基于宏观基本图的相邻子区协调控制方法

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.

Coordinated Perimeter Flow Control for Two Subareas with Macroscopic Fundamental Diagrams

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.