群组模式下单线重载铁路运行图编制方法
Compiling Method of Single Track Heavy Haul Railway Operating Diagram in Group Tracking Mode

列车群组运行是以加密方式扩充重载铁路运能的重要途径，基于群组运行模式特点，以提升群组运行模式下单线重载铁路列车运行图铺画效率为目标，提出单线重载铁路群组列车区间运行时分、停站时分、机车折返作业时间等基础信息表示方法，分析群组运行模式下车站间隔时间、不同列车交会、同向列车禁止越行等相关约束。构建基于列车停站时分最短与机车折返作业时间最短的运行图编制模型。提出一种基于改进惯性权重、学习因子、Pareto最优解集更新方法及添加交叉变异操作的多目标粒子群求解算法，最后以包神北线为例，对模型进行了验证。结果表明，对比现有包神北线重载铁路运输能力提高47.6%，同时降低线路利用率6.5%。
Train group operation is an important way to enhance the capacity of overloaded railways through increased frequency. This study aims to improve the efficiency of train schedule planning for single-track overloaded railways under the group operation model. It proposes methods for representing essential information such as interval running times, station stop times, and locomotive turnaround times. The analysis includes constraints like station spacing, train passing, and prohibiting overtaking for same-direction trains. A scheduling model is constructed focusing on minimizing stop times and turnaround times. An improved multi-objective particle swarm optimization algorithm is introduced, featuring adaptive inertia weights, learning factors, and Pareto optimal solution updates with crossover and mutation operations. Finally, the model is validated using the Baoshen North Line, demonstrating a 47.6% increase in transport capacity while reducing line utilization by 6.5%.