摘要
To explore the structural characteristics and vulnerability of multimodal transport networks,this study identifies the structural characteristics of a multimodal transport network on the basis of the complex network theory.Key nodes are clarified from the analysis of the structural characteristics.The characteristic path length and percentage of the largest subgraph are applied to analyze the vulnerability of the multimodal transport network after random and intentional attacks on the nodes.The network of a multimodal transport company is taken as an example in the empirical analysis.Results show that with more than ten nodes under a random attack,the percentage of the largest subgraph is less than 20%,and the characteristic path length is less than 2.The same performance is observed for more than seven nodes under an intentional attack.The multimodal transport network is more vulnerable under an international attack against key nodes.The results of the topology and node failure under random or intentional attacks would support the management of the multimodal transport network.Suggestions for the emergency transportation organization of enterprises under attacks are proposed accordingly.These suggestions should help improve network invulnerability and recovery from node failure.
为了研究多式联运网络的结构特性以及在网络节点失效的情况下网络的脆弱性,基于复杂网络理论描述网络拓扑结构特性,并明确关键节点.分析多式联运网络在节点遭遇随机攻击和刻意攻击(关键节点)后网络平均最短路径和最大连通子图的比例,以此分析网络脆弱性.以一家多式联运企业网络为例进行实证分析.结果表明,随机攻击下,被攻击节点数大于10时,最大连通子图的比例低于20%且平均最短路径小于2,而攻击关键节点情景下,失效节点数大于7就已达到同等效果.关键节点失效时网络性能下降速度明显大于随机节点失效情景,保障关键节点运作能力能有效降低网络脆弱性.该方法可帮助多式联运企业确定关键节点并制定节点失效应急管理方案,提高企业网络从节点失效中恢复的能力.
基金
The Science and Technology Demonstration Project of Multimodal Freight Transport in Jiangsu Province(No.2018Y02).