Coordinated Perimeter Flow Control for Two Subareas with Macroscopic Fundamental Diagrams

Abstract

Abstract:

In order to improve the performance of the entire road network, and prevent the congestion transfer caused by the optimal control for a single traffic control subarea, a coordinated perimeter flow control model is proposed. The proposed model aims at two adjacent traffic control subareas. The macroscopic fundamental diagram for each of the subareas and the relationship of the inflows and outflows are considered. After describing the interaction between the two subareas by the game theory, a game-based control logic is formulated and solved to maximum the performance of the two subareas as a whole. The feasibility and benefits of the proposed control are tested by VS2010 simulation. The results show that different control strategies lead to different benefits of the two subareas. However, a stable and efficient operation situation could be obtained by multiple gaming. Moreover, the subarea with lower network capacity may deserve more protection. The inflow should be controlled when its number of internal vehicles reaches the optimal value.

Key words: traffic engineering, perimeter flow control, macroscopic fundamental diagram, control subareas, game theory

摘要：

为了提升道路网整体运行效益，克服针对单个控制子区的最优化控制可能造成的拥堵转移，本研究基于宏观基本图的概念，建立控制子区间驶入驶出交通量的协调控制模型.该模型以两个相邻控制子区为对象，考虑各子区自身宏观基本图特征及交通量流入流出关系.在运用博弈论对其相互作用进行描述的基础上，提出了一种以两个子区整体运行效益最大化为目标的博弈控制逻辑及其求解流程.通过VS2010 对所建立的博弈进行仿真，验证了模型的可行性及控制效果.研究表明，不同的控制策略对相邻小区的运行水平（收益）会造成不同的影响，但经多次博弈后，两相邻控制子区整体运行状况可稳定在一个最佳水平.博弈结果显示路网容量相对较小的控制子区更应受到保护，当内部车辆数达到最佳车辆数时应对其进行流入限制.

关键词: 交通工程, 边界流量控制, 宏观基本图, 控制子区, 博弈论

CLC Number:

U491.4

ZHAO Jing1，MAWan-jing2，WANG Tao2，LIAO Da-bin2. Coordinated Perimeter Flow Control for Two Subareas with Macroscopic Fundamental Diagrams[J]. Journal of Transportation Systems Engineering and Information Technology, 2016, 16(1): 78-84.

赵靖，马万经，汪涛，廖大彬. 基于宏观基本图的相邻子区协调控制方法[J]. 交通运输系统工程与信息, 2016, 16(1): 78-84.

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URL: http://www.tseit.org.cn/EN/abstract/abstract19143.shtml

http://www.tseit.org.cn/EN/Y2016/V16/I1/78

References

[1] Daganzo C F. Urban gridlock: macroscopic modeling and mitigation approaches[J]. Transportation Research Part B: Methodological, 2007, 41(1): 49-62.

[2] Feng G. Macroscopic fundamental diagrams for Stockholm using FCD data[D]. England: Royal Institute of Technology, 2011.
[3] He Z, He S, Guan W. A figure-eight hysteresis pattern in macroscopic fundamental diagrams and its microscopic causes[J]. Transportation Letters, 2015,7(3): 133-142.
[4] 姬杨蓓蓓, Daame W. 阿姆斯特丹城市道路线圈检测器布设方法研究[J]. 重庆交通大学学报(自然科学版), 2010, 29(5): 754-757. [JIYANG B B, Daame W. Loop detector location research on urban road in Amsterdam[J]. Journal of Chongqing Jiaotong University(Natural Science), 2010, 29(5): 754-757.]
[5] Leclercq L, Geroliminis N. Estimating MFDs in simple networks with route choice[J]. Transportation Research
B: Methodological, 2013(57): 468-484.
[6] Xie X, Chiabaut N, Leclercq L. Macroscopic fundamental diagram for urban streets and mixed traffic: cross-comparison of estimation methods[J]. Transportation Research Record: Journal of the Transportation Research Board, 2013(2390): 1-10.
[7] Daganzo C F, Geroliminis N. An analytical approximation for the macroscopic fundamental diagram of urban traffic[J]. Transportation Research
Part B: Methodological, 2008, 42(9): 771-781.
[8] 许菲菲，何兆成，沙志仁. 交通管理措施对路网宏观基本图的影响分析[J]. 交通运输系统工程与信息, 2013,13(2): 185-190. [XU F F, HE Z C, SHA Z R. Impacts of traffic management measures on urban network microscopic fundamental diagram[J]. Journal of Transportation Systems Engineering and Information Technology, 2013, 13(2): 185-190.]
[9] 马莹莹，杨晓光，曾滢. 基于谱方法的城市交通信号控制网络小区划分方法[J]. 系统工程理论与实践, 2010,30(12): 2290-2296. [MA Y Y, YANG X G, ZENG Y.Urban traffic signal control network partitioning using spectral method[J]. System Engineering-Theory &Practice, 2010, 30(12): 2290-2296.]
[10] 李刚奇，赵娅丽. 基于宏观交通理论的交通控制子区划分方法[C]. 第七届中国智能交通年会优秀论文集,2012. [LI G Q, ZHAO Y L. Urban traffic signal control network partitioning based on macro-traffic flow theory[C]. 2012 China Intelligent Transportation Annual Symposium, 2012.]
[11] Haddad J, Geroliminis N. On the stability of traffic perimeter control in two-region urban cities[J].
Transportation Research Part B: Methodological, 2012, 46(9): 1159-1176.
[12] Ji Y, Geroliminis N. On the spatial partitioning of urban transportation networks[J]. Transportation Research Part B: Methodological, 2012, 46(10): 1639-1656.
[13] 王福建，韦薇，王殿海，等. 基于宏观基本图的城市路网交通状态判别与监控[C]. 第七届中国智能交通年会, 2012. [WANG F J, WEI W, WANG D H,et al. Urban road network traffic state identification and monitoring based on macroscopic fundamental diagram[C]. 2012 China Intelligent Transportation Annual Symposium, 2012.]
[14] Keyvan-Ekbatani M, Kouvelas A, Papamichail I, et al. Exploiting the fundamental diagram of urban networks for feedback-based gating[J]. Transportation Research Part B Methodological, 2012, 46(10):1393-1403.
[15] Toshio Y, Yuji Y, Kitamura R. Evaluation of an area metering control method using the macroscopic fundamental diagram[C]. The 12th World Conference on Transportation Research, Lisbon, Portugal, 2010.
[16] KydLand F. Noncooperative and dominant player solutions in discrete dynamic games[J]. International Economic Review, 1975, 16(2): 321-335.