P2P文件共享系统的拓扑度分析及其仿真

Analysis and Simulation of Topology Degree of P2P File Sharing System

在P2P系统的研究中,网络的拓扑特性分析是一个重要的研究方向。本文首先针对一个实际的P2P系统,建立了基于事件驱动的演化模型。然后在模型的基础上,通过分析网络中各种基本事件的发生对网络拓扑度的影响,导出了网络度分布方程,借助生成函数将方程转化为微分方程,并对其进行分析求解,得到了度分布的解析表达式。最后通过仿真说明了模型的有效性以及解的物理意义。

In the study of P2P system, analysis of the topological characteristics of the network is an important research direction. In this paper we first construct an evolution model based on event - driven for an actual P2P system. By analyzing the influence of each basic event to the network topology degree, we then derive a degree distribution equations based on the model. By using the generating function we transform the equation into the resulting differential equation, analytically solve it and get the analytical expression of the degree distribution. We finally show the validity of the model and the physical meaning of the solutions by simulation.