Abstract: Considering the continuous arrival characteristics of outside arrival passenger flow and the impulsive feature of transferring passengers, this paper investigates the metro train timetabling and passenger flow control strategy under the influence of transferring passengers. This paper formulates an integer nonlinear collaborative optimization model for the metro train timetabling and passenger flow control strategy, which aims to minimize the number of detained passengers. The proposed model is reformulated into an integer linear programming model by introducing the 0-1 decision variables. A case study of a real-world urban rail transit line is performed to verify the effectiveness of the proposed approach, which is solved by the CPLEX software. The results reveal that, the proposed approach has good optimization quality and computational efficiency. Compared to the plan only optimize timetables, the obtained plan reduced the number of detained passengers by 17.69% and the service level was significantly improved. This study provides theoretical support for the high-quality operation of the urban rail transit system.

Key words: urban traffic, passenger flow control, train timetable, transfer in passenger flow, integer linear programming

摘要： 在轨道交通网络化运营条件下，针对高峰期车站拥挤问题，综合考虑站外到达乘客的持续 性到达特征和换入客流的脉冲性到达特征，研究换入客流影响下的列车时刻表与客流控制问题。 具体的，以最小化乘车延误人数为目标，考虑乘客换乘约束、列车容量约束等，构建城轨列车时刻 表与客流控制协同优化非线性规划模型，并引入0-1决策变量将其转化为整数线性规划模型。为 验证模型有效性，以某轨道交通线路实际运营数据为背景，借助优化求解器CPLEX对模型进行求 解。结果表明，本文所提方法具有良好的优化效果和计算效率，与优化前相比，乘车延误人数可显 著降低；与仅优化列车时刻表方案相比，协同优化方法可使乘车延误人数减少17.69%，可有效提升 轨道交通的服务水平，为城市轨道交通系统高质量运营提供一定的理论支撑。

关键词: 城市交通, 客流控制, 列车时刻表, 换入客流, 整数线性规划