城市轨道交通列车大小交路开行方案优化
|
摘要
为解决断面客流空间分布不均衡程度较高的城市轨道交通线路上不同交路区段中列车相互制约、不能以最小列车运行图周期周转的问题,基于"运行图周期分析法"理论来确定不同交路区段中列车运行图周期,将其作为计算运用车数和固定运营成本的依据。以列车开行数量、行车间隔以及编组数为决策变量,以乘客在站候车时间成本、车辆固定运营成本以及虚糜运能成本最小化为目标函数,建立多目标非线性混合整数优化模型。通过将各项成本换算为总成本,原模型简化为单目标优化模型并进行实例分析。结果表明,列车大小交路开行方案相较常规交路开行方案,总成本有明显下降,从而验证了模型的可行性与有效性。
On the urban rail transit with imbalanced distribution of cross section passenger flow, the operations of trains on different routes are incompatible and the trains cannot run at the minimum cycle of the train working diagram. To solve this problem, the train working diagram cycle analysis method is applied to define the train working diagram cycle, which is used as the basis of fleet and fixed operation cost calculation. A multi-objective nonlinear mixed integer programming model is established by selecting the passenger in-station waiting time cost, fleet fixed operation cost and capacity waste cost minimization as the objective functions. Different costs are converted into a total cost and the original model is optimized as a single-objective model, which is then verified with actual cases. The results show that, compared with the classic operation plan, the long and short routing operation plan helps reduce the total cost. The model is proved to be feasible and valid.
On the urban rail transit with imbalanced distribution of cross section passenger flow, the operations of trains on different routes are incompatible and the trains cannot run at the minimum cycle of the train working diagram. To solve this problem, the train working diagram cycle analysis method is applied to define the train working diagram cycle, which is used as the basis of fleet and fixed operation cost calculation. A multi-objective nonlinear mixed integer programming model is established by selecting the passenger in-station waiting time cost, fleet fixed operation cost and capacity waste cost minimization as the objective functions. Different costs are converted into a total cost and the original model is optimized as a single-objective model, which is then verified with actual cases. The results show that, compared with the classic operation plan, the long and short routing operation plan helps reduce the total cost. The model is proved to be feasible and valid.
引文
[1]毛保华,陈绍宽,刘智丽.城市轨道交通规划与设计[M].北京:人民交通出版社,2011.
[2]王媛媛,倪少权.城市轨道交通大小交路模式列车开行方案的优化[J].铁道学报,2013,35(7):1-8.WANG Yuanyuan,NI Shaoquan.Optimization of Train Schedules of Full-Length&Short-Turn Operation Modes in Urban Rail Transit[J].Journal of the China Railway Society,2013,35(7):1-8.
[3]许得杰,毛保华,雷莲桂.城市轨道交通大小交路列车开行方案优化研究[J].交通运输系统工程与信息,2017,17(1):120-126.XU Dejie,MAO Baohua,LEI Liangui.Optimization for Train Plan of Full-length and Short-turn Routing in Urban Rail Transit[J].Journal of Transportation Systems Engineering and Information Technology,2017,17(1):120-126.
[4]田晟,马美娜,杨锦明.基于大小交路优化的地铁行车组织方案[J].交通信息与安全,2017,35(1):112-118.TIAN Sheng,MA Meina,YANG Jinming.An Organization Scheme for Metro Traffic based on Long-Short Route Optimization[J].Journal of Transportation Information and Safety,2017,35(1):112-118.
[5]王永岗,张俊,武艳,等.基于断面客流特征的城市轨道交通行车组织优化方法[J].城市轨道交通研究,2017,20(4):11-16.WANG Yonggag,ZHANG Jun,WU Yan,et al.Optimization of Urban Rail Transit Operation Plan based on the Characteristics of Cross-Section Passenger Flow[J].Urban Mass Transit,2017,20(4):11-16.
[6]徐瑞华,陈菁菁,杜世敏.城轨交通多种列车交路模式下的通过能力和车底运用研究[J].铁道学报,2005,27(4):6-10.XU Ruihua,CHEN Jingjing,DU Shimin.Study on Carrying Capacity and Use of Rolling Stock with Multirouting in Urban Rail Transit[J].Journal of the China Railway Society,2005,27(4):6-10.
[7]SYNN J.Systems Approach to Metro Netword Design[D].Pennsylvania:Pennsylvania University,2005.
[8]杨利强,黄亮,张宁,等.基于Mixed Logit模型的城市轨道交通出行时间价值估计[J].城市轨道交通研究,2015,18(5):29-32,37.YANG Liqiang,HUANG Liang,ZHANG Ning,et al.Calculation of Travel Time Value for Urban Rail Transit Based on Mixed Logit Model[J].Urban Mass Transit,2015,18(5):29-32,37.
[9]张鹏,金龙,张天伟.以节省乘客旅行时间为目标的城市轨道交通快慢车停站方案[J].铁道运输与经济,2016,39(10):90-94.ZHANG Peng,JIN Long,ZHANG Tianwei.Planning Stops of Urban Rail Transit System with a Target of Maximizing Total[J].Railway Transport and Economy,2016,39(10):90-94.
[2]王媛媛,倪少权.城市轨道交通大小交路模式列车开行方案的优化[J].铁道学报,2013,35(7):1-8.WANG Yuanyuan,NI Shaoquan.Optimization of Train Schedules of Full-Length&Short-Turn Operation Modes in Urban Rail Transit[J].Journal of the China Railway Society,2013,35(7):1-8.
[3]许得杰,毛保华,雷莲桂.城市轨道交通大小交路列车开行方案优化研究[J].交通运输系统工程与信息,2017,17(1):120-126.XU Dejie,MAO Baohua,LEI Liangui.Optimization for Train Plan of Full-length and Short-turn Routing in Urban Rail Transit[J].Journal of Transportation Systems Engineering and Information Technology,2017,17(1):120-126.
[4]田晟,马美娜,杨锦明.基于大小交路优化的地铁行车组织方案[J].交通信息与安全,2017,35(1):112-118.TIAN Sheng,MA Meina,YANG Jinming.An Organization Scheme for Metro Traffic based on Long-Short Route Optimization[J].Journal of Transportation Information and Safety,2017,35(1):112-118.
[5]王永岗,张俊,武艳,等.基于断面客流特征的城市轨道交通行车组织优化方法[J].城市轨道交通研究,2017,20(4):11-16.WANG Yonggag,ZHANG Jun,WU Yan,et al.Optimization of Urban Rail Transit Operation Plan based on the Characteristics of Cross-Section Passenger Flow[J].Urban Mass Transit,2017,20(4):11-16.
[6]徐瑞华,陈菁菁,杜世敏.城轨交通多种列车交路模式下的通过能力和车底运用研究[J].铁道学报,2005,27(4):6-10.XU Ruihua,CHEN Jingjing,DU Shimin.Study on Carrying Capacity and Use of Rolling Stock with Multirouting in Urban Rail Transit[J].Journal of the China Railway Society,2005,27(4):6-10.
[7]SYNN J.Systems Approach to Metro Netword Design[D].Pennsylvania:Pennsylvania University,2005.
[8]杨利强,黄亮,张宁,等.基于Mixed Logit模型的城市轨道交通出行时间价值估计[J].城市轨道交通研究,2015,18(5):29-32,37.YANG Liqiang,HUANG Liang,ZHANG Ning,et al.Calculation of Travel Time Value for Urban Rail Transit Based on Mixed Logit Model[J].Urban Mass Transit,2015,18(5):29-32,37.
[9]张鹏,金龙,张天伟.以节省乘客旅行时间为目标的城市轨道交通快慢车停站方案[J].铁道运输与经济,2016,39(10):90-94.ZHANG Peng,JIN Long,ZHANG Tianwei.Planning Stops of Urban Rail Transit System with a Target of Maximizing Total[J].Railway Transport and Economy,2016,39(10):90-94.