为提高网络模型的准确性和复杂性分析的全面性,提出L空间下铁路快捷货运无向加权复杂网络建模方法、节点重要度综合评价方法和基于综合重要度节点失效的网络鲁棒性分析方法。依据中国铁路快捷货运列车时刻表和车站间日均交互车流等数据,建立加权复杂网络模型并分析拓扑特性得到:现阶段中国铁路快捷货运网络具有小世界性、高度异质性、强度-度正相关性、点权均等性、加权非同类匹配性、强度-强度负相关性。基于网络效率和节点重要度评价指标,从随机失效和蓄意破坏2个方面4种情况对比分析鲁棒性得到:节点遭受蓄意破坏比随机失效使得网络更脆弱,节点遭受最大综合重要度破坏比最大强度破坏使得网络更脆弱、比最大加权介数破坏更快地使得网络崩溃,表明所提出的综合重要度评价指标具有节点强度和节点加权介数双重特性。
In order to improve the accuracy of complex network model and the comprehensiveness of complexity analysis, the method of modeling undirected weighted complex network of CREFTN in L-space (UWCN-CREFTN), the comprehensive importance evaluation index of the nodes and network robustness analysis method considering node failure based on comprehensive importance index are proposed. Based on the timetable and wagon-flow data, the results of analyzing the topological characteristics of UWCN-CREFTN show that CREFTN is a small-world network which has high heterogeneity, strength-degree positive correlation, point-weighted equality, weighted non-homogeneous matching, strength-strength negative correlation at present. Based on network efficiency and node importance, the results of analyzing the robustness of UWCN-CREFTN contrastively under four situations at two aspects show that the random failure of nodes makes the network more robust than vandalism, maximum-comprehensive-importance vandalism make the network more vulnerable than maximum-strength vandalism and completely collapse faster than maximum-weighted-betweenness vandalism, which indicates that the proposed comprehensive importance evaluation index has the dual characteristics of node strength and node weighted betweenness.
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