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

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

丁恒^1, ,,
郭放^1,,
蒋程镔^1,,
张雨^1,,
张卫华^1,

1.
合肥工业大学汽车与交通工程学院合肥 230009

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

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出版历程
- 收稿日期: 2016-04-08
- 录用日期: 2016-08-02
- 刊出日期: 2017-04-20

Coordinated Method of Perimeter Control for Multiple MFD Sub-regions

DING Heng^{1
, ,},
GUO Fang^1
,,
JIANG Cheng-Bin^1
,,
ZHANG Yu^1
,,
ZHANG Wei-Hua^1
,

1.
School of Automotive and Traffic Engineering, Hefei University of Technology, Hefei 230009

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

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.
- 交通拥堵 /
- 宏观基本图 /
- 子区划分 /
- 边界控制 /
- 协调控制 /
- 自适应遗传算法
Abstract: In order to improve the service level of urban road network, the macro traffic network is divided into multiple macroscopic fundamental diagram (MFD) sub-regions on the basis of different traffic densities, and then a coordinated perimeter control method is proposed. According to the relations of traffic flows among multiple MFD sub-regions, a balance equation of network traffic flow is established. Compared with the optimal cumulative traffic volume of the network, the optimal traffic inflow and outflow at the crowded intersections of sub-regions perimeter are determined. Moreover, a multi-objective programming model is set up, which takes the maximum average trip completion flow of vehicles, the minimum average travel time and the average delay of road network as the objectives. Adaptive genetic algorithm is used to solve the multi-objective function. An actual road network with 4 MFD sub-regions is tested, and the result shows that the proposed strategies are effective in improving the network efficiency and alleviating traffic congestion.
- Traffic congestion /
- macroscopic fundamental diagram (MFD) /
- division of sub-regions /
- perimeter control /
- coordination control /
- adaptive genetic algorithm
注释:

1) 本文责任编委王占山

HTML全文

图 1 宏观基本图

Fig. 1 Macroscopic fundamental diagram

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图 2 路网MFD子区划分

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

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图 3 划分子区后的仿真路网

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

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图 4 整个路网和4个子区MFD

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

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图 5 4个子区累积车辆数

Fig. 5 Accumulation in 4 sub-regions

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图 6 4个子区旅行车辆完成流率

Fig. 6 Trip completion flow in 4 sub-regions

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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

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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

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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

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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	a_i	b_i	c_i	d_i	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

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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)	ε_i(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

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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)
控制方法	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

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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)
控制方法	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

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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)
控制方法	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

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