收稿日期: 2025-04-15
网络出版日期: 2025-07-18
基金资助
国家自然科学基金项目(72471024)
Optimization of Cross-Line Train Operation Scheme for Passenger Flow Corridors in Urban Rail Transit
Received date: 2025-04-15
Online published: 2025-07-18
Supported by
the National Natural Science Foundation of China(72471024)
城市轨道交通客流廊道区域连接城市核心区和不同城市圈层的主要功能区,是城市空间资源和经济活动集中分布的区域,其运输效率对轨道交通网络能力及社会经济活动具有重要影响。因此,针对城市轨道交通客流廊道区域,基于“一干多支”的客流廊道拓扑结构,提出以企业运营成本、乘客出行成本、满载率不均衡系数为目标的多目标非线性优化模型。模型以发车频率和编组方案为决策变量,并设计NSGA-Ⅱ算法进行求解。以北京市回龙观/天通苑—中关村客流廊道为例,验证模型的有效性,结果表明,该模型可有效匹配职住组团间的多方向出行需求。为验证模型的优化效果,提出改进的基于距离的最优解求解方法,求得最优解,乘客出行总时间、企业运营成本和满载率不均衡系数分别为2 639.17 h、103 716.24元、0.086;相较分线独立运营方案,乘客出行时间降低14.09%,满载率不均衡系数降低43.01%,企业运营成本增加17.22%;同时,在复杂线网中,干线区段的最大通过能力和分支区段的最小服务水平的限制对优化方案的效果造成了较大影响。通过提高干线能力上限,研究能力限制对客流廊道列车开行方案优化的影响,结果显示,在提高线路通过能力的条件下,帕累托解的多样性增加,乘客出行时间显著降低,服务的均衡性提高。研究结果为进一步优化跨线开行方案和实际运营提供了相应的经验指导。
许奇 , 庞立言 , 薛力恺 , 李洁珲 , 贺鹏 . 城市轨道交通客流廊道跨线列车开行方案的优化[J]. 华南理工大学学报(自然科学版), 2025 , 53(12) : 61 -70 . DOI: 10.12141/j.issn.1000-565X.250107
Urban rail transit passenger flow corridor connect core urban areas with key functional zones across different urban spatial layers, representing concentrated areas of urban spatial resources and economic activities. Their transportation efficiency significantly impacts both the capacity of the rail transit network and socio-economic activities. Focusing on these corridors, this study adopts a “trunk line with multiple branches” topological structure to develop a multi-objective nonlinear optimization model that minimizes enterprise operational costs, passenger travel costs, and load factor imbalance. The model uses train frequency and marshaling plans as decision variables as decision variables, solved via an NSGA-Ⅱ algorithm. Using Beijing’s Huilongguan/Tiantongyuan-Zhongguancun corridor as a case study, the model demonstrates effective accommodation of multi-directional travel demand between residential and employment hubs. To evaluate optimization performance, an improved distance-based optimal solution selection method identifies a solution with 2 639.17 h (passenger travel time), 103 716.24 yuan (operational cost), and 0.086 (load factor imbalance). Compared to isolated line operation schemes, this achieves 14.09% reduction in passenger travel time and 43.01% lower load factor imbalance, with a 17.22% increase in operational costs. At the same time, in complex line networks, the restrictions of the maximum carrying capacity of the main line section and the minimum service level of the branch section have a great impact on the effect of the optimization scheme. By increasing the upper limit of the main line capacity, the study investigates the impact of capacity restrictions on the optimization of train operation schemes in passenger flow corridors. The results show that under the condition of improving the line carrying capacity, the diversity of Pareto solutions increases, passenger travel time is significantly reduced, and the balance of service is improved. These findings provide empirical guidance for cross-line operation planning and practical rail transit management.
| [1] | 许得杰,毛保华,陈绍宽,等 .考虑开行比例的大小交路列车开行方案优化[J].交通运输工程学报,2021,21(2):173-186. |
| XU De-jie, MAO Bao-hua, CHEN Shao-kuan,et al .Optimization of operation scheme for full-length and short-turn routings considering operation proportion[J].Journal of Traffic and Transportation Engineering,2021,21(2):173-186. | |
| [2] | 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 Rui-hua, CHEN Jing-jing, DU Shi-min .Study on carrying capacity and use of rolling stock with multi-routing in urban rail transit[J].Journal of the China Railway Society,2005,27 (4):6-10. | |
| [3] | 张慧,蒋佳锟,鲜楚逸,等 .混合交路模式下城市轨道交通交路计划与时刻表综合优化研究[J].铁道运输与经济,2023,45(12):171-180. |
| ZHANG Hui, JIANG Jiakun, XIAN Chuyi,et al .Comprehensive optimization of routing plan and timetable of urban rail transit based on nested rail route[J].Railway Transport and Economy,2023,45(12):171-180. | |
| [4] | 明瑞利,叶霞飞 .东京地铁与郊区铁路直通运营的相关问题研究[J].城市轨道交通研究,2009,12(1):21-25. |
| MING Ruili, YE Xiafei .Through operations between subways and suburban lines in Tokyo[J].Urban Mass Transit,2009,12(1):21-25. | |
| [5] | 李伟,黄嘉琪,罗钦,等 .面向Y型线路的城市轨道交通在线编解灵活编组运营模式研究[J].铁道学报,2025,47(4):12-24. |
| LI Wei, HUANG Jiaqi, LUO Qin,et al .Research of train schedule using flexible train composition under online coupling/decoupling mode for Y-type lines in urban rail transit[J].Journal of the China Railway Society,2025,47(4):12-24. | |
| [6] | 李正洋,赵军,彭其渊 .考虑多交路多编组的城市轨道线路列车交路计划优化[J].铁道学报,2020,42(6):1-11. |
| LI Zhengyang, ZHAO Jun, PENG Qiyuan .Optimizing the train service route plan in an urban rail transit line with multiple service routes and multiple train sizes [J].Journal of the China Railway Society,2020,42(6):1-11. | |
| [7] | 宋展鹏,田小鹏,牛惠民,等 .灵活编组条件下城市轨道交通列车时刻表与车底运用综合优化[J].铁道科学与工程学报,2025,22(7):2960-2972. |
| SONG Zhanpeng, TIAN Xiaopeng, NIU Huimin,et al .Integrated optimization of train timetable and rolling stock circulation with flexible composition strategies for an urban rail transit line[J].Journal of Railway Science and Engineering,2025,22(7):2960-2972. | |
| [8] | 杨安安,孙继营,汪波,等 .基于虚拟编组技术的大小交路列车开行方案优化[J].北京交通大学学报,2022,46(4):9-14. |
| YANG An’an, SUN Jiying, WANG Bo,et al .Optimization of virtual-coupling-orientated train operation plan based on full-length and short-turn routing[J].Journal of Beijing Jiaotong University,2022,46(4):9-14. | |
| [9] | 陈垚,柏赟,毛保华,等 .跨线条件下城市轨道交通列车交路计划优化方法[J].铁道学报,2024,46(8):21-29. |
| CHEN Yao, BAI Yun, MAO Baohua,et al .Optimization of train routing plan for interconnected Lines in Urban Rail Transit[J].Journal of the China Railway So-ciety,2024,46(8):21-29. | |
| [10] | 谭丽,韦子文 .基于CCLPSO算法的Y型交路列车开行方案优化研究[J].铁道科学与工程学报,2019,16(8):2122-2129. |
| TAN Li, WEI Ziwen .Optimization research of train schedule of Y-type train routing mode based on CCLPSO algorithm[J].Journal of Railway Science and Engineering,2019,16(8):2122-2129. | |
| [11] | 梁青槐,柴树山,邓京维 .区域轨道交通跨线运行行车密度优化模型[J].北京交通大学学报,2020,44(1):20-26. |
| LIANG Qinghuai, CHAI Shushan, DENG Jingwei .Optimization model of train operation density for cross-line in regional rail transit[J].Journal of Beijing Jiaotong University,2020,44(1):20-26. | |
| [12] | 魏润斌,贾顺平,童瑞咏,等 .一般树型线条件下的列车开行方案优化研究[J].华南理工大学学报(自然科学版),2022,50(11):44-51,81. |
| WEI Runbin, JIA Shunping, TONG Ruiyong,et al .Optimization of train planning for general tree-type line [J].Journal of South China University of Technology(Natural Science Edition),2022,50(11):44-51,81. | |
| [13] | 茧敏,陈绍宽,王卓,等 .城市轨道交通网络跨线列车开行方案优化模型研究[J].交通运输系统工程与信息,2024,24(5):116-127. |
| JIAN Min, CHEN Shaokuan, WANG Zhuo,et al .Cross-line train service plan optimization in urban rail transit network[J].Journal of Transportation Systems Engineering and Information Technology,2024,24(5):116-127. | |
| [14] | 黄俊生,陈垚,张安英,等 .考虑互联互通的城市轨道交通网络列车开行方案优化[J].铁道科学与工程学报,2023,20(5):1587-1597. |
| HUANG Junsheng, CHEN Yao, ZHANG Anying,et al .Optimization of urban rail network operation scheme considering interconnection[J].Journal of Railway Science and Engineering,2023,20(5):1587-1597. | |
| [15] | SUN L S, LU H B, XU Y, et al .Fairness-oriented train service design for urban rail transit cross-line operation[J].Physica A:Statistical Mechanics and Its Applications,2022,606:128124/1-27. |
| [16] | 田佩宁,童瑞咏,王海鹏,等 .城市轨道交通跨环线的跨线列车开行方案优化[J].吉林大学学报(工学版),2025,55(1):132-140. |
| TIAN Pei-ning, TONG Rui-yong, WANG Hai-peng,et al .Optimization of cross-line train operation across the urban rail transit loop line[J].Journal of Jilin University(Engineering and Technology Edition),2025,55(1):132-140. | |
| [17] | 魏润斌,贾顺平,毛保华,等 .考虑满载率均衡的城市轨道交通直通运营开行方案优化[J].哈尔滨工业大学学报,2023,55(3):68-77. |
| WEI Runbin, JIA Shunping, MAO Baohua,et al .Train planning optimization for through operation of urban rail transit considering load balance[J].Journal of Harbin Institute of Technology,2023,55(3):68-77. |
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