基于不变流形的FAST TCP参数选择方法

FAST TCP Preference Method Based on Invariant Manifolds

在各路径FAST TCP连接到达服从泊松过程、传送文件长度服从指数分布和瓶颈链路处于重流量服务强度的条件下,利用含有各路径FAST TCP连接平均逗留时间的Lyapunov函数,证明了若处于不变流形状态,则各路径活跃FAST TCP连接平均逗留时间最短,并且在有限的时间内系统可到达该不变流形。针对FAST TCP采用静态映射表确定协议参数α的缺陷,按照降阶的不变流形中连接数和协议参数的关系,提出了一种在慢时间尺度比例下根据连接数期望值和不变流形迭代搜索协议参数的方法。NS-2仿真结果表明该方法是有效的。

When each route FAST TCP connections were assumed Poisson arrival and exponentially distributed document sizes, a Lyapunov function including FAST TCP connection＇s lingering time was constructed to prove that each route connection lingering time was shortest at the invariant manifolds under the heavy traffic service intensity, and to prove that the invariant manifolds were reached in a finite time. Aiming at the weakness of FAST TCP static mapping protocol parameter method, according to the relation between connection numbers and the protocol parameter in reduced order invariant manifolds, a slow timescale iterative search protocol parameter method based on the expected connection numbers and invariant manifolds was proposed. NS-2 simulationresults were presented to verify the effectiveness of this method.