在构建危险品运输网络模型的基础上,采用复杂网络理论对该网络模型抗毁性测度及特性进行研究。首先,根据网络模型的配送特性,提出"网络风险效率"和"最大连通度"抗毁性测度;接着,通过建立危险品运输网络介数模型和对道路网络节点和边的随机和蓄意攻击,描述网络模型的流量和拓扑特性,继而构建基于复杂网络理论的危险品运输网络抗毁性研究框架。实验结果表明:本文构建的抗毁性测度可以很好表征危险品运输网络的抗毁性能水平,且网络抗毁性是由少数节点和边维系的;无论节点攻击还是边攻击,网络均表现出对随机攻击的鲁棒性和蓄意攻击的脆弱性,故抗毁特性更接近于无标度网络,且边的抗毁性高于节点的抗毁性;此外,在攻击较多节点和边时,度攻击的抗毁性较弱,且网络配送的可达性优于风险值增长水平。
The model of hazardous materials transportation network (HMTN) was constructed and its measure of invulnerability and characteristics were studied by complex network. Firstly, the measures of invulnerability, i.e. efficiency of network risk and maximal connected degree, were proposed based on the characteristic of distribution of HMTN. Then, by establishing the HMTN between centrality model and randomly and intentionally attacking the node and edge, the characteristics of flow and topology of HMTN were described. Finally, the research framework of HMTN invulnerability based on complex network was established. The results show that the measure of invulnerability can do well in describing the performance of HMTN invulnerability, and HMTN invulnerability is maintained by a small number of nodes and edges; the invulnerability of HMTN is closer to the scale-free network which is robustness to random attack and vulnerability to intentional attack and the invulnerability of edge is higher than the node's. Furthermore, the invulnerability is weak based on removals by recalculated degree and the reachability of HMTN is better than the risk growth when more nodes and edges are attacked.