轨道交通延误条件下列车跳站与客流控制协同优化模型

针对城市轨道交通突发列车延误问题，统筹考虑行车秩序的恢复和乘客出行体验，提出列车调整与客流控制协同优化方法。首先分析延误条件下城轨列车调整和客流控制的措施及效果，构建以跳站停车和多车站客流控制为手段的双层线性规划模型。上层模型以列车总延误最小为目标，以列车载客能力为约束；下层模型以上车客流量最大为目标，以列车载客能力和控流率均衡为约束。采用灵敏度分析算法求解模型，并以北京地铁亦庄线故障延误事件为例，验证模型和算法的有效性。结果表明：采用跳站停车与进站客流协同控制可使延误列车行程时间缩短5.2%，使各车站进站率方差降低97.8%，在保障乘客公平性的条件下提高列车运行和乘客集散效率。

Coordinated Optimization Model of Rail Transit Delayed Train Stop-skip Pattern and Passenger Flow Control

To respond to the train delay in the urban rail transit, a train rescheduling and passenger flow coordinated control method is proposed with collaborative consideration of the restoration of train traffic order and passenger travel experience. Firstly, this paper analyzes the measures and effects of train rescheduling and passenger flow control, and a linear bi-level programming model is constructed by stop- skip rescheduling and multi- station passenger flow coordinated control. The upper- level model aims at minimizing the total train delay, and takes train capacity as the constraint; the lower-level model aims at maximizing the number of riding passengers, and takes train capacity and passenger flow control rate equalization as the constraint. A sensitivity analysis based algorithm is used to solve the bilevel model, and the effectiveness of the model and algorithm is verified by taking a delay event of the Beijing Subway Yizhuang Line as a case study. The case results show that by adopting the stop- skip rescheduling and multi- station passenger flow coordinated control method, the travel time of rescheduled trains can be shortened by 5.2% and the variance of entrance rate of each station can be reduced by 97.8%. The method proposed in this paper increases the efficiency of train traffic and passenger travel under the condition of ensuring the fairness of passengers.