基于航程加权的航路网络效能仿真分析
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摘要
研究航路网络在节点失效时路网效能的表现,为网络受损提供多样化的分析情况,是下一步提高网络稳固性的重要基础。从路网结构角度出发,首先获取国内航路点邻接矩阵和节点相对坐标等基础数据,借助pajek对航路网络的结构中心性进行定量计算。依照结构中心性的分析结果设置了航路点失效的四种模式,针对四种航路点失效模式进行航路网络效能的仿真分析。仿真结果表明,变权路网下的网络效能要比等权路网下的网络效能更加符合实际结构情况,在点度优先失效模式下航路网络的抵抗性最差,表现出更快的崩溃现象,在提高网络稳固性是应优先考虑节点度值较大的节点。
Studying the performance of the route network network in the failure of the route network provides a variety of analysis conditions for the network damage, which is an important basis for improving the network stability in the next step. From the perspective of the road network structure, the basic data of the domestic route point adjacency matrix and the relative coordinates of the nodes are first obtained, and the structural centrality of the route network is calculated quantitatively with pajek. In accordance with the results of structural centrality analysis, four modes of failure of route points were set up, and the simulation analysis of route network performance was conducted for the failure modes of the four route points. The simulation results showed that the network performance under variable-weight road network was lower than that under equal-weight road networks. The network performance is more in line with the actual structure. In the point-priority failure mode, the route network has the worst resistance and shows a faster collapse. In order to improve the network stability, priority should be given to nodes with larger node values.
Studying the performance of the route network network in the failure of the route network provides a variety of analysis conditions for the network damage, which is an important basis for improving the network stability in the next step. From the perspective of the road network structure, the basic data of the domestic route point adjacency matrix and the relative coordinates of the nodes are first obtained, and the structural centrality of the route network is calculated quantitatively with pajek. In accordance with the results of structural centrality analysis, four modes of failure of route points were set up, and the simulation analysis of route network performance was conducted for the failure modes of the four route points. The simulation results showed that the network performance under variable-weight road network was lower than that under equal-weight road networks. The network performance is more in line with the actual structure. In the point-priority failure mode, the route network has the worst resistance and shows a faster collapse. In order to improve the network stability, priority should be given to nodes with larger node values.
引文
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[2] 崔毅.基于复杂网络理论的县域公路网鲁棒性研究[J].公路,2017,(11):151-154.
[3] 王航臣.基于级联失效的航路网络中关键航路识别算法[J].航空计算技术,2017,47(6):32-35.
[4] 黄胜磊.浅析航班备降保障工作[J].科技创新与应用,2013(18):296.
[5] M Guida,F Maria.Topology of the Italian airport network:A scale-free small-world network with a fractal structure[J].Chaos Solitons & Fractals,2007,31(3):527-536.
[6] Wilkinson S M,Dunn S,Ma S.The vulnerability of the European air traffic network to spatial hazards[J].Natural hazards,2012,60(3):1027-1036.
[7] 王兴隆,潘维煌,赵末.空中交通相依网络的脆弱性研究[J].航空学报,2018,39(12):275-284.
[8] 王兴隆,高经东,赵末.空中交通管制扇区复杂网络建模与特性分析[J].中国民航大学学报,2019,37(1):7-11.
[9] 王莉莉,王航臣.多机场协同下航路网络通行能力优化[J].飞行力学,2019,37(1):45-49.
[10] 王莉莉,王航臣.终端区受扰通行能力优化的动态网络流模型[J].系统工程,2018,36(8):148-153.
[11] 王莉莉,王航臣.考虑高度层分配的航路交叉点协同通行能力研究[J].中国科技论文,2018,13(19):2203-2207.
[12] S Jalan,et al.Unveiling the multi-fractal structure of complex networks[J].Chaos Solitons & Fractals the Interdisciplinary Journal of Nonlinear Science & Nonequilibrium & Complex Phenomena,2017,97:11-14.
[13] C K Morley,C W Nixon.Topological characteristics of simple and complex normal fault networks[J].Journal of Structural Geology,2016,84:68-84.
[14] 郭露露,等.基于复杂网络理论的北京地铁网络脆弱性评估[J].工业安全与环保,2017,43(11):30-34.
[15] 汪优,汤子文,刘建华.长株潭城市群道路路网的交通效能评估[J].公路交通科技,2012,29(3):131-136.