考虑航班调度和不确定维修时间的飞机维修路径规划方法
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作者单位:

1.中国民航大学空中交通管理学院,天津 300300;2.北京航空航天大学电子信息工程学院,北京 100086;3.中国民航大学电子信息与自动化学院,天津 300300;4.中国民航大学航空工程学院,天津 300300

作者简介:

通讯作者:

吴维,男,副教授,E-mail:wwu@cauc.edu.cn。

中图分类号:

X949

基金项目:

中央高校基本科研业务费项目中国民航大学专项(3122025098)。


An Aircraft Maintenance Routing Planning Method Considering Flight Scheduling and Uncertain Maintenance Time
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Affiliation:

1.College of Air Traffic Management, Civil Aviation University of China, Tianjin 300300, China;2.College of Electronic Information Engineering, Beihang University, Beijing 100086, China;3.College of Electronic Information and Automation, Civil Aviation University of China, Tianjin 300300, China;4.College of Aeronautical Engineering, Civil Aviation University of China, Tianjin 300300, China

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    摘要:

    航空公司核心资源的高效调度对于提升航班运行效率、降低运营成本具有重要意义。针对航班和飞机两类核心资源,提出了一种考虑不确定维修访问时间的飞机维修路径规划模型,该模型同时考虑了航班延误传播、维修站剩余容量动态变化以及飞机维修时间不确定性等关键因素。为高效求解该模型,引入Dantzig-Wolfe分解方法,将原问题分解为主问题和定价子问题,并设计了结合标签算法求解子问题的改进分支定价算法。通过数值实验验证了所提模型和算法的有效性,结果表明,考虑不确定维修访问时间的模型相比传统模型能有效缓解维修站飞机维修的拥堵,最大可减少同时刻飞行维修排队数量的50%,随着机队数量增多,延误时间最多减少87.5%;求解效率上,针对中小规模上相较于IBM的CPLEX最大可减少67.1%,针对大规模且获得最优解前提下相较于CPLEX可减少14%。

    Abstract:

    The efficient scheduling of airline core resources is crucial for enhancing flight operation efficiency and reducing operational costs. This paper proposes a novel aircraft maintenance routing planning model that incorporates uncertain maintenance time for two types of core resources: Flights and aircraft. The model simultaneously considers key factors such as flight delay propagation, dynamic remaining capacity of maintenance stations, and uncertainty in aircraft maintenance duration. To solve this complex model, the Dantzig-Wolfe decomposition method is introduced to break it down into a master problem and pricing sub-problems. An improved branch-and-price algorithm, which integrates a labeling algorithm to solve the sub-problems, is designed. Numerical experiments verify the effectiveness of the proposed model and the algorithm. The results demonstrate that, compared to traditional models, the proposed model with uncertain maintenance access time can effectively alleviate congestion at maintenance stations, reducing the maximum simultaneous maintenance queue by up to 50%. As the fleet size increases, the delay time can be reduced by up to 87.5%. Compared to IBM’s CPLEX, the proposed algorithm achieves a maximum reduction in solution time of 67.1% for small and medium-scale instances, and a 14% reduction for large-scale instances while obtaining the same optimal solution.

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吴维,吴泽萱,樊后荣,马妍婧.考虑航班调度和不确定维修时间的飞机维修路径规划方法[J].南京航空航天大学学报,2025,57(6):1200-1211

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  • 收稿日期:2025-05-18
  • 最后修改日期:2025-10-22
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  • 在线发布日期: 2025-12-18
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