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摘要: 为了制定安全、高效的空中交通管理战术决策, 研究了多跑道降落航班协同调度问题。基于协同决策理念, 综合考虑空管、航空公司和机场等因素, 提出一种协同航班调度策略, 给出了协同调度优化模型。模型在满足安全性和公平性约束条件下, 寻求总延误成本最小即功效性最大的调度方案。采用基尼系数建立公平性约束, 以处理功效性和公平性之间的关系, 并引入当量航班概念来定量分析公平性。针对多跑道航班调度问题的特点, 设计了遗传算法予以求解验证。仿真结果表明: 该算法总延误成本比先到先服务算法降低了72.6%, 最大延误时间减小了50.8%, 因此, 调度的功效性与公平性得到提高, 所提方法有效。Abstract: In order to make an efficient tactical decision in air traffic management, a collaborative aircrafts scheduling problem(CASP) was studied.Based on the idea of collaborative decision-making, an optimization model was proposed for CASP with interests of air traffic control(ATC), airlines and airports.With security constraint and equity constraint, the model minimized the total delay cost to find out optimal scheduling schemes.The equity constraint was set up by using Gini coefficient so as to deal with the relationship with efficiency.An idea of equivalent flight was introduced to analyze equity quantitatively.A genetic arithmetic was designed to solve the proposed model.Simulation result shows that compared with the computational result of first-come-first-served(FCFS), total delay cost is saved by 72.6%, maximal flight delay time is reduced by 50.8%, so the safety and efficiency of scheduling scheme are improved, and the proposed method is feasible.
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表 1 调度仿真结果
Table 1. Result of scheduling simulation
表 2 不同参数下的优化结果
Table 2. Optimization results with different parameters
表 3 不同参数下的平均损失百分比
Table 3. Average loss percents with different parameters
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[1] 徐肖豪, 姚源. 遗传算法在终端区飞机排序中的应用[J]. 交通运输工程学报, 2004, 4(3): 121-126. http://transport.chd.edu.cn/article/id/200403029XU Xiao-hao, YAO Yuan. Application of genetic algorithmto aircraft sequencingin terminal area[J]. Journal of Trafficand Transportation Engineering, 2004, 4(3): 121-126. (in Chinese) http://transport.chd.edu.cn/article/id/200403029 [2] BEASLEYJ E, KRISHNAMOORTHY M, SHARAI HA Y M, et al. Scheduling aircraft landings-the static case[J]. Trans-portation Science, 2000, 34(2): 180-197. doi: 10.1287/trsc.34.2.180.12302 [3] BEASLEYJ E, SONANDERJ, HAVELOCK P. Schedulingaircraft landings at London Heathrow using a populationheuristic[J]. Journal of the Operational Research Society, 2001, 52(5): 483-493. doi: 10.1057/palgrave.jors.2601129 [4] CAPRI S, IGNACCOLO M. Genetic algorithms for solvingthe aircraft-sequencing problem: the introduction of depar-tures into the dynamic model[J]. Journal of Air TransportManagement, 2004, 10(5): 345-351. [5] 杨秋辉, 游志胜, 冯子亮, 等. 一种改进的基于遗传算法的多跑道到达飞机调度[J]. 四川大学学报: 工程科学报, 2006, 38(2): 141-145. https://www.cnki.com.cn/Article/CJFDTOTAL-SCLH200602028.htmYANG Qiu-hui, YOU Zhi-sheng, FENG Zi-liang, et al. Scheduling arrival aircrafts on multiple runways based on ani mproved genetic algorithm[J]. Journal of Sichuan University: Engineering Science Edition, 2006, 38(2): 141-145. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-SCLH200602028.htm [6] 徐肖豪, 黄宝军. 终端区飞机排序的模糊综合评判方法研究[J]. 航空学报, 2001, 22(3): 259-261. doi: 10.3321/j.issn:1000-6893.2001.03.008XU Xiao-hao, HUANG Bao-jun. Study of fuzzy integratedjudge method applied to the aircraft sequencing in the terminalarea[J]. Acta Aeronautica et Astronautica Sinica, 2001, 22(3): 259-261. (in Chinese) doi: 10.3321/j.issn:1000-6893.2001.03.008 [7] FAHLE T, FELDMANN R, G TZ S, et al. The aircraftsequencing problem[C]//KLEI N R. Computer Science inPerspective. New York: Springer-Verlag, 2003: 152-166. [8] SOOMER MJ, FRANX G J. Scheduling aircraft landingsusing airlines preferences[J]. European Journal of Opera-tional Research, 2008, 190(1): 277-291. doi: 10.1016/j.ejor.2007.06.017 [9] 余江, 刘晓明, 蒲云. 飞机着陆调度问题的MPS优化算法研究[J]. 系统工程理论与实践, 2004, 24(3): 119-122, 133. https://www.cnki.com.cn/Article/CJFDTOTAL-XTLL200403020.htmYUJiang, LI U Xiao-ming, PU Yun. Research on MPS opti-mization to landing schedule problem[J]. Systems Engineering-theory & amp; amp; Practice, 2004, 24(3): 119-122, 133. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-XTLL200403020.htm [10] VOSSEN T, BALL M. Opti mization and mediated barteringmodels for ground delay programs[J]. Naval Research Logis-tics, 2006, 53(1): 75-90. [11] 徐肖豪, 李雄. 航班地面等待模型中的延误成本分析与仿真[J]. 南京航空航天大学学报, 2006, 38(1): 115-120. https://www.cnki.com.cn/Article/CJFDTOTAL-NJHK200601022.htmXU Xiao-hao, LI Xiong. Cost analysis of flight delays andsi mulation in ground-holding model[J]. Journal of NanjingUniversity of Aeronautics and Astronautic, 2006, 38(1): 115-120. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-NJHK200601022.htm