交通运输系统工程与信息 ›› 2025, Vol. 25 ›› Issue (3): 276-287.DOI: 10.16097/j.cnki.1009-6744.2025.03.025

• 系统工程理论与方法 • 上一篇    下一篇

高铁快运专列运行图加线方法研究

帅斌1a,1b,1c,刘一江1a,许旻昊*2,谢安昊1a,孙宗胜1a,法慧妍3   

  1. 1. 西南交通大学,a.交通运输与物流学院,b.综合交通运输智能化国家地方联合工程实验室,c. 综合交通大数据应用技术国家工程实验室,成都611756;2.兰州交通大学,自动化与电气工程学院,兰州730070;3.中国铁路济南局集团有限公司,济南250001
  • 收稿日期:2024-06-05 修回日期:2024-09-04 接受日期:2025-03-13 出版日期:2025-06-25 发布日期:2025-06-22
  • 作者简介:帅斌(1967—),男,四川乐山人,教授,博士。
  • 基金资助:
    国家铁路局项目(Q113620S06001);甘肃省自然科学基金(25JRRA222);甘肃省高校教师创新基金项目(2025B-063)。

Method of Adding High-speed Express Trains to Existing Train Timetable

SHUAI Bin1a,1b,1c, LIU Yijiang1a, XU Minhao*2, XIE Anhao1a, SUN Zongsheng1a, FA Huiyan3   

  1. 1a. School of Transportation and Logistics, 1b. National United Engineering Laboratory of Integrated and Intelligent Transportation, 1c. National Engineering Laboratory of Integrated Transportation Big Data Application Technology, Southwest Jiaotong University, Chengdu 611756, China; 2. School of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China; 3. China Railway Jinan Group Co Ltd, Jinan 250001, China
  • Received:2024-06-05 Revised:2024-09-04 Accepted:2025-03-13 Online:2025-06-25 Published:2025-06-22
  • Supported by:
    National Railway Administration Project(Q113620S06001);Natural Science Foundation of Gansu Province, China (25JRRA222);Innovative Foundation for Universities Teachers of Gansu Province, China (2025B-063)。

摘要: 为安全高效地组织开行新增高铁快运专列,满足快捷货物运输市场日益增长的需求,本文对快运专列运行图加线方法展开研究。新增快运专列不得影响原有旅客列车时刻表,并且与旅客列车相比,快运专列的运行径路选择更灵活。针对这些特点,本文在不调整旅客列车的前提下,通过K短路算法求解各专列运行径路备选集,并在此基础上于路网层面构建快运专列加线模型。模型以所有专列运行总耗时最短为目标,综合考虑列车运行径路规划与列车运行图两方面的约束,并将模型转化为整数线性规划模型,利用Gurobi进行求解。本文通过成都、重庆和贵阳地区的局部路网进行实例验证。结果显示:相较于固定运行区段加线模型,本文所构建的模型不仅能实现更多专列的成功加线,而且使运行总耗时压缩35.50%,有效提升了快运专列的运输效率;特别是随着运行径路备选集规模扩大,成功加线的专列数量进一步增加,运输效率的提升效果也更加显著。此外,本文在求解过程中采用“热启动”加速策略,能有效加快上下界收敛速度,进而提升求解效率。

关键词: 铁路运输, 列车运行图加线方法, 整数线性规划模型, 列车运行图, 高铁快运专列

Abstract: To organize the operation of newly added high-speed express trains and meet the growing demand in the express goods transportation market safely and efficiently, this study investigates a method of adding high-speed express trains to the existing train timetable. Express trains must not disrupt existing passenger train schedules. Compared to passenger trains, express trains have more flexibility in selecting their routes. Given these traits, this study proposes an express train addition model in the network using the K-shortest path algorithm to generate alternative routes for each express train, without changing the passenger train schedules. The model aims to minimize the total travel time of all express trains by considering constraints related to train routing and scheduling. After being transformed into an integer linear programming form, the model is solved by Gurobi. The study verifies the proposed model using data from selected railway lines among Chengdu, Chongqing, and Guiyang. The result shows that compared to the model in a fixed district, the proposed model can increase the number of added express trains and reduce the travel time of all express trains by up to 35.50%, which indicates the effectiveness of the proposed method in improving the efficiency of express train operation. Moreover, as the scale of alternative routes for each express train expands, the number of successfully added express trains further increases, and the improvement in transport efficiency becomes more pronounced. The study also adopts a "warm start" acceleration strategy, which can enhance solution efficiency by accelerating the convergence rate of the upper and lower bounds in the model.

Key words: railway transportation, adding trains to existing train timetable, integer linear programming model, train timetable, high-speed express trains

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