Abstract:In order to ensure the safety of aviation system operations and improve the performance of aviation network system under failure, an aviation multi-layer network model was established, which used resilience fragility and resilience recovery to define resilience, using structural entropy, network structure resilience recovery and network traffic resilience recovery to measure the resilience of aviation multi-layer network under failure conditions. Taking North China region of civil aviation as an example, an empirical analysis is carried out to study the degree of recovery of network structure and the change of network flight flow loss under different recovery ratios of nodes. The results show that the aviation multi-layer network can better describe the coupling relationship between aviation systems, the network resilience is mainly affected by the airport network and the control sector network; the airport is the largest resilience recovery node; the greater the recovery rate of the network node, the better the performance of the network structure, the less the flight flow loss, and the better the network resilience.
王兴隆, 刘洋. 航空多层网络弹性测度与分析[J]. 复杂系统与复杂性科学, 2020, 17(2): 31-38.
WANG Xinglong, LIU Yang. Resilience Measurement and Analysis of Aviation Multi-Layer Network. Complex Systems and Complexity Science, 2020, 17(2): 31-38.
[1]俞桂杰,彭语冰,褚衍昌. 复杂网络理论及其在航空网络中的应用[J]. 复杂系统与复杂性科学,2006,3(1): 7984. Yu Guijie, Peng Yubing, Chu Yanchang. Complex networks theory and its application in air networks[J]. Complex Systems and Complexity Science, 2006, 3(1): 7984. [2]Rinaldi S M, Peerenboom J P, Kelly T K. Identifying,understanding,and analyzing critical infrastructure interdependencies[J]. IEEE Control Systems Magazine, 2001, 21(6): 1125. [3]张欣. 多层复杂网络理论研究进展:概念、理论和数据[J]. 复杂系统与复杂性科学, 2015, 12(2): 103107. Zhang Xin. Multilayer network science: concepts, theories, and data[J]. Complex Systems and Complexity Science, 2015, 12(2): 103107. [4]康金霞. 航路网络特征及其抗毁性研究[D]. 南京: 南京航空航天大学,2016. Kang Jinxia. Research on the structure and its invulnerability of China air route network[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2016. [5]于群,郭剑波. 中国电网停电事故统计与自组织临界性特征[J]. 电力系统自动化,2006,30(2): 1621. Yu Qun, Guo Jianbo. Statisties and sel-forganized critieality charaeters of blaekouts in china eleetric power systems[J]. Automation of Electric Power Systems, 2006, 30(2): 1621. [6]陈小兰. 城市交通复杂网络级联失效影响源辨识[D]. 长沙: 长沙理工大学,2013. Chen Xiaolan. Identifying influence factors of cascading failure for urban traffic complex network[D]. Changsha: Changsha University of Science&Technology, 2013. [7]Holling, S C. Resilience and stability of ecological systems[J]. Annual Review of Ecology and Systematics, 1973, 4(1): 123. [8]Stubna M D, Fowler J. An application of the highly optimized tolerance model to electrical blackouts[J]. International Journal of Bifurcation and Chaos, 2003, 13(1): 237242. [9]强添纲,赵明明,裴玉龙. 城市多模式交通网络的复杂网络特性与鲁棒性研究[J]. 交通信息与安全,2019,37(1): 6571. Qiang Tiangang, Zhao Mingming, Pei Yulong. An analysis of characteristics of complex network and robustness in harbin multi-mode traffic network[J]. Journal of Transport Information and Safety, 2019, 37(1): 6571. [10] Janic', Milan. Modeling the resilience of an airline cargo transport network affected by a large scale disruptive event[J]. Transportation Research Part D: Transport and Environment. 2019, 425448. [11] Nogal M, O'Connor A, Caulfield B, et al. Resilience of traffic networks: from perturbation to recovery via a dynamic restricted equilibrium model[J]. Reliability Engineering and System Safety, 2016, 156:8496. [12] Lloglu S, Albert L A. An integrated network design and scheduling problem for network recovery and emergency response[J]. Operations Research Perspectives, 2018, 5: 218231. [13] 崔琼,李建华,王宏,等. 基于节点修复的网络化指挥信息系统弹性分析模型[J]. 计算机科学,2018,45(4): 117121+136. Cui Qiong, Li Jianhua, Wang Hong, etc. Resilience analysis model of networked command information system based on node repairability[J]. Computer Science, 2012, 45(4): 117121+136. [14] Cerqueti R, Ferraro G, Iovanella A. Measuring network resilience through connection patterns[J]. Reliability Engineering & System Safety, 2019, 188: 320329. [15] 中国民用航空局,空中交通管理局. 2016年民航空域发展报告[R]. 北京,中国民用航空局,2017. Civil Aviation Administration of China, Air Traffic Management Bureau. 2016 civil aviation airspace development report [R]. Beijing: China Civil Aviation Administration, 2017. [16] 中国民用航空局航空安全办公室. 2016年中国民航航空安全报告[R]. 北京: 中国民用航空局,2017. Aviation Safety Office of China Civil Aviation Administration. 2016 CAAC aviation safety report[R]. Beijing: China Civil Aviation Administration, 2017. [17] James P G, Sterbenz, David H, et al. Resilience and survivability in communication networks: Strategies, principles, and survey of disciplines[J]. Computer Networks, 2010, 54(8): 12451265. [18] 方锦清. 从单一网络向《网络的网络》的转变进程—略论多层次超网络模型的探索与挑战[J]. 复杂系统与复杂性科学, 2016,13(1):4047. Fang Jinqing. From a single network to "Network of Networks" development process: some discussions on the exploration of multilayer supernetwork models and challenges[J]. Complex Systems and Complexity Science, 2016, 13(1):4047. [19] 王凯. 基于复杂网络理论的电网结构复杂性和脆弱性研究[D]. 武汉: 华中科技大学,2011. Wang Kai. Research on structural complexity and vulnerability of power grids based on complex network theory[D]. Wuhan: Huazhong University of Science and Technology, 2011. [20] 谭跃进,吴俊. 网络结构熵及其在非标度网络中的应用[J]. 系统工程理论与实践,2004(6): 13. Tan Yuejin, Wu Jun. Network structure entropy and its application to scale-free networks[J]. Systems Engineering-Theory & Practice, 2004(6): 13.