由于传统采用单一指标评价航空网络鲁棒性存在不足,需进一步考虑多元指标及其核心变量,提出综合评价方法,以全面分析与评价网络鲁棒性。考虑剩余节点数量、邻居连边数、最短路径等多元变量建立综合鲁棒性评价指标;设置4种失效策略并对4个网络进行仿真。仿真结果表明:在随机失效情况下,世界航空网络在几乎所有节点失效后综合鲁棒性指标才降至0,与其余3个虚拟网络相比是最具鲁棒性的;在3种蓄意失效情况下,世界航空网络在小规模节点失效时均难以维持鲁棒性,且在20%左右节点失效后网络完全崩溃;在3种蓄意失效策略下世界航空网络综合鲁棒性曲线基本一致,证明了该综合鲁棒性指标的泛用性。
Due to the inadequacy of using a single indicator to evaluate the air network robustness, it is necessary to further consider multiple indicators and their core variables to propose a comprehensive evaluation method, in order to analyze and evaluate the network robustness comprehensively, this paper considered multiple variables such as the number of remaining nodes, the number of neighbor links, and the shortest path, to establish a comprehensive robustness evaluation index. Set up four failure scenarios and simulated them on the four networks. The simulation results show that, under random failure, the World-Airline Network has the highest robustness among the four networks, and its comprehensive robustness index only drops to zero after almost all nodes fail; under three malicious failure scenarios, the World-Airline Network fails to maintain robustness when a small number of nodes fail, and collapses completely when about 20% of nodes fail; under three malicious failure strategies, the comprehensive robustness curves of the World-Airline Network are basically consistent, which proves the universality of this comprehensive robustness metric.
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