基于极大代数的高速列车运行延误模型研究  

Study on Delay Model of High-speed Train Operation based on Maximum Algebra

作　　者：姜雯[1] 李晓娟[2] 

机构地区：[1]陕西铁路工程职业技术学院管理工程系,陕西渭南714000 [2]北京交通大学交通运输学院,北京100044

出　　处：《铁道运输与经济》2015年第1期66-71,共6页Railway Transport and Economy

基　　金：陕西铁路工程职业技术学院科学研究基金项目(2014-17)

摘　　要：基于极大代数线性系统理论和运行图建立列车运行模型状态矩阵,分别研究建立列车顺序运行和区段列车或越行列车2种情况的列车运行系统。通过对线性系统输入矩阵或初始状态矩阵的参数设置,可以对任意列车在任意停站车站的发车时刻增加延误扰动,并基于所加扰动导致的延误列车本身及其他被影响列车的延误情况研究高速铁路列车运行延误模型。最后以某高速铁路实际列车运行情况建模,并通过仿真进行计算分析,验证模型的可行性。Based on linear system theory of maximum algebra and train working diagram, the status matrix of train operation model was established, and the train operation system was studied and established under 2 conditions respectively, which are train sequential operation and sectional train or overtaking train. Through setting up parameters of input matrix or original status matrix in linear system, the delay perturbations could be added to the departure time of any trains at any stopping stations, and based on the delayed train itself caused by added perturbation and the delay situation of other influenced trains, the delay model of high-speed railway train operation was studied. In the end, the modeling was taken according to actual train operation status of certain high-speed railway, and the computational analysis was taken through simulation as to validate the feasibility of the model.

关 键 词：列车运行 延误 极大代数 高速铁路 模型 

分 类 号：U292.914[交通运输工程—交通运输规划与管理]