考虑城市轨道交通折返进路占用的大小交路列车运行组织优化  

Optimization on train operation organization of full-length and short-turn routing mode considering the occupation of turn-back route

作　　者：谭彬彬 金华 刘爽[1,2] 陈绍宽[1,2] TAN Binbin;JIN Hua;LIU Shuang;CHEN Shaokuan(Key Laboratory of Transport Industry of Big Data Application Technologies for Comprehensive Transport,Beijing Jiaotong University,Beijing 100044,China;Integrated Transport Research Center of China,Beijing Jiaotong University,Beijing 100044,China)

机构地区：[1]北京交通大学综合交通运输大数据应用技术交通运输行业重点实验室,北京100044 [2]北京交通大学中国综合交通研究中心,北京100044

出　　处：《铁道科学与工程学报》2022年第8期2161-2168,共8页Journal of Railway Science and Engineering

基　　金：北京市自然科学基金资助项目(L191023)。

摘　　要：折返能力是限制城市轨道交通运行图通过能力的重要因素之一,传统城市轨道交通列车运行组织优化问题通常采用折返时间刻画折返约束。对于折返情况较为复杂的大小交路模式,从折返进路占用角度考虑折返约束可以深挖折返能力,并且合理、灵活地排列折返进路,在保证高峰时期列车顺利实施折返接续的同时进行线路通过能力的优化。建立大小交路模式下考虑列车折返进路占用的列车运行组织优化模型,从运营角度出发以线路通过能力最大为目标,综合考虑列车运行、折返接续、线路配属车底数等约束,借助累积0-1变量表示折返列车的进路占用,能够实现在优化列车运行组织的同时明确折返列车在折返站内部轨道资源上的占用时长。模型利用Gurobi商业求解器进行求解验证。案例以模型优化结果作为实验组,基于折返间隔推算得到的列车运行图作为对照组,分析考虑折返进路占用对线路通过能力的影响,背景为一条大小交路列车模式下的双向城市轨道交通虚拟线路。案例结果表明,在大小交路列车运行组织计划编制阶段考虑折返列车的进路占用,可以进一步压缩列车折返间隔,提高折返效率。相比传统方法中利用折返间隔计算公式推算出列车运行组织计划,考虑城市轨道交通折返进路占用的列车运行组织优化能降低周期时间,提高线路整体通过能力。Turn-back capacity is one of the important factors that limit the rail capacity of urban rail transit operation diagrams.The traditional urban rail transit train operation organization optimization problem is usually solved by using turn-back interval to represent the turn-back related constraints.For the full-length and short-turn routing mode,rail capacity can be further improved by introducing turn-back related constraints from the perspective of the occupation of trains’turn-back routes.Moreover,considering the occupation of trains’turnback routes is conducive to achieving reasonable and flexible arrangement of the turn-back routes and ensuring the smooth implementation of train connection in peak hours while optimizing the rail capacity simultaneously.This paper proposed a train operation organization optimization model considering the occupation of trains’turnback routes under the full-length and short-turn routing mode.From the perspective of operation,the objective was to maximize the rail capacity and comprehensively ensured the constraints of train tracking operation,turnback operation and a restricted number of allocated vehicles.The occupation of turn-back route was represented based on cumulative 0-1 variables so that the occupation duration of each train on the turn-back track was able to be calculated during optimizing the train operation.This model was solved by Gurobi solver.The case study analysed the impact of considering the occupation of trains’turn-back routes on rail capacity based on a virtual two-way urban rail transit line under the full-length and short-turn routing mode.Optimization result obtained by the model was used as the experimental group,and the train operation diagram calculated based on the turn-back interval was used as the control group.The results show that considering the occupation of turn-back route can further reduce the turn-back intervals and improve the turn-back efficiency at the planning stage of train operation organization plan of full-length and short-t

关 键 词：城市轨道交通 列车运行组织 折返进路占用 大小交路模式 

分 类 号：U292.4[交通运输工程—交通运输规划与管理]