基于零和博弈的终端区飞机进场排序优化  

Aircraft Approach Ranking Optimization in Terminal Area based on Zero-sum Game

作　　者：廖勇[1] 赵世昌 吴煜昕 张丹 LIAO Yong;ZHAO Shi-chang;WU Yu-xin;ZHANG Dan(Civil Aviation Flight University of China,Guanghan 618000,China)

机构地区：[1]中国民用航空飞行学院,四川广汉618000

出　　处：《航空计算技术》2025年第1期93-97,107,共6页Aeronautical Computing Technique

基　　金：四川省科技计划项目资助(23ZDYF0586);中国民用航空飞行学院博士创新能力提升计划项目资助(PHD2023-038)。

摘　　要：随着航空需求增长,中国推进多机场终端区的构建,如“一市两场”计划。然而,多机场终端区的扩展带来了进场排序混乱和拥堵问题。为解决该问题,提出了一种多机场终端区飞机进场排序模型。为减少权重确定的主观性,通过零和博弈理论平衡机场、航空公司和空中交通管制部门的目标,将零和博弈模型转化为线性规划问题,选择最优目标函数和解,并结合多个目标函数及其权重,实现混合策略Nash均衡,得到客观权重。最终通过精英保留遗传算法求解模型,并在某终端区进行实例验证。结果显示,相比传统多目标优化方法,零和博弈模型有效减少了权重确定的主观性,实现了三方的Nash均衡,优化了排序过程,提高了终端区域的运行效率。As aviation demand grows,China is promoting the construction of multi-airport terminal areas,such as the"One City,Two Markets"plan.However,the expansion of the terminal area at multiple airports has created confusion and congestion in the sequencing of approaches.In order to solve this problem,this paper proposes a multi-airport terminal area aircraft approach co-ranking model based on previous achievements.In order to reduce the subjectivity of weight determination,this paper balances the goals of airports,airlines and air traffic control departments through zero-sum game theory,transforms the zero-sum game model into a linear programming problem,selects the optimal objective function to solve,and combines multiple objective functions and their weights to achieve a mixed strategy Nash equilibrium and obtain objective weights.Finally,the model is solved by the elite retention genetic algorithm,and the instance verification is carried out in a terminal area.The results show that compared with the traditional multi-objective optimization method,the zero-sum game model effectively reduces the subjectivity of weight determination,realizes the Nash equilibrium of the three parties,optimizes the sorting process,and improves the operation efficiency of the terminal area.

关 键 词：多机场终端区 飞机进场排序 零和博弈 精英保留遗传算法 

分 类 号：V355[航空宇航科学与技术—人机与环境工程]