铁道运输与经济2024，Vol.46Issue(2)：20-29,39,11.DOI:10.16668/j.cnki.issn.1003-1421.2024.02.03
基于客流博弈均衡的旅客列车双层开行方案优化
Optimization of Bi-level Passenger Train Operation Plan Based on Game Equilibrium of Passenger Flow
摘要
Abstract
To improve the efficiency of passenger train operation and passengers'satisfaction,this paper built a bi-level programming model of pure integer nonlinear passenger train operation plan for high speed railway.It took the net profit of the railway operation department and the minimization of empty seat kilometers as the upper 0-1 programming model,and the maximization of passengers'satisfaction as the lower passenger flow equilibrium model.For the lower-level passenger flow equilibrium model,the paper selected the homogeneous group of passengers as the game players to construct the reasonable winning function of each player by dividing the game environment and analyzing the passengers'travel choice behavior.The non-cooperative game theory was applied to the balanced distribution of passenger flow in each game environment.After analyzing the characteristics of the model,the paper adopted the non-dominated sorting genetic algorithm Ⅱ(NSGA-Ⅱ)to solve the upper-level stopping plan model and the quantum-behaved particle swarm optimization(QPSO)algorithm to solve the lower-level passenger flow game equilibrium model.With Lanzhou-Xinjiang High Speed Railway as an example,the feasibility of the model and algorithm was verified.The results show that the algorithm can obtain a Nash equilibrium solution that satisfies both railway operators and passengers,and the loss rate of railway passengers is 0%.关键词
铁路运输/高速铁路旅客列车开行方案/整数非线性双层规划/非合作博弈/客流均衡Key words
Railway Transportation/Passenger Train Operation Plan of High Speed Railway/Nonlinear Integer Bi-level Programming/Non-Cooperative Game/Passenger Flow Equilibrium分类
交通工程引用本文复制引用
汤振源..基于客流博弈均衡的旅客列车双层开行方案优化[J].铁道运输与经济,2024,46(2):20-29,39,11.基金项目
国家重点研发计划项目(71861022) （71861022）
