根据中国民航七大空管区域的划分,以2010—2013年全国航班计划表中的航班班次数据为依据,构造各空管区域航班班次网络并进行对比分析;运用复杂网络分析方法计算七大空管区域相应特征值,发现各网络符合小世界和无标度特性;对各网络进行基于度优先的抗毁性测度和马太效应的修复策略分析,发现单层级网络经修复后,网络抗毁性有很大提升。研究发现各空管区域航班班次网络应向多枢纽多层级网络发展,应加强航空网络的抗毁程度。
According to the seven regional division of China’s civil aviation air traffic control, flight networks of each air traffic control region are constructed and compared based on the flight data of National Flight Plan 2010—2013. Complex network analyzing method is employed to calculate the corresponding eigenvalues of the seven regions, proving the small-world and scale-free property of them. Survivability measurement based on degree priority and Matthew's recovery strategy analyses are conducted to each network, showing greatly improved network survivability after single-level network recovery. Research result indicates that flight network of each air traffic control region should be developed aiming at multi-hub and multi-level, helping strengthen aviation network invulnerability.
[1] 赵凤彩,吴彦丽. 我国民航运输经济的区域划分[J]. 经济地理,2008,28(5):841-844.
Zhao Fengcai,Wu Yanli. Study on the division of the air transportation regions in China[J]. Economic Geography,2008,28(5):841-844.
[2] 王霞,韩莎莎. 中国通用航空区域发展水平综合测评[J]. 中国民航大学学报,2012,30(2):61-64.
Wang Xia,Han Shasha. Comprehensive evaluation of China′s regional general aviation development[J]. Journal of Civil Aviation University of China, 2012,30(2):61-64.
[3] 党亚茹,李雯静. 基于网络视角的航空客流结构分析[J]. 交通运输系统工程与信息,2010,10(5):167-174.
Dang Yaru, LI Wenjing. Air passenger flow structure analysis with network view[J]. Journal of Transportation Systems Engineering and Information Technology,2010,10(5):167-174.
[4] 刘浩广,蔡绍洪,张玉强. 无标度网络模型研究进展[J]. 大学物理,2008,27(4):43-47.
Liu Haoguang,Cai Shaohong, Zhang Yuqiang.The research on the scale2free networks model[J]. College Physics,2008,27(4):43-47.
[5] 楚杨杰,程文龙,罗熹. 城市公交网络无标度特性实证分析[J]. 武汉理工大学学报,2010,32(11):119-121.
Chu Yangjie,Cheng Wenlong,LUO Xi. Empirical analysis for scale free characteristic of the bus network[J]. Journal of Wuhan University of Technology,2010,32(11):119-121.
[6] 杜海峰,李树茁,Marcus W F,等. 小世界网络与无标度网络的社区结构研究[J]. 物理学报,2007,56(12):6886-6893.
Du HaiFeng,Li ShuZhuo, Marcus W F,et al. Community structure in small 2 world and scale free networks[J]. Acta Physica Sinica,2007,56(12):6886-6893.
[7] 党亚茹,彭丽娜. 基于复杂网络中心度的航空货运网络层级结构[J]. 交通运输系统工程与信息,2012,12(3):109-114.
Dang Yaru,Peng Lina. Hierarchy of air freight transportetion network based on centrality measure of complex networks[J]. Journal of Transportation Systems Engineering and Information Technology,2012,12(3):109-114.
[8] Huang J SH,Zhang X F. Summarize on complex network centrality[C]//Advances in Artificial Intelligence (Volume 4)——Proceedings of 2011 International Conference on Management Science and Engineering (MSE 2011).Engineering Technology Press,Southern Illinois University Carbondale,National University of Singapore,2011: 8.
[9] 党亚茹,宋素珍. 基于中心度的中国航空客流网络抗毁性分析[J]. 复杂系统与复杂性科学,2013,10(1):75-82.
Dang Yaru,Song Suzhen. Invulnerability analysis of Chinese air passenger flow network based on centrality[J]. Complex Systems and Complexity Sciencef,2013,10(1):75-82.
[10] 丁琳,谭敏生,肖炜. 复杂网络抗毁性研究综述[J]. 电脑知识与技术,2009,24(10):51-53,61.
Ding Lin, Tan Minsheng, Xiao Wei. Survey on invulnerability of complex networks[J]. Computer Knowledge and Technology, 2009,24(10):51-53,61.
[11] 郭世泽,陆哲明.复杂网络基础理论[M]. 北京:科学出版社,2012:328-334.
