Systems Engineering and Electronics ›› 2021, Vol. 43 ›› Issue (8): 2163-2173.doi: 10.12305/j.issn.1001-506X.2021.08.18
• Systems Engineering • Previous Articles Next Articles
Kexin BI1,2, Minggong WU1,2, Wenbin ZHANG3, Xiangxi WEN1,2,*, Kan DU4
Received:
2020-09-11
Online:
2021-07-23
Published:
2021-08-05
Contact:
Xiangxi WEN
CLC Number:
Kexin BI, Minggong WU, Wenbin ZHANG, Xiangxi WEN, Kan DU. Modeling and analysis of flight conflict network based onvelocity obstacle method[J]. Systems Engineering and Electronics, 2021, 43(8): 2163-2173.
Table 1
Spatial complexity analysis results in various conditions"
分布 | 架数 | 飞行状态网络 | 飞行冲突网络 | |||||
C | Dl | NE | C | Dl | NE | |||
均匀分布 | 10 | 0.297 1 | 0.134 2 | 0.170 9 | 0.046 5 | 0.050 1 | 0.057 0 | |
20 | 0.565 5 | 0.180 9 | 0.316 9 | 0.149 3 | 0.057 0 | 0.076 9 | ||
30 | 0.646 5 | 0.220 2 | 0.448 5 | 0.243 6 | 0.065 1 | 0.106 1 | ||
40 | 0.684 6 | 0.240 4 | 0.489 8 | 0.332 1 | 0.077 3 | 0.158 2 | ||
50 | 0.696 8 | 0.250 3 | 0.493 3 | 0.392 2 | 0.092 8 | 0.234 1 | ||
正态分布 | 10 | 0.513 4 | 0.279 5 | 0.383 6 | 0.129 0 | 0.103 0 | 0.133 7 | |
20 | 0.655 8 | 0.331 4 | 0.484 5 | 0.299 1 | 0.143 7 | 0.248 7 | ||
30 | 0.692 3 | 0.344 2 | 0.492 0 | 0.384 6 | 0.184 6 | 0.370 0 | ||
40 | 0.712 3 | 0.353 0 | 0.493 7 | 0.427 1 | 0.216 9 | 0.454 1 | ||
50 | 0.719 7 | 0.355 3 | 0.492 5 | 0.454 3 | 0.239 2 | 0.482 9 |
Table 2
Node coordinates in network"
节点 | 时刻1 | 时刻2 | 时刻3 | 时刻4 | 时刻5 | 时刻6 |
1 | (3, 11) | (5, 11) | (12, 11) | (19, 14) | (22, 17) | (23, 16) |
2 | (24, 35) | (24, 33) | (27, 28) | (23, 29) | (27, 23) | (24, 34) |
3 | (31, 52) | (32, 50) | (27, 44) | (24, 38) | (26, 38) | (26, 39) |
4 | (32, 22) | (32, 22) | (29, 29) | (31, 30) | (33, 34) | (32, 20) |
5 | (36, 13) | (35, 11) | (34, 11) | (32, 7) | (37, 7) | (27, 1) |
6 | (37, 30) | (36, 29) | (40, 27) | (33, 28) | (36, 27) | (33, 21) |
7 | (38, 29) | (39, 29) | (37, 30) | (47, 29) | (48, 33) | (49, 30) |
⋯ | ⋯ | ⋯ | ⋯ | ⋯ | ⋯ | ⋯ |
Table 3
Network index at different times"
时刻 | 飞行状态网络 | 飞行冲突网络 | |||||
C | Dl | NE | C | Dl | NE | ||
1 | 0.771 8 | 0.442 3 | 0.541 2 | 0.557 5 | 0.338 0 | 0.629 8 | |
2 | 0.733 1 | 0.407 6 | 0.522 1 | 0.459 9 | 0.290 2 | 0.458 1 | |
3 | 0.749 6 | 0.360 9 | 0.498 4 | 0.463 2 | 0.240 3 | 0.451 2 | |
4 | 0.763 7 | 0.425 5 | 0.568 1 | 0.406 6 | 0.271 8 | 0.492 0 | |
5 | 0.778 9 | 0.398 4 | 0.551 3 | 0.496 5 | 0.303 3 | 0.630 8 | |
6 | 0.799 6 | 0.415 9 | 0.552 7 | 0.597 6 | 0.280 2 | 0.624 7 |
1 | International Civil Aviation Organization. Global air traffic management operational concept[R]. Montreal: International Civil Aviation Organization, 2005. |
2 | 中国民用航空局. 中国民航空管基于航迹运行(TBO)运行概念[R]. 北京: 空中交通管理局, 2019. |
Civil Aviation Administration of China. The concept of trajectory based operation (TBO) in China civil aviation air traffic management[R]. Beijing: Air Traffic Management Bureau, 2019. | |
3 | LAUDEMAN I V, SHELDEN S G, BRANSTROM R. Dynamic density: an air traffic management metric[R]. California: National Aeronautics and Space Administration, 1998. |
4 | DELAHAYE D, PUECHMOREL S. Air traffic complexity: towards intrinsic metrics[C]//Proc. of the 3rd USA Europe Air Traffic Management Research and Development Seminar, 2000. |
5 |
DELAHAYE D , PUECHMOREL S , HANSMAN R J . Airtraffic complexity map based on non linear dynamicalsystems[J]. Air Traffic Control, 2004, 12 (4): 367- 388.
doi: 10.2514/atcq.12.4.367 |
6 |
张进, 胡明华, 张晨. 空中交通管理中的复杂性研究[J]. 航空学报, 2009, 30 (11): 2132- 2142.
doi: 10.3321/j.issn:1000-6893.2009.11.019 |
ZHANG J , HU M H , ZHANG C . Complexity research in air traffic management[J]. Acta Aeronautica et Astronautica Sinica, 2009, 30 (11): 2132- 2142.
doi: 10.3321/j.issn:1000-6893.2009.11.019 |
|
7 |
XIAO M M , ZHANG J , CAI K Q . ATCEM: a synthetic model for evaluating air traffic complexity[J]. Journal of Advanced Transportation, 2016, 50 (3): 315- 325.
doi: 10.1002/atr.1321 |
8 |
ZHU X , CAO X B , CAI K Q . Measuring air traffic complexity based on small samples[J]. Chinese Journal of Aeronautics, 2017, 30 (4): 1493- 1505.
doi: 10.1016/j.cja.2017.04.018 |
9 | CAO X B , ZHU X , TIAN Z C . A knowledge-transfer-based learning framework for airspace operation complexity evaluation[J]. Transportation Research Part C-Emerging Technologies, 2018, 95 (1): 61- 81. |
10 | ANDRASI P , RADISIC T , NOVAK D . Subjective air traffic complexity estimation using artificial neural networks[J]. Promet-Traffic & Transportation, 2019, 31 (4): 377- 386. |
11 |
MALAKIS S , PSAROS P , KONTOGIANNIS T . Classification of air traffic control scenarios using decision trees: insights from a field study in terminal approach radar environment[J]. Cognition Technology & Work, 2020, 22 (1): 159- 179.
doi: 10.1007/s10111-019-00562-7 |
12 | 王红勇, 赵嶷飞, 温瑞英. 基于复杂网络的空中交通复杂性度量方法[J]. 系统工程, 2014, 32 (3): 112- 118. |
WANG H Y , ZHAO Y F , WEN R Y . Air traffic complexity metrics based on complex networks[J]. Systems Engineering, 2014, 32 (3): 112- 118. | |
13 |
WANG H Y , WEN R Y , ZHAO Y F . Analysis of topological characteristic in air traffic situation networks[J]. Proceedings of the Institution of Mechanical Engineers Part G: Journal of Aerospace Engineering, 2015, 229 (13): 2497- 2505.
doi: 10.1177/0954410015578482 |
14 | WANG H Y , SONG Z Q , WEN R Y . Study on evolution characteristics of air traffic situation complexity based on complex network theory[J]. Aerospace Science and Technology, 2016, 58 (1): 518- 528. |
15 |
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 |
16 |
吴明功, 王泽坤, 甘旭升, 等. 基于复杂网络理论的关键飞行冲突点识别[J]. 西北工业大学学报, 2020, 38 (2): 279- 287.
doi: 10.3969/j.issn.1000-2758.2020.02.007 |
WU M G , WANG Z K , GAN X S , et al. Identification of key flight conflict nodes based on complex network theory[J]. Journal of Northwestern Polytechnical University, 2020, 38 (2): 279- 287.
doi: 10.3969/j.issn.1000-2758.2020.02.007 |
|
17 | 吴明功, 叶泽龙, 温祥西, 等. 基于复杂网络的空中交通复杂性识别方法[J]. 北京航空航天大学学报, 2020, 46 (5): 839- 850. |
WU M G , YE Z L , WEN X X , et al. Air traffic complexity recognition based on complex networks[J]. Journal of Beijing University of Aeronautics and Astronautics, 2020, 46 (5): 839- 850. | |
18 | JIANG X R , WEN X X , WU M G . A complex network analysis approach for identifying air traffic congestion based on independent component analysis[J]. Physica A-Statistical Mechanics and its Applications, 2019, 523 (1): 364- 381. |
19 |
FIORINI P . Motion planning in dynamic environments using velocity obstacles[J]. International Journal of Robotics Research, 1998, 17 (7): 760- 772.
doi: 10.1177/027836499801700706 |
20 | DURAND N , BARNIER N . Does ATM need centralized coordination? Autonomous conflict resolution analysis in a constrained speed environment[J]. Air Traffic Control Quarterly, 2015, 23 (4): 710- 712. |
21 | 王倩茹, 岳炼. 昆明机场低能见度特征分析[J]. 科技与创新, 2020, 5, 72- 74. |
WANG Q R , YUE L . Analysis of low visibility characteristics at kunming airport[J]. Science and Technology & Innovation, 2020, 5, 72- 74. |
[1] | Haixiang XU, Cong HU, Wenzhao YU, Guoquan YAO. Variable depth control of buoyancy regulated UUV with input constraints [J]. Systems Engineering and Electronics, 2022, 44(11): 3496-3504. |
[2] | Cong WANG, Huiliang SHEN, Yongxiang XIA, Guanghan BAI, Yining FANG. Analysis of critical nodes in equipment support system [J]. Systems Engineering and Electronics, 2022, 44(10): 3134-3142. |
[3] | Youbin FU, Qiaoyan KANG, Jianfeng WANG, Haiyan HU, Shuo ZHAO. Intelligent deployment method of software-defined flying ad-hoc network controller based on label segmentation [J]. Systems Engineering and Electronics, 2022, 44(10): 3249-3257. |
[4] | Yantao WANG, Zheng YANG. Propagation and control improvement of flight operation risk network [J]. Systems Engineering and Electronics, 2021, 43(9): 2544-2552. |
[5] | Ang LI, Dangmin NIE, Xiangxi WEN, Zekun WANG, Chengxiu YANG. Operation situation assessment of control system based on interdependent network and SVM [J]. Systems Engineering and Electronics, 2021, 43(5): 1287-1294. |
[6] | Liben YANG, Wenjun WEI, Jianfeng YANG, Taiguo LI, Dong WANG. Improved ADRC attitude control algorithm for tilting dual-fan vector aircraft [J]. Systems Engineering and Electronics, 2021, 43(10): 2976-2983. |
[7] | Lingfeng GU, Ming HE, Guoyou CHEN, Minhui JI, Jintao LIU. Research on unmanned aerial vehicle swarm system resilience [J]. Systems Engineering and Electronics, 2021, 43(1): 156-162. |
[8] | QIN Chao, GAO Xiaoguang, CHEN Daqing. Distributed deep networks based on Bagging-Down SGD algorithm [J]. Systems Engineering and Electronics, 2019, 41(5): 1021-1027. |
[9] | LI Jiawei, WU Minggong, WEN Xiangxi, LIU Fei. Identifying key nodes and edges of complex networks based on the minimum connected dominating set [J]. Systems Engineering and Electronics, 2019, 41(11): 2541-2549. |
[10] | YIN Xunhe, WANG Wei, LAM Hak-Keung. Fuzzy logic wide-area damping control with delay compensation for power system [J]. Systems Engineering and Electronics, 2019, 41(10): 2343-2351. |
[11] | ZHAO Jing, ZHAO Shanghong, ZHAO Weihu, LI Yongjun. Strategy of controller placement in high reliability software defined airborne optical information network [J]. Systems Engineering and Electronics, 2018, 40(4): 885-890. |
[12] | WANG Ershen, WANG Yuwei, QU Pingping, LAN Xiaoyu, CHEN Jiamei. Effectiveness analysis of complex network edge attack strategy with cost [J]. Systems Engineering and Electronics, 2018, 40(4): 919-926. |
[13] | GUO Zhiyuan, YAO Xiaoxian, ZHANG Xin. Fixed-structure controller design for rockets based on robust gain scheduling [J]. Systems Engineering and Electronics, 2018, 40(3): 615-622. |
[14] | HAO Yucheng, LI Chengbing, WEI Lei. Cascading failure model of complex networks considering overloaded nodes [J]. Systems Engineering and Electronics, 2018, 40(10): 2282-2287. |
[15] | ZAN Xiang, CHEN Chunliang, ZHANG Shixin, CHEN Weilong, ZHANG Lijun. Dynamic evaluation method for equipment important degree considering weight-evolving [J]. Systems Engineering and Electronics, 2017, 39(9): 2022-2030. |
Viewed | ||||||
Full text |
|
|||||
Abstract |
|
|||||