基于遗传算法的高峰时段车站协同限流方法

申梦君; 董宁宁; 李铁柱; 郭竞文; 刘慧

doi:10.3963/j.jssn.1674-4861.2024.01.015

基于遗传算法的高峰时段车站协同限流方法

doi: 10.3963/j.jssn.1674-4861.2024.01.015

1.
东南大学交通学院南京 211189
2.
南京地铁运营有限责任公司南京 211135
3.
南京铁道职业技术学院运输管理学院南京 210031

基金项目:

国家重点研发计划项目 2021YFE0112700

江苏轨道交通产业发展协同创新基地开放基金项目 N0.GCXC2104

详细信息

作者简介:
申梦君（2000—），硕士研究生. 研究方向: 城市轨道交通客流分配. E-mail: 2392198543@qq.com

通讯作者:
李铁柱（1971—），博士，教授. 研究方向：城市轨道交通运营. E-mail: litiezhu@seu.edu.cn

中图分类号: U293.5+4
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- 被引次数: 0
出版历程
- 收稿日期: 2023-03-29
- 网络出版日期: 2024-05-31

A Method for Coordinated Passenger Flow Control at Stations During Peak Period Based on Genetic Algorithms

1.
School of Transportation, Southeast University, Nanjing 211189, China
2.
Nanjing Metro Operation Co., Ltd, Nanjing 211135, China
3.
School of Transportation and Management, Nanjing Vocational Institute of Railway Technology, Nanjing 210031, China

摘要

摘要: 车站限流是缓解城市轨道交通高峰客流拥挤的有效应对措施。然而，目前实际应用的限流措施缺乏对同线路相邻车站的协同配合的考虑，限流效果有待进一步提升。综合考虑乘客、列车、车站三者的交互关系，依据列车在车站的发车时间间隔，对高峰时段的列车时刻表进行时间离散化，将离散化的时段作为基本研究时段，提取对应的车站乘客到达量。从供需双方的角度出发，以乘客总延误时间最小化和旅客周转量最大化为优化目标，在考虑列车运输能力、客流控制强度、车站服务水平的同时，引入列车剩余运输能力作为约束条件，平衡不同车站的客流需求，构建车站协同限流优化模型。针对多目标函数求解的复杂性，设计1种嵌入式遗传算法对模型进行求解，平衡多目标函数之间最优解的冲突。以南京地铁三号线高峰时段为例，与不采取协同限流的情景（先到先服务）进行对比分析。结果表明：在乘客总周转量提升1%的情况下，乘客延误人数下降了2.3%，乘客总延误时间降低了4.3%，拥挤车站的延误人数显著降低，延误人数的时空分布更加平衡。为了验证算法的有效性和模型的稳定性，将遗传算法与Gurobi求解器进行算法对比，并对关键参数列车满载率进行灵敏度分析，提出的遗传算法更能兼顾双优化目标，有利于缓解高峰时段大客流延误。
- 城市轨道交通 /
- 高峰客流 /
- 协同限流 /
- 遗传算法 /
- 运输能力
Abstract: Passenger flow control at urban rail transit stations is an effective strategy for alleviating congestion during peak periods. However, existing measures often overlook cooperative relations among adjacent stations along the same line, indicating the need for further improvements to enhance its efficacy. In this paper, the interaction among passengers, trains, and stations is considered comprehensively. Train schedules are discretized during peak hours based on departure intervals at stations. These discrete time periods are utilized as the basis for our research and corresponding passenger arrival data are extracted accordingly. Taking into account both supply and demand considerations, optimization objectives focus on two primary aims of minimizing aggregate passenger delay time and maximizing passenger turnover volume. Considering the train transportation capacity, passenger flow control intensity, and station service level, the remaining train transportation capacity is introduced as a constraint to balance the passenger flow demand of different stations, and an optimization model station for coordinated station flow control is constructed. Given the complexity in solving multi-objective functions, an embedded genetic algorithm is proposed to address conflicts among optimal solutions. Using Line 3 of the Nanjing Metro as a case study, a comparative analysis is conducted with the scenario without coordinated flow control (first-come-first-served) during peak hours. The results show that a 1% increase in total passenger turnover results in a 2.3% decrease in the number of passenger delays, a 4.3% decrease in total passenger delay time, and significant alleviations of delays at congested sta-tions, leading to a more balanced spatial and temporal distribution of delays. To verify the algorithm's effectiveness and the model's stability, the genetic algorithm is compared with the Gurobi solver, and the sensitivity of a key parameter, the train load factor, is analyzed. The proposed genetic algorithm demonstrates better performance in addressing the dual optimization objective, thus aiding in the mitigation of significant passenger delays during peak hours.
- urban rail transit /
- peak passenger flow /
- coordinated passenger flow control /
- genetic algorithm /
- transportation capacity

HTML全文

图 1 高峰时段车站延误人数示意图

Figure 1. Diagram of the number of delayed passengers at stations during peak hours

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图 2 不同站台乘客到达时间

Figure 2. Arrival time of passengers on different platforms

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图 3 染色体编码

Figure 3. chromosome coding

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图 4 染色体交换形式

Figure 4. Chromosome exchange form

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图 5 算法流程图

Figure 5. Algorithm flow chart

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图 6 优化前后延误人数时空分布

Figure 6. Spatial and temporal distribution of delayed people before and after optimization

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图 7 协同与非协同方案上车人数时空对比

Figure 7. A spatial-temporal comparison of the number of passengers in collaborative and non-collaborative schemes

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图 8 列车运输能力平均利用率

Figure 8. Average utilization rate of train transport capacity

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表 1 高峰时段部分车站到达客流量

Table 1. Inbound passenger flow at some stations during peak hours 单位: 人/min

站点	时刻
站点	07：20：00	07：23：00	07：26：00	07：28：15	07：59：45	08：02：00	08：18：00	08：20：00
林场	36	55	61	63	46	66	47	34
星火路		31	35	72	50	32	11	16
东大成贤学院			148	105	75	76	57	45
泰冯路				206	200	195	209	182
天润城					361	308	200	182
柳洲东路					463	462	341	386
⋮					⋮	⋮	⋮	⋮
大行宫					544	542	531	536
⋮					⋮	⋮	⋮	⋮
南京南站							236	263
宏运大道							21	17
胜太西路							62	56

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表 2 模型相关参数

Table 2. Parameters related to the model

参数	数值	说明
列车最大满载率α	0.9	列车实际载客人数与定员的比值
列车定员C/人	1 860	采用6编组A型车
最大限流率δ/%	50	车站最大的限流率
客流放大系数θ	1.2	部分拥挤车站客流量放大

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表 3 非协同限流与协同限流优化方案对比

Table 3. Comparison of non-collaborative and collaborative optimization schemes

指标	非协同限流	协同限流	优化量	优化幅度/%
乘客延误人数	8 329	8 140	189	+2.3
乘客延误总时间/min	18 790	17 970	820	+4.3
乘客周转量/（人?km）	5.365 4×10⁵	5.404 8×10⁵	3 940	+1

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表 4 算法结果对比

Table 4. Comparison of algorithm results

算法	乘客延误总时间/min	乘客总周转量/（人?km）
Matlab+遗传算法	17 970	5.404 8×10⁵
Python+Gurobi	17 927	5.365 3×10⁵
未采取协同限流	18 790	5.365 4×10⁵

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表 5 满载率对总延误时间的灵敏度分析

Table 5. Sensitivity analysis of load rate to total delay time

满载率	乘客总延误时间/min
满载率	非协同限流	协同限流	优化幅度/%
1	4 359	16 962	-289.1
0.9	18 790	17 970	+4.3
0.8	90 481	60 010	+33.7
0.7	167 494	104 718	+37.5

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表 6 满载率对总周转量的灵敏度分析

Table 6. Sensitivity analysis of load rate to total turnover

满载率	乘客总周转量/（人?km）
满载率	非协同限流	协同限流	优化幅度/%
1	5.420 5×10⁵	5.369 7×10⁵	-1
0.9	5.365 4×10⁵	5.404 8×10⁵	+1
0.8	5.124 5×10⁵	5.222 1×10⁵	+2
0.7	4.781 2×10⁵	5.056 4×10⁵	+6

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