Abstract: This paper considers a multi-objective optimization problem of aircraft routing recovery under the disruption of single fleet multi-aircraft in one airport. Firstly, according to the common principles of practical airline flight rescheduling and basic ideas of airline disruption management, one multi-objective programming model is established based on connection network, and two objectives are listed according to their priorities. One is to minimize the maximal flight delay time and the other is to minimize the number of swapping aircraft respectively. Secondly, several optimization characters of the model are analyzed in accordance with the feathers of flight waves of the problem and combined with stratified sequencing method. And then one polynomial algorithm is designed based on quick sort algorithm and minimum cost path algorithm. Finally, a case study is given to illustrate the effectiveness of the algorithm. The outcome of this research could provide theoretical and practical supports for airlines to reduce flight delays.

Key words: aircraft routing recovery, multi-objectives programming, stratified sequencing method, flight waves, polynomial algorithm

摘要： 本文针对同一机场中同机型的多架飞机受到干扰后, 飞机路径恢复的多目标最优化问题进行研究。首先根据航空公司实际航班调整的常用原则和航班干扰管理的基本思想, 基于连接网络建立多目标规划模型, 其中两个目标按照优先级排列:第一个目标为最小化航班的最大延误时间, 第二个目标为最小化参与交换的飞机数量。然后根据该问题的航班波结构特点, 结合求解多目标规划的分层序列法, 分析优化问题的若干最优性质, 并基于快速排序算法和最小费用路算法设计出多项式算法。最后用算例验证了算法的有效性。该研究结果可以为航空公司减少航班延误提供理论和技术支持。

关键词: 飞机路径恢复, 多目标规划, 分层序列法, 航班波, 多项式算法