四网融合背景下多制式轨道交通枢纽接续优化

doi:10.16097/j.cnki.1009-6744.2026.04.003

交通运输系统工程与信息 ›› 2026, Vol. 26 ›› Issue (4): 28-41.DOI: 10.16097/j.cnki.1009-6744.2026.04.003

四网融合背景下多制式轨道交通枢纽接续优化

梁辉^{1, 2a}，景云^{*2a, 2b}，张莹^2a，许景^2a

1. 兰州交通大学，交通运输学院，兰州 730070；2. 北京交通大学，a.交通运输学院，b.智慧高铁系统前沿科学中心，北京 100044

收稿日期:2026-03-10 修回日期:2026-05-05 接受日期:2026-06-21 出版日期:2026-08-25 发布日期:2026-08-21
作者简介:梁辉（1998— ），男，甘肃平凉人，博士生
基金资助:
国家自然科学基金联合基金 (U2368212)；国家自然科学基金 (52372300)

Optimization of Multi-system Rail Transit Hub Connection Under Four-network Integration

LIANG Hui^{1, 2a}, JING Yun^{*2a, 2b}, ZHANG Ying^2a, XU Jing^2a

1. School of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou 730070, China; 2a. School of Traffic and Transportation, 2b. Frontiers Science Center for Smart High-speed Railway Systemss, Beijing Jiaotong University, Beijing 100044, China

Received:2026-03-10 Revised:2026-05-05 Accepted:2026-06-21 Online:2026-08-25 Published:2026-08-21
Supported by:
Joint Funds of the National Natural Science Foundation of China (U2368212); National Natural Science Foundation of China (52372300)

摘要/Abstract

摘要： 轨道交通四网融合背景下，多制式轨道交通线路在综合客运枢纽接续异常复杂，本线客流与跨线客流相互交织，使列车时刻表、停站方案和旅客路径选择之间的耦合关系更加突出。本文考虑基于OD(Origin-Destination)客流需求的各制式轨道交通系统本线客流和跨线客流，借助列车-旅客多层时空网络引入基于弧段的列车和旅客选择决策变量，并在此基础上建立以旅客总出行时间最小的多商品网络流模型，研究多制式轨道交通列车时刻表、停站方案和乘客路径协同优化问题。基于模型复杂度，采用拉格朗日松弛算法求解，并设计基于对偶解的启发式方法求解原问题可行解。以京广高铁北京西—石家庄区段、京雄城际和北京城市副中心线组成的路网为实际场景，通过构建一个包含49列列车和345组旅客的案例验证本文所提出模型和算法的有效性。结果表明：76%的跨线旅客换乘时间控制在30 min以内，旅客平均换乘等待时间为11 min，并对相关参数做了灵敏度分析。

关键词: 铁路运输, 列车时刻表, 多层时空网络, 旅客路径, 拉格朗日松弛

Abstract: Against the background of the four-network integration in rail transit, the connection relationships among multi-system rail transit lines at comprehensive passenger hubs become highly complex. Local-line and cross-line passenger flows are intertwined, which makes the coupling among train timetabling, stop planning, and passenger routing more prominent. This study considers the origin-destination (OD) demand of both local-line and cross-line passengers across multiple rail transit systems. It constructs a multilayer train-passenger space-time network and introduces arc-based decision variables to represent train and passenger route choices.On this basis, a model of multi-commodity network flow is established with the objective of minimizing the total passenger travel time, which is used to address the collaborative optimization of multi-modal rail transit timetabling, stop planning, and passenger routing. Given the computational complexity of the model, this study develops a Lagrangian relaxation algorithm and designs a dual-solution-based heuristic to generate feasible solutions to the original problem. Finally, the effectiveness of the proposed model and algorithm is verified through a real-world case study on a network composed of the Beijing West-Shijiazhuang section of the Beijing-Guangzhou High-Speed Railway, the Beijing-Xiong'an Intercity Railway, and Beijing Sub-Center Line. The case includes 49 trains and 345 passenger groups.The results show that 76% of passengers have a transfer time within 30 minutes, and the average transfer waiting time of passengers is 11 minutes. Sensitivity analyses of relevant parameters are also conducted.

Key words: railway transportation, train timetable, multi-layer space-time network, passenger routing, Lagrangian relaxation

中图分类号:

U292.4

梁辉, 景云, 张莹, 许景. 四网融合背景下多制式轨道交通枢纽接续优化[J]. 交通运输系统工程与信息, 2026, 26(4): 28-41.

LIANG Hui, JING Yun, ZHANG Ying, XU Jing. Optimization of Multi-system Rail Transit Hub Connection Under Four-network Integration[J]. Journal of Transportation Systems Engineering and Information Technology, 2026, 26(4): 28-41.

导出引用管理器 EndNote|Ris|BibTeX

链接本文: http://www.tseit.org.cn/CN/10.16097/j.cnki.1009-6744.2026.04.003

http://www.tseit.org.cn/CN/Y2026/V26/I4/28

参考文献

[1] 牛惠民. 轨道列车时刻表问题研究综述[J].交通运输系统工程与信息, 2021, 21(5): 114-124. [NIU H M. Literature review on rail train timetabling problems[J]. Journal of Transportation Systems Engineering and Information Technology, 2021, 21(5): 114-124.]

[2] 朱昌锋, 高硕悦, 王傑, 等. 考虑乘客出行特性的城轨与市域铁路贯通运营开行方案研究[J].交通运输系统工程与信息, 2025, 25(6): 129-142. [ZHU C F, GAO S Y, WANG J, et al. Optimization of train operation plans for through operation between urban rail and regional railways[J]. Journal of Transportation Systems Engineering and Information Technology, 2025, 25(6): 129-142.]

[3] 龚帅宇, 徐行方, 鲁玉.省域铁路成网条件下列车开行方案优化[J]. 交通运输系统工程与信息, 2025, 25(2): 282-292. [GONG S Y, XU X F, LU Y. Optimization of train operation plans for through operation between urban rail and regional railways[J]. Journal of Transportation Systems Engineering and Information Technology, 2025, 25(2): 282-292.]

[4] CHAI S, YIN J, TANG T, et al. Integrated capacity allocation and timetable coordination for multimodal railway networks[J]. Transportation Research Part C: Emerging Technologies, 2024, 165: 104681.

[5] HUANG Z, MA X, TIAN X, et al. Train timetable synchronization optimization for subway-suburban rail transfer systems: A double-level discretization approach [J]. Computers & Industrial Engineering, 2025, 207: 111314.

[6] 陈喜春, 杨阳, 田小鹏.城际与市域铁路过轨运输下列车时刻表和停站方案协同优化[J].交通运输系统工程与信息, 2025, 25(4): 241-253. [CHEN X C, YANG Y, TIAN X P. Collaborative optimization of train timetabling and stop planning forintercity and suburban railways in cross-line operations[J]. Journal of Transportation Systems Engineering and Information Technology, 2025, 25(4): 241-253.]

[7] KE Y, WU X, NIE L, et al. Synchronizing train, aircraft, shuttle, and passenger flows in intermodal timetabling: A time-space network-based formulation and a decomposition algorithm using alternating direction method of multipliers[J]. Transportation Research Part C: Emerging Technologies, 2024, 159: 104464.

[8] 温芳, 柏赟, 陈垚.考虑快慢车的城轨跨线运营开行方案与时刻表优化[J].交通运输系统工程与信息, 2024, 24(3): 172-183. [WEN F, BAI Y, CHEN Y. Optimization of operation scheme and timetable for interconnected lines in urban rail transit considering express-local train [J]. Journal of Transportation Systems Engineering and Information Technology, 2024, 24(3): 172-183.]

[9] YIN J, WANG M, D'ARIANO A, et al. Synchronization of train timetables in an urban rail network: A bi-objective optimization approach[J]. Transportation Research Part E: Logistics and Transportation Review, 2023, 174: 103142.

[10] SHANG P, LI R, LIU Z, et al. Equity-oriented skip-stopping schedule optimization in an oversaturated urban rail transit network[J]. Transportation Research Part C: Emerging Technologies, 2018, 89: 321-343.

[11] YAO Z, NIE L, YUE Y, et al. Network periodic train timetabling with integrated stop planning and passenger routing: A periodic time-space network construct and ADMM algorithm[J]. Transportation Research Part C: Emerging Technologies, 2023, 153: 104201.

[12] 梁辉, 景云, 戴邵杰, 等. 考虑旅客期望出行时间的列车时刻表与停站方案一体化优化[J].铁道学报, 2026, 48(2): 1- 8. [LIANG H, JING Y, DAI S J, et al. Optimization of demand-oriented train timetable and stop planning considering passenger expected departure time [J]. Journal of the China Railway Society, 2026, 48(2): 1-8.]

[13] 高如虎. 柔性列车运行图优化及交替方向乘子法[D]. 兰州:兰州交通大学, 2021. [GAO R H. Optimizing flexible train timetables by using alternating direction method of multipliers[D]. Lanzhou: Lanzhou Jiaotong University, 2021.]

[14] 梁辉. 四网融合旅客需求数据[EB/OL]. (2026-03-13) [2026-03-16]. https:// www. researchgate. net/ doi/ 10. 13140/RG.2.2.15829.28641. [LIANG H. Passenger demand data for the four-network integration[EB/OL]. (2026-03-13) [2026-03-16]. https://www.researchgate. net/doi/10.13140/RG.2.2.15829.28641.]

[1]	邓连波, 傅敬恩, 唐诗雨, 周文梁. 基于旅客到发时段选择的高速铁路列车开行方案优化[J]. 交通运输系统工程与信息, 2026, 26(4): 253-264.
[2]	莫鹏里, 连得亨, 王维巧, 杨立兴, 高自友. 不确定载重下面向峰值功率抑制的列车节能优化方法[J]. 交通运输系统工程与信息, 2026, 26(3): 47-59.
[3]	林柏梁, 李想. 双层嵌套决策下的列车编组计划与运行图综合优化[J]. 交通运输系统工程与信息, 2026, 26(3): 315-326.
[4]	袁博, 周黎, 高金科, 张新, 郭一唯, 李博. 基于分步协同的城际铁路运行图与股道运用优化方法[J]. 交通运输系统工程与信息, 2026, 26(3): 371-380.
[5]	宋绪扬, 刘方达, 庞文丰, 王芳盛, 万怀宇. 城轨车站进站大客流自适应预警智能体研究[J]. 交通运输系统工程与信息, 2026, 26(2): 113-124.
[6]	王鑫伟, 许琰, 孙立山. 基于灵活编组策略的列车时刻表与车厢分配协同优化研究[J]. 交通运输系统工程与信息, 2026, 26(2): 221-231.
[7]	卢霞, 毛保华, 陈硕, 梁肖, 王敏. 公铁竞争下考虑货物差异定价的铁路集装箱班列开行方案优化[J]. 交通运输系统工程与信息, 2026, 26(1): 24-33.
[8]	陈维亚, 叶凤女, 李朵, 袁子越. 单基地固定区段动车组乘务交路计划优化编制方法[J]. 交通运输系统工程与信息, 2026, 26(1): 148-160.
[9]	钟文健, 李想, 高政, 卢迪燊, 林柏梁. 可预知任务变动下的高铁乘务排班计划优化[J]. 交通运输系统工程与信息, 2026, 26(1): 161-171.
[10]	高如虎, 何佳睿, 张晓倩, 张莹. 基于交替方向乘子法的高铁快运网络服务方案优化[J]. 交通运输系统工程与信息, 2026, 26(1): 172-183.
[11]	许景, 景云, 邓连波, 梁辉, 蒋子文. 高铁列车差异化动态定价与席位分配协同优化方法[J]. 交通运输系统工程与信息, 2026, 26(1): 184-193.
[12]	严梦荣, 徐光明. 随机需求下高铁快运定价与货流分配协同优化[J]. 交通运输系统工程与信息, 2026, 26(1): 194-204.
[13]	景云, 王琪, 王思源, 吴明泽. 考虑旅客多维出行需求的高速铁路票额分配优化研究[J]. 交通运输系统工程与信息, 2025, 25(5): 193-204.
[14]	杨菊花, 唐嘉, 田志强, 宋琦. 高铁快运网络化需求预测与分配[J]. 交通运输系统工程与信息, 2025, 25(5): 226-235.
[15]	陈喜春, 杨阳, 田小鹏. 城际与市域铁路过轨运输下列车时刻表和停站方案协同优化[J]. 交通运输系统工程与信息, 2025, 25(4): 241-253.

四网融合背景下多制式轨道交通枢纽接续优化

Optimization of Multi-system Rail Transit Hub Connection Under Four-network Integration

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics