralized system, network stability and integrity depend on the end-to-end congestion control algorithm, which is deployed in the dominant transport layer protocol, Transmission Control Protocol (TCP). A TCP sender interprets packet losses as congestion indicators and throttles the traffic load once a packet loss is sensed, aiming to avoid network congestion collapse, according to an Additive Increase and Multiplicative Decrease (AIMD) congestion control mechanism. This talk considers a class of generalized AIMD model for the Internet. Sufficient conditions for asymptotic stability by using Lyapunov functions and Razumikhin technique are established for both the homogeneous-flows system and the heterogeneous-flows system. The TCP-friendly condition and average queuing delay are also derived.