基于渗滤中心性的中国航路网抗毁性研究  

The invulnerability of China′s air route network based on percolation centrality

作　　者：孟令航[1] 田川 刘永刚[2] MENG Linghang;TIAN Chuan;LIU Yonggang(College of Air Trcffic Management,CA UC,Tianjin 300300,China;Airspace Management Center,ATMS,CAAC,Beijing 101312,China)

机构地区：[1]中国民航大学空中交通管理学院,天津300300 [2]中国民用航空局空中交通管理局空域管理中心,北京101312

出　　处：《中国民航大学学报》2022年第6期12-17,共6页Journal of Civil Aviation University of China

基　　金：国家重点研发计划项目(2016YFB0502401)。

摘　　要：为有效识别航路网中的脆弱环节,评估关键航路点失效后航路网运行效能的下降程度,从复杂网络视角对中国航路网的抗毁性进行实证研究。首先,基于通航的机场OD(origin destination)对建立改进的介数中心性,即渗滤中心性,统计拟合结果对比表明,渗滤中心性较度中心性和介数中心性能够更准确地反映航路节点的运行重要度。然后,分别以航路点度值、介数和渗滤中心性为攻击偏好参数,以非直线性系数为航路网络效率测度,观察航路网受到攻击后非直线性系数的增长情况。实验结果表明,中国航路网对随机攻击具有极强的抗毁性,对蓄意攻击具有脆弱性;以渗滤中心性为攻击偏好参数,攻击的准确性和强度显著优于度中心性和介数中心性,验证了渗滤中心性作为航路点重要性测度的有效性。To effectively identify the weak parts in the route network and evaluate the decay of the route network’s operational efficiency after the failure of critical nodes, an empirical study on the invulnerability of China’s air route network is conducted from the perspective of a complex cyber system. Firstly, the percolation centrality is established by modifying the degree centrality based on actual origin destination(OD) pairs. The statistical comparison shows that the percolation centrality can reflect the operational importance of route points more accurately than the degree centrality and the betweenness centrality. The numerical node attack experiment is then conducted,taking the degree, betweenness and the percolation centrality each separately as the attack preference, to observe the growth of non-linear coefficient after the air route network is attacked. The results show that China’s route network is robust to random attacks while vulnerable to targeted attacks. Taking the percolation centrality as preference, the attack accuracy and intensity is superior to centrality and betweenness, and the effectiveness of air route percolation centrality as measure of importance is thus verified.

关 键 词：航路网 抗毁性 渗滤中心性 非直线性系数 

分 类 号：F562.3[经济管理—产业经济]