交通运输系统工程与信息 ›› 2020, Vol. 20 ›› Issue (6): 226-232.

• 系统工程理论与方法 • 上一篇    下一篇

改进的协同航路分配优化模型及算法研究

郭野晨风,胡明华,张颖*,谢华   

  1. 南京航空航天大学 民航学院,南京 211106
  • 收稿日期:2020-08-12 修回日期:2020-09-22 出版日期:2020-12-25 发布日期:2020-12-25
  • 作者简介:郭野晨风(1991-),男,江苏南通人,博士生.
  • 基金资助:

    国家自然科学基金/National Natural Science Foundation of China(71731001, 61773203);江苏省研究生科研与实践创新计划项目/Postgraduate Research & Practice Innovation Program of Jiangsu Province(KYCX19_0197).

Improved Model and Algorithm for Optimizing Collaborative Trajectory Options Program

GUO Ye-chen-feng, HU Ming-hua, ZHANG Ying, XIE Hua   

  1. School of Civil Aviation, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
  • Received:2020-08-12 Revised:2020-09-22 Online:2020-12-25 Published:2020-12-25

摘要:

为优化协同航路分配程序,利用基尼系数定义一个新的公平性能指标,构建同时兼顾效率和公平性的双目标非线性整数规划模型,采用基于航班优先级排列的染色体编码方式设计一种改进的遗传算法,融合满意解的选择过程.仿真算例结果显示,与现有算法相比,改进遗传算法得到的最终满意解使空域运行效率提高9.3%,航空公司公平性提高33.7%.结果表明,改进的遗传算法能快速获得真实帕累托前沿,且最终满意解能在空域运行效率和资源分配公平性上得到显著提升,说明本文模型及算法合理.

关键词: 航空运输, 资源分配优化, 遗传算法, 协同航路分配程序, 多目标优化, 公平性

Abstract:

To optimize the collaborative trajectory options program (CTOP), the Gini coefficient is firstly introduced to define a new metric of equity. A bi- objective integer nonlinear programming model is formulated considering the performance of efficiency and equity. An improved genetic algorithm is applied to solve the model, which uses an array of integers representing a flight priority order to code the chromosome and adds a process to choose the satisfactory solution. According to the simulation, the final satisfactory solution based on the improved algorithm brings a 9.3% increase in the airspace operating efficiency and a 33.7% increase in the airlines' equity, compared with the solution solved by the current practical algorithm. The result shows the improved algorithm produces the true Pareto frontiers quickly, and the final satisfactory solution both improves the efficiency and equity significantly.

Key words: air transportation, resources allocation optimization, genetic algorithm, collaborative trajectory options program, multi-objective optimization, equity

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