- ISSN 0258-2724
- CN 51-1277/U
- EI Compendex
- Scopus
- Indexed by Core Journals of China, Chinese S&T Journal Citation Reports
- Chinese S&T Journal Citation Reports
- Chinese Science Citation Database
| Citation: | TIAN Wen, FANG Qin, ZHOU Xuefang, SONG Jinjin. Identification Method for Key Nodes in En-Route Network[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20220532
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Accurate identification of key nodes is of great significance for enhancing network resilience and improving operational capabilities. In order to improve the identification accuracy of key nodes in the en-route network, a comprehensive evaluation method based on the technique for order preference by similarity to an ideal solution (TOPSIS)-grey correlation analysis method and a node classification method for the en-route network were proposed. Firstly, an evaluation index system of key nodes in the en-route network was constructed from three perspectives: complex network characteristics, traffic volume, and vulnerability. Then, the relative entropy was introduced to improve the TOPSIS method, and the importance of en-route waypoints was comprehensively evaluated by combining this method with the grey correlation analysis method. The K-means clustering method was used to effectively divide the levels of en-route waypoints. Finally, key node identification was carried out based on the actual operation data of civil air traffic management. It finds that the results obtained by the constructed evaluation index system of key nodes in the en-route network are more comprehensive than the evaluation results of a single index. The improved TOPSIS-grey correlation analysis is more accurate than the traditional TOPSIS method. The proposed identification method finds that there are 29 key nodes in the typical busy en-route network in Eastern China, which play a key role in the network structure and traffic volume.
| [1] |
NEWMAN M E J. The structure and function of complex networks[J]. SIAM Review, 2003, 45(2): 167-256. doi: 10.1137/S003614450342480
|
| [2] |
KITSAK M, GALLOS L K, HAVLIN S, et al. Identification of influential spreaders in complex networks[J]. Nature Physics, 2010, 6: 888-893. doi: 10.1038/nphys1746
|
| [3] |
CHEN D B, LÜ L Y, SHANG M S, et al. Identifying influential nodes in complex networks[J]. Physica A: Statistical Mechanics and Its Applications, 2012, 391(4): 1777-1787. doi: 10.1016/j.physa.2011.09.017
|
| [4] |
闫玲玲,陈增强,张青. 基于度和聚类系数的中国航空网络重要性节点分析[J]. 智能系统学报,2016,11(5): 586-593.
YAN Lingling, CHEN Zengqiang, ZHANG Qing. Analysis of key nodes in China s aviation network based on the degree centrality indicator and clustering coefficient[J]. CAAI Transactions on Intelligent Systems, 2016, 11(5): 586-593.
|
| [5] |
WANG H Y, SONG Z Q, WEN R Y, et al. Study on evolution characteristics of air traffic situation complexity based on complex network theory[J]. Aerospace Science and Technology, 2016, 58: 518-528. doi: 10.1016/j.ast.2016.09.016
|
| [6] |
BELKOURA S, COOK A, PEÑA J M, et al. On the multi-dimensionality and sampling of air transport networks[J]. Transportation Research Part E: Logistics and Transportation Review, 2016, 94: 95-109. doi: 10.1016/j.tre.2016.07.013
|
| [7] |
WANG H Y, XU X H, ZHAO Y F. Empirical analysis of aircraft clusters in air traffic situation networks[J]. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2017, 231(9): 1718-1731. doi: 10.1177/0954410016660870
|
| [8] |
任新惠,杨丽. 中国航空货运网络脆弱性分析[J]. 安全与环境学报,2020,20(3): 840-848.
REN Xinhui, YANG Li. Vulnerability analysis of China air cargo transportation network[J]. Journal of Safety and Environment, 2020, 20(3): 840-848.
|
| [9] |
徐开俊,肖成坤,杨泳,等. 基于复杂网络理论的中国城市航空网络有向加权分析[J]. 科学技术与工程,2021,21(36): 15669-15673.
XU Kaijun, XIAO Chengkun, YANG Yong, et al. Directed Weighted Analysis of Chinese Urban Aviation Network Based on Complex Network Theory. Science Technology and Engineering[J], 2021, 21(36): 15669-15673.
|
| [10] |
BAE J, KIM S. Identifying and ranking influential spreaders in complex networks by neighborhood coreness[J]. Physica A: Statistical Mechanics and Its Applications, 2014, 395: 549-559. doi: 10.1016/j.physa.2013.10.047
|
| [11] |
LIU Y, TANG M, ZHOU T, et al. Identify influential spreaders in complex networks, the role of neighborhood[J]. Physica A: Statistical Mechanics and Its Applications, 2016, 452: 289-298. doi: 10.1016/j.physa.2016.02.028
|
| [12] |
ZAOLI S, MAZZARISI P, LILLO F. Trip Centrality: walking on a temporal multiplex with non-instantaneous link travel time[J]. Scientific Reports, 2019, 9: 10570.1-10570.11.
|
| [13] |
ULLAH A, WANG B, SHENG J F, et al. Identification of nodes influence based on global structure model in complex networks[J]. Scientific Reports, 2021, 11: 6173.1-6173.11.
|
| [14] |
ULLAH A, WANG B, SHENG J F, et al. Identifying vital nodes from local and global perspectives in complex networks[J]. Expert Systems with Applications, 2021, 186: 115778.1-115778.10.
|
| [15] |
GUIMERÀ R, MOSSA S, TURTSCHI A, et al. The worldwide air transportation network: anomalous centrality, community structure, and cities’ global roles[J]. Proceedings of the National Academy of Sciences of the United States of America, 2005, 102(22): 7794-7799.
|
| [16] |
段东立,战仁军. 基于相继故障信息的网络节点重要度演化机理分析[J]. 物理学报,2014,63(6): 385-393.
DUAN Dongli, ZHAN Renjun. Evolution mechanism of no de imp ortance based on the information ab out cascading failures in complex networks[J]. Acta Physica Sinica, 2014, 63(6): 385-393.
|
| [17] |
MORONE F, MAKSE H A. Influence maximization in complex networks through optimal percolation[J]. Nature, 2015, 524: 65-68. doi: 10.1038/nature14604
|
| [18] |
程光权,陆永中,张明星,等. 复杂网络节点重要度评估及网络脆弱性分析[J]. 国防科技大学学报,2017,39(1): 120-127.
CHENG Guangquan, LU Yongzhong, ZHANG Mingxing, et al. Node importance evaluation and network vulnerability analysis on complex network[J]. Journal of National University of Defense Technology, 2017, 39(1): 120-127.
|
| [19] |
DU W B, ZHANG M Y, ZHANG Y, et al. Delay causality network in air transport systems[J]. Transportation Research Part E: Logistics and Transportation Review, 2018, 118: 466-476. doi: 10.1016/j.tre.2018.08.014
|
| [20] |
WANG Z K, WEN X X, WU M G. Identification of key nodes in aircraft state network based on complex network theory[J]. IEEE Access, 2019, 7: 60957-60967. doi: 10.1109/ACCESS.2019.2915508
|
| [21] |
冯霞,贾宏璨. 考虑节点失效和边失效的航空网络鲁棒性[J]. 北京交通大学学报,2021,45(5): 84-92.
FENG Xia, JIA Hongcan. Aviation network robustness considering node failure and edge failure[J]. Journal of Beijing Jiaotong University, 2021, 45(5): 84-92.
|
| [22] |
LORDAN O, SALLAN J M, SIMO P, et al. Robustness of the air transport network[J]. Transportation Research Part E: Logistics and Transportation Review, 2014, 68: 155-163. doi: 10.1016/j.tre.2014.05.011
|
| [23] |
CHEN Y, WANG J E, JIN F J. Robustness of China’s air transport network from 1975 to 2017[J]. Physica A: Statistical Mechanics and Its Applications, 2020, 539: 122876.1-122876.12.
|
| [24] |
LI W, CAI X. Statistical analysis of airport network of China[J]. Phys Rev E Stat Nonlin Soft Matter Phys, 2004, 69(4):046106.1-046106.11.
|
| [25] |
ZHOU Y M, WANG J W, HUANG G Q. Efficiency and robustness of weighted air transport networks[J]. Transportation Research Part E: Logistics and Transportation Review, 2019, 122: 14-26. doi: 10.1016/j.tre.2018.11.008
|
| [26] |
QI X Q, FULLER E, WU Q, et al. Laplacian centrality: a new centrality measure for weighted networks[J]. Information Sciences, 2012, 194: 240-253. doi: 10.1016/j.ins.2011.12.027
|
| [27] |
WANG N, GAO Y, HE J T, et al. Robustness evaluation of the air cargo network considering node importance and attack cost[J]. Reliability Engineering & System Safety, 2022, 217: 108026.1-108026.15.
|
| [28] |
陈静,孙林夫. 复杂网络中节点重要度评估[J]. 西南交通大学学报,2009,44(3): 426-429. doi: 10.3969/j.issn.0258-2724.2009.03.021
CHEN Jing, SUN Linfu. Evaluation of node importance in complex networks[J]. Journal of Southwest Jiaotong University, 2009, 44(3): 426-429. doi: 10.3969/j.issn.0258-2724.2009.03.021
|
| [29] |
张喜平,李永树,刘刚,等. 节点重要度贡献的复杂网络节点重要度评估方法[J]. 复杂系统与复杂性科学,2014,11(3): 26-32,49.
ZHANG Xiping, LI Yongshu, LIU Gang, et al. Evaluation method of importance for nodes in complex networks based on importance contribution[J]. Complex Systems and Complexity Science, 2014, 11(3): 26-32,49.
|
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