需求驱动下城轨客货协同运输时刻表与车底周转优化:以济南轨道交通2号线为例
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作者单位:

1.兰州交通大学;2.济南轨道交通集团运营有限公司

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中图分类号:

U121

基金项目:

国家自然科学基金(52462045);甘肃省自然科学基金重点项目(24JRRA221);甘肃省自然科学基金优秀博士生项目(25JRRA216)


Optimization of Timetable and Rolling Stock Circulation for Demand-Driven Urban Rail Transit with Integrated Passenger-Freight Service: A Case Study of Jinan Rail Transit Line 2
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1.Traffic and Transportation College,Lanzhou Jiaotong University;2.Jinan Rail Transit Group Operation Co,Ltd

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    摘要:

    在需求驱动与客货协同运输的背景下,为缓解城市轨道交通平峰期运力闲置与城市物流需求快速增长之间的矛盾,研究在不增配关键资源的前提下,围绕列车时刻表与车底周转构建协同优化框架,以提升系统综合效能。以单条双向城市轨道交通线路为研究对象,在预设客运列车运行图的基础上,构建以客运列车到发时刻调整总量与货运列车总运行时间最小化为目标的混合整数线性规划模型。该模型综合考虑列车区间运行、站内作业、安全间隔、折返回库及车底周转接续等现实约束,通过线性化技术处理目标函数中的绝对值项,利用商业求解器Gurobi进行求解。并设置“需求全覆盖(站站停)”与“选择性覆盖(跨站停)”两类情景参数,用于评估不同需求覆盖强度下的系统权衡与协同效应。以济南轨道交通2号线为实例验证了方法的可行性,模型在限定计算时间内收敛,与固定车底接续的基准方案相比,综合目标仅为基准的29.8%,协同优化显著降低综合目标值与客运侧时刻扰动;在同一协同框架下,选择性覆盖相较全覆盖进一步降低综合目标并缩短计算时间。研究表明,所提出的需求驱动协同优化方法,能够有效释放平峰期冗余运力、兼顾乘客体验与货运效率,为城市轨道交通开展平峰期客货协同运输服务提供高效且可落地的解决方案。

    Abstract:

    Under the background of demand-driven and passenger-cargo collaborative transportation, to alleviate the contradiction between the idle transportation capacity of urban rail transit during off-peak periods and the rapid growth of urban logistics demand, the study constructs a collaborative optimization framework centered on train timetables and rolling stock turnover without adding key resources, aiming to improve the efficiency of the comprehensive system. Taking a single bidirectional urban rail transit line as the research object, on the basis of a preset passenger train diagram, a mixed-integer linear programming model is established with the objectives of minimizing the total adjustment of passenger train arrival and departure times and the total running time of freight trains. The model comprehensively considers practical constraints such as inter-station train operation, in-station operations, safety intervals, return-to-depot, and rolling stock turnover connection. The absolute value terms in the objective function are processed through linearization technology, and the commercial solver Gurobi is used for solution. Two types of scenario parameters, the "full demand coverage (all-station stop)" and the "selective demand coverage (skip-stop)", are set to evaluate the system trade-offs and collaborative effects under different demand coverage intensities. A case study of Jinan Rail Transit Line 2 verifies the feasibility of the proposed method. The model converges within the limited computation time. Compared with the benchmark scheme with fixed rolling stock connection, the comprehensive objective is only 29.8% of that of the benchmark. Collaborative optimization significantly reduces the comprehensive objective value and passenger-side timetable disturbances. Under the same collaborative framework, selective coverage further reduces the comprehensive objective and shortens the computation time compared with full coverage. The research shows that the proposed demand-driven collaborative optimization method can effectively release redundant capacity during off-peak periods, balance passenger experience and freight efficiency, and provide an efficient and implementable solution for urban rail transit to carry out off-peak passenger-cargo collaborative transportation services.

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杜安,李海军,田卫刚,等. 需求驱动下城轨客货协同运输时刻表与车底周转优化:以济南轨道交通2号线为例[J]. 科学技术与工程, , ():

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  • 收稿日期:2026-02-01
  • 最后修改日期:2026-06-04
  • 录用日期:2026-07-27
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