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多个MFD子区边界协调控制方法

丁恒 郭放 蒋程镔 张雨 张卫华

丁恒, 郭放, 蒋程镔, 张雨, 张卫华. 多个MFD子区边界协调控制方法. 自动化学报, 2017, 43(4): 548-559. doi: 10.16383/j.aas.2017.c160322
引用本文: 丁恒, 郭放, 蒋程镔, 张雨, 张卫华. 多个MFD子区边界协调控制方法. 自动化学报, 2017, 43(4): 548-559. doi: 10.16383/j.aas.2017.c160322
DING Heng, GUO Fang, JIANG Cheng-Bin, ZHANG Yu, ZHANG Wei-Hua. Coordinated Method of Perimeter Control for Multiple MFD Sub-regions. ACTA AUTOMATICA SINICA, 2017, 43(4): 548-559. doi: 10.16383/j.aas.2017.c160322
Citation: DING Heng, GUO Fang, JIANG Cheng-Bin, ZHANG Yu, ZHANG Wei-Hua. Coordinated Method of Perimeter Control for Multiple MFD Sub-regions. ACTA AUTOMATICA SINICA, 2017, 43(4): 548-559. doi: 10.16383/j.aas.2017.c160322

多个MFD子区边界协调控制方法

doi: 10.16383/j.aas.2017.c160322
基金项目: 

国家自然科学基金 51178158

国家自然科学基金 51578207

安徽省自然科学基金 1408085QF111

国家自然科学基金 61304195

详细信息
    作者简介:

    郭放 合肥工业大学汽车与交通工程学院硕士研究生.主要研究方向为交通控制与管理, 交通运输系统优化与仿真.E-mail:fangguo1990@163.com

    蒋程镔 合肥工业大学汽车与交通工程学院硕士研究生.主要研究方向为区域交通控制与管理.E-mail:arteey@163.com

    张雨 合肥工业大学汽车与交通工程学院硕士研究生.主要研究方向为交通控制与仿真.E-mail:zhangyu1210@mail.hifut.edu.cn

    张卫华 合肥工业大学汽车与交通工程学院教授.主要研究方向为智能交通系统, 交通规划和交通安全.E-mail:ahweihua@163.com

    通讯作者:

    丁恒 合肥工业大学汽车与交通工程学院副教授.主要研究方向为交通控制与管理, 智能优化与应用和智能交通系统.E-mail:dingheng@hfut.edu.cn

Coordinated Method of Perimeter Control for Multiple MFD Sub-regions

Funds: 

National Natural Science Foundation of China 51178158

National Natural Science Foundation of China 51578207

Natural Science Foundation of Anhui Province 1408085QF111

National Natural Science Foundation of China 61304195

More Information
    Author Bio:

    Master student at the School of Automotive and Traffic Engineering, Hefei University of Technology. His research interest covers traffic control and management, transportation system optimization and traffic simulation

    Master student at the School of Automotive and Traffic Engineering, Hefei University of Technology. His research interest covers regional management and traffic control

    Master student at the School of Automotive and Traffic Engineering, Hefei University of Technology. Her research interest covers traffic control and simulation

    Professor at the School of Automotive and Traffic Engineering, Hefei University of Technology. His research interest covers intelligent transportation system, transportation planning and traffic safety

    Corresponding author: DING Heng Associate professor at the School of Automotive and Traffic Engineering, Hefei University of Technology. His research interest covers traffic control and management, intelligent optimization and application, and intelligent transportation systems. Corresponding author of this paper
  • 摘要: 为了改善交通网络运行状况,根据车流密度的差异对宏观路网进行子区划分,提出了面向多个宏观基本图(Macroscopic fundamental diagram,MFD)子区的边界协调控制方法.根据划分的多个子区间邻接关系和流入流出交通流率,建立了路网车流平衡方程.通过与最佳累积车辆数进行比较,确定了拥挤度高的子区边界交叉口最佳流入与流出的交通流量;进而建立了以整个路网旅行完成流率最大、平均行程时间和平均延误最小的多目标边界协调优化模型,并通过自适应遗传算法对多目标函数进行求解.以存在4个MFD子区的实际路网为分析对象,对比仿真结果表明所提方法可有效提高路网运行效率、缓解拥堵状况.
    1)  本文责任编委 王占山
  • 图  1  宏观基本图

    Fig.  1  Macroscopic fundamental diagram

    图  2  路网MFD子区划分

    Fig.  2  Division of MFD sub-regions in road network

    图  3  划分子区后的仿真路网

    Fig.  3  Simulation of road network after sub-regions division

    图  4  整个路网和4个子区MFD

    Fig.  4  MFD for the whole network and 4 sub-regions

    图  5  4个子区累积车辆数

    Fig.  5  Accumulation in 4 sub-regions

    图  6  4个子区旅行车辆完成流率

    Fig.  6  Trip completion flow in 4 sub-regions

    图  7  子区之间平均行程时间之和

    Fig.  7  Sum of the average travel time between sub-regions

    图  8  子区1和整个路网平均延误时间之和

    Fig.  8  Sum of the average delay time in Sub-region 1 and the whole network

    表  1  子区路网基本参数

    Table  1  Discrete modes of the normal traffic behavior

    子区编号 路网面积 (km2) 主要路段数 路段主要长度 (m) 交叉口数量 路网交叉口周期时长 (s) 边界控制交叉口数量 边界交叉口周期时长 (s) 对外交通的路段数
    整个路网 23.0 36 200 ~ 1 500 157 60 ~ 180 58 120 53
    子区1 7.0 20 200 ~ 1 500 51 60 ~ 180 17 120 40
    子区2 5.5 12 200 ~ 1 500 37 60 ~ 180 12 120 25
    子区3 5.5 12 200 ~ 1 500 36 60 ~ 180 18 120 24
    子区4 5.0 12 200 ~ 1 500 33 60 ~ 180 11 120 22
    下载: 导出CSV

    表  2  路网子区仿真参数标定

    Table  2  Simulation parameters calibration of sub-regions in road network

    子区编号 ai bi ci di R2
    整个路网 4.5521 × 10−12 −2.7189 × 10−6 4.2024 × 10−3 −2.6534 0.6542
    子区1 3.4734 × 10−11 −7.4891 × 10−7 4.3854 × 10−3 −0.0421 0.9456
    子区2 3.6318 × 10−11 −7.0694 × 10−7 3.6828 × 10−3 0.6893 0.9000
    子区3 1.7598 × 10−10 −2.4750 × 10−6 9.4675 × 10−3 −1.8034 0.9633
    子区4 5.8298 × 10−11 −1.1125 × 10−7 5.7969 × 10−3 −0.2909 0.9646
    下载: 导出CSV

    表  3  子区基本仿真参数与边界控制参数

    Table  3  Basic simulation parameters and perimeter control parameters of sub-regions

    子区编号 仿真时间 (min) 仿真次数 路网初始累积车辆数 (veh) 路网最佳累积车辆数 (veh) εi(veh) 路网最大累积车辆数 (veh) 路网平均增加交通流量 (veh/min) 平均自由流速度 (km/h)
    整个路网 300 150 4 000 12 000 240 38 000 100 ~ 250 50
    子区1 300 150 1 000 4 090 82 10 000 50 ~ 100 50
    子区2 300 150 1 000 3 660 73 9 000 10 ~ 80 50
    子区3 300 150 1 000 2 700 54 7 000 20 ~ 70 50
    子区4 300 150 1 000 3 660 73 10 000 20 ~ 807 50
    下载: 导出CSV

    表  4  子区平均累积车辆数统计表

    Table  4  Statistics of the average accumulation in sub-regions

    控制方法 子区平均累积车辆数 (veh)
    子区1 子区2 子区3 子区4 整个路网
    NPC 4 353 2 616 2 061 2 937 11 966
    PC 3 345 2 379 2 280 3 126 11 220
    CPC 3 597 2 656 2 113 2 986 11 352
    下载: 导出CSV

    表  5  路网平均旅行车辆完成流率和旅行车辆完成车辆数统计

    Table  5  Statistics of the average trip completion flow and the average completion volume in road network

    控制方法 路网平均旅行车辆完成流率 (veh/s) 路网平均旅行车辆完成车辆数 (veh)
    子区1 子区2 子区3 子区4 整个路网 子区1 子区2 子区3 子区4 整个路网
    NPC 6.9001 4.1933 7.8741 7.3487 6.2507 13 837 9 696 12 876 16 310 52 719
    PC 7.0079 3.5725 8.4664 7.5583 6.6512 15 003 9 024 13 384 16 493 53 904
    CPC 7.4269 4.2599 8.1628 8.0085 6.9646 15 901 10 760 13 348 17 774 57 783
    下载: 导出CSV

    表  6  子区平均行程时间之和与路网平均延误之和统计

    Table  6  Statistics of sum of the total travel time in sub-regions and the average delay time of the road network

    控制方法 部分子区之间的行程时间之和 (h) 路网平均延误之和 (h)
    t12 t13 t14 t24 整个路网 子区1 子区2 子区3 子区4 整个路网
    NPC 44.80 33.60 56.00 43.24 44.41 54.82 24.63 24.24 22.60 31.57
    PC 38.33 28.75 47.92 45.90 40.23 42.75 24.79 26.95 25.88 29.84
    CPC 38.32 28.74 47.90 42.30 39.32 42.82 25.00 24.78 22.56 28.79
    下载: 导出CSV
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  • 收稿日期:  2016-04-08
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