城市轨道交通跨线列车开行方案优化研究

在城市轨道交通线网规模迅速扩张和客流需求快速增长的背景下，针对现有的单线运营模式导致的乘客换乘次数多、系统资源共享程度不高等问题，研究跨线列车开行方案优化以弥补上述不足。根据设施设备跨线运营基本条件、列车跨线次数和跨线客流需求生成跨线交路备选集，以备选跨线交路和本线交路的发车频率为决策变量，考虑线路通过能力、列车满载率和区间交路数量上限约束，以乘客换乘次数最少和出行时间最短为原则，对各OD乘客组进行客流分配，建立线网层面的跨线列车开行方案优化模型，最小化列车运行成本和乘客出行成本。应用模拟退火算法求解模型。南宁地铁线网的案例分析结果表明，相比于单线运营模式，跨线运营模式可使总成本降低6.18%，其中乘客时间成本降低7.33%，乘客换乘次数减少13.79%，可实现成本节约，提升线网服务质量和乘客出行效率的目标。

Optimizing Cross-line Train Service Planning in Urban Rail Transit Network

This paper focuses on optimizing cross-line operation schemes in urban rail transit systems to address issues such as multiple passenger transfers and low resource sharing caused by the existing single-line operation mode. The study generates an alternative set of cross-line routing based on facilities, cross-line demand, and other factors, and uses departure frequencies as decision variables. An optimization model is established to minimize the total cost of train operation and passenger travel, while considering constraints such as line capacity and train full load rate. The model is solved using a simulated annealing algorithm. Case studies on Nanning subway network show that the cross-line operation mode can significantly reduce total cost, passenger time cost, and passenger transfer times compared to the single-line operation mode, leading to cost savings and improved network service quality.