基于双层网络模型的城市公共交通系统抗毁性研究

Research on the invulnerability of urban public transport systems based on a double-layer network model

为研究城市公共交通系统的抗毁性,采用复杂网络理论对地铁、公交系统进行映射和分析。首先,基于Space-L模型改进双层复杂网络构建方法,以实际换乘距离为指标构建连边,并以线路高峰小时载客能力为边权重构建地铁-公交双层网络;其次,通过度、强度、介数等指标分析双层网络与其子网络的特性;最后,分别采用随机攻击和蓄意攻击模型对双层网络及其子网络进行抗毁性分析。研究结果表明:地铁-公交双层网络呈现无标度特性,对蓄意攻击表现出脆弱性,且对不同蓄意攻击指标的敏感性不同。研究结论对于公共交通系统应对突发事件,提升系统韧性具有参考价值。

To study the invulnerability of urban public transport systems,the complex network theory is used to map and analyze the metro and bus systems.First,an improved double-layer complex network construction method is proposed based on the Space-L model.This method constructs connecting edges based on actual transfer distances and uses the peak-hour passenger capacity of lines as edge weights to develop a metro-bus double-layer network.Second,the characteristics of this network and its sub-network are analyzed using indicators such as degree,intensity,and betweenness.Finally,the random attack and intentional attack models are utilized to analyze the invulnerability of the metro-bus double-layer network and its sub-networks,respectively.The results show that the developed network exhibits a scale-free property and is vulnerabe to intentioanl attacks,exhibiting different sensitivities to various intentioanl attack indicators.Thus,the results of this study provide valuable guidelines to public transport systems for responding to emergencies and improving their robustness.