多个MFD子区边界协调控制方法

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.

Coordinated Method of Perimeter Control for Multiple MFD Sub-regions

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.