潮汐客流下地铁列车不成对运行图优化模型  

Optimization Model of Unpaired Timetable for Metro Trains under Asymmetric Passenger Flow

作　　者：李纵然 柏赟[1,2] 陈垚[1,2] 明先俊 曹耘文 LI Zongran;BAI Yun;CHEN Yao;MING Xianjun;CAO Yunwen(School of Traffic and Transportation,Beijing Jiaotong University,Beijing 100044,China;Key Laboratory of Transport Industry of Big Data Application Technologies for Comprehensive Transport,Beijing Jiaotong University,Beijing 100044,China;Zhuhai Institute of Urban Planning and Design,Zhuhai Guangdong 519000,China;Shanghai Rail Transit Operation Management Center,Shanghai Shentong Metro Co.,Ltd.,Shanghai 200070,China)

机构地区：[1]北京交通大学交通运输学院,北京100044 [2]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 [3]珠海市规划设计研究院,广东珠海519000 [4]上海申通地铁集团有限公司上海轨道交通运营管理中心,上海200070

出　　处：《中国铁道科学》2022年第6期207-218,共12页China Railway Science

基　　金：国家自然科学基金资助项目(71971016,71621001,72101019)。

摘　　要：针对具有潮汐客流需求的双车场地铁线路的高峰时段,研究列车不成对运输组织模式在不增加上线车底数的情况下,合理调配双方向运能的方法,提出结合单向车、快慢车模式的不成对运输组织方案。以乘客总出行成本和列车运营成本为目标函数,以行车间隔和列车容量等为约束条件,构建考虑车底周转计划的不成对列车运行图混合整数非线性优化模型;运用改进的遗传算法对模型进行求解,并以某条地铁线路为例验证模型及算法的有效性。结果表明:优化模型求解的不成对方案使乘客总出行成本降低7.1%,列车运营成本下降17.8%,高峰时段上线车底减少6列;与全慢车方案相比,结合快慢车模式的不成对方案使得总目标函数值减少4.2%;灵敏度分析得出不成对运输组织模式适用于客流方向不均衡系数较大、运营高峰时段较短的地铁线路。In view of the asymmetric passenger demands of metro lines with double-depot during peak hours,this paper studies the unpaired transportation organization mode to reasonably allocate the bi-directional transport capacity without increasing the number of on-line rolling stocks.An unpaired operation timetable combining the single-direction train and the skip-stop strategy is proposed.Taking the total passenger travel cost and the train operation cost as objective functions,a mixed integer nonlinear programming model of unpaired train timetable considering the rolling stock circulation plan is established,with the constraints of headway and train capacity.An improved genetic algorithm is applied to solve this model,and a metro line is taken as an instance to verify the effectiveness of the proposed method.The results show that the unpaired timetable can reduce the total passenger travel cost by 7.1%,the train operation cost by 17.8%,and the number of on-line rolling stocks by 6 during peak hours.Compared with the all-stop strategy,the unpaired timetable combining the skip-stop strategy can reduce the total value of objective function by 4.2%.Sensitivity analysis shows that the unpaired transportation organization mode is suitable for metro lines with large directional unbalance coefficients and short operation periods during peak hours.

关 键 词：地铁 运输组织 列车不成对运行图 潮汐客流 双车场 快慢车模式 

分 类 号：U293.6[交通运输工程—交通运输规划与管理]