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航班的合理降落排序是减少航班延误，提高服务质量的重要手段之一.空管人员在进行决策时，其评价标准往往不是单一的和同向的.本文将跑道上的飞机降落排序建模成单机多目标调度问题，重点讨论了此类问题的帕累托优化求解.建立的整数规划模型能够在航班降落过程中，对航班加权延误数量和所有延误航班的最长晚点时间两目标值进行协调并根据现场实际情况灵活地进行取舍.利用共享信息素机制的多目标蚁群算法对模型进行求解.最后的算例结果显示，与传统的启发式方法相比较，本文的方法不仅能够求得更好的结果，还能为空管人员提供一个相对直观的调度策略选择方案.

Multi-objectives Optimization on Flights Landing Sequence at Busy Airport

The optimized landing sequence of fight is one of the good methods to decrease delay and improve service.Especially,the objectives are usually conflicting and contradictive when the air traffic controller(ATC) makes the decision.The landing sequence at the busy airports can be regarded as one machine scheduling problem with multi-objectives in the paper,and the pareto optimization is discussed emphatically.The mathematic model is formulated which makes the tradeoff between the number of weighted delayed flights and the maximum time of the delayed flight,and then flexibly choose solutions.The multi-objective ant colony algorithm which shares the pheromone between multi-objectives is utilized to solve the problem.Results show that the proposed algorithm performs well when compared with the traditional heuristic methods and can help ATC choosing different landing sequences according to the real conditions.