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为互联网中的流量控制协议构建恰当模型,从而阐明具体协议算法与网络宏观性能间的关系,一直是互联网研究者面临的重大挑战.本文通过逻辑演绎,建立了互联网传输控制协议下流量的朗之万方程.在此基础上,细致分析了主动队列管理算法的有效性,在理论上证明了此类算法存在从畅通态到拥塞态到瘫痪态的相变过程,并给出了相变临界点与系统参数的显式关系.本建模与分析方法虽以具体的主动队列管理算法为例,但其方法可以应用于一般的网络流量控制问题.
It is always a major challenge for Internet researchers to construct the appropriate model for traffic control protocol in the Internet to clarify the relationship between the specific protocol algorithm and the macro performance of the Internet.This paper establishes the logic of traffic flow under Internet Transmission Control Protocol Based on this, the validity of the active queue management algorithm is analyzed in detail, and the phase transition process of the algorithm from the unobstructed state to the congested state to the paralyzed state is theoretically proved, and the critical point And the system parameters of the explicit relationship between the modeling and analysis of a specific active queue management algorithm as an example, but the method can be applied to the general network traffic control problems.