Optimal cordon-metering rates are obtained using Macroscopic Fundamental Diagrams in combination with flow conservation laws. A model-predictive control algorithm is also used so that time-varying metering rates are generated based on their forecasted impacts. Our scalable algorithm can do this for an arbitrary number of cordoned neighborhoods within a city. Unlike its predecessors, the proposed model accounts for the time-varying constraining effects that cordon queues impose on a neighborhood’s circulating traffic, as those queues expand and recede over time. The model does so at every time step by approximating a neighborhood’s street space occupied by cordon queues, and re-scaling the MFD to describe the state of circulating traffic that results. The model also differentiates between saturated and under-saturated cordon-metering operations. Computer simulations of an idealized network show that these enhancements can substantially improve the predictions of both, the trip completion rates in a neighborhood and the rates that vehicles cross metered cordons. Optimal metering policies generated as a result are similarly shown to do a better job in reducing the Vehicle Hours Traveled on the network. The VHT reductions stemming from the proposed model and from its predecessors differed by as much as 14%.

使用宏观基本图结合流量守恒定律可获得最佳警戒线计量速率。还使用模型预测控制算法，以便根据预测的影响生成随时间变化的计量速率。我们的可伸缩算法可以对城市中任意数量的封锁社区执行此操作。与以前的模型不同，该模型考虑了警戒线排队对邻里循环交通造成的随时间变化的约束效应，因为随着时间的推移，警戒线排队不断扩大和减少。该模型在每个时间步上都这样做，方法是近似估计警戒线队列所占据的街道空间，然后重新调整MFD的比例，以描述由此产生的交通流量的状态。该模型还区分了饱和和不足饱和警戒线计量操作。理想化网络的计算机仿真显示，这些增强功能可以显着改善附近的出行完成率和车辆通过计量警戒线的速率两者的预测。结果表明，生成的最佳计量策略在减少网络上行驶的车辆时数方面做得更好。提议的模型及其先前版本导致的VHT降低幅度相差多达14％。