摘要
受扰航班恢复问题是一个非常复杂的实时网络优化问题,属于NP-hard问题.同时考虑了飞机资源短缺、机场关闭和计划外的飞机维修情况,并采用航班延误、航班取消、航班交换等多种恢复措施.基于Dantzig-Wolfe分解原理,分别建立主问题和子问题的数学优化模型,采用列生成算法框架求解该大规模整数规划问题.在求解过程中,首先,构造初始可行航线,基于航线调用CPLEX软件对主问题进行求解;其次,针对研究问题的特征,提出一些性质,并采用改进的"label-setting algorithm"对子问题求解,每次迭代过程中加入多条具有简约成本为负的列,降低迭代次数,对于求得的非整数解采用分支定界法进行处理.最后,通过对多种规模的实际算例进行测试,验证了所采用精确算法的正确性及效果,并对测试结果进行分析总结.
The problem of disrupted flight recovery is a very complicated real-time network optimization problem,which belongs to NP-hard problem.Considering the situation caused by the shortage of aircraft resources,the closure of airports and the unplanned maintenance,this paper adopts multiple recovery options,such as flight delays,flight cancellations,flight swaps and so on.Based on Dantzig-Wolfe decomposition principle,the mathematical optimization models of master problem and sub-problem are established respectively.And column generation algorithm is introduced to solve this large integer programming problem.In the solving process,first,the initial feasible routes are constructed and the master problem is solved with CPLEX software based on the lines.Secondly,in view of the characteristics of the problem,some properties are proposed,then the sub-problem is solved by using the improved"label-setting algorithm",and in each iteration,multiple columns with reduced cost are added to reduce the number of iterations,then the branch and bound algorithm is used to handle the non-integer solutions.Finally,the correctness and efficiency of the method are verified by testing the practical instances of various scales,and the test results are analyzed and summarized.
作者
田倩南
李昆鹏
李文莉
徐东洋
TIAN Qiannan;LI Kunpeng;LI Wenli;XU Dongyang(Hubei Logistics Development Research Center,Hubei University of Economics,Wuhan 430205,China;School of Management,Huazhong University of Science and Technology,Wuhan 430074,China;Institute of Modern Logistics,Henan University,Kaifeng 475004,China)
出处
《系统工程理论与实践》
EI
CSSCI
CSCD
北大核心
2019年第11期2815-2827,共13页
Systems Engineering-Theory & Practice
基金
国家自然科学基金(71372133,71902054)~~
作者简介
田倩南(1989-),女,汉,河南驻马店人,博士,研究方向:调度优化问题,E-mail:1056686923@qq.com;李昆鹏(1978-),男,汉,湖北武汉人,教授,博士生导师,研究方向:供应链与物流管理,生产运作管理;李文莉(1992-),女,汉,河南周口人,博士研究生,研究方向:供应链与物流管理;通讯作者:徐东洋(1988-),男,汉,河南驻马店人,副教授,博士,研究方向:智能优化算法,E-mail:xdy_hust@163.com。
