高速铁路网络复杂特性及其传播动力学研究

Complex Characteristics and Propagation Dynamics of High Speed Railway Network

摘要:

结合高速铁路网络的拓扑结构分析，建立了基于传播动力学理论的模型，研究突发事件在网络上的传播扩散规律及其传播过程.运用复杂网络理论分别构建了我国高速铁路物理网络和运输网络两个网络模型，并计算复杂网络条件下的相关统计特性指标，从而判断高速铁路网络的类别和性质；同时基于高铁网络性质，建立了突发事件下列车晚点在网络上的传播动力学模型，分析不同参数取值情况下的晚点传播扩散过程，并提出控制突发事件下列车晚点在网络中传播蔓延的措施和策略.

关键词:高速铁路;复杂网络;传播动力学

Abstract:

This paper presents a model of propagation dynamics to study the law of emergency spreading on the network of highspeed railway (HSR) and explore its propagation process, combining with an analysis of topological structure characteristics. The theory of complex network is applied to construct the HSR physical network and HSR transportation network respectively, and relevant statistical characteristics indicators under complex network conditions are calculated to determine the type and nature of HSR networks. Meanwhile, based on the nature of HSR networks, a model of emergency train delay on the network is established considering propagation dynamics. The delay propagation and diffusion process has been discussed at different parameter values, and related measures and strategies are provided to control the delay spreading of emergency in the HSR network.

Key words:high-speed railway; complex network; propagation dynamics