In this paper, one type of heterogeneous traffic network, which consists of signalized intersections and non-signalized ones, is analyzed and modelled with a macroscopic model and logic constraints, which involves the evolution of the number of vehicles on each link and the leaving flow dynamics at each intersection. We propose a novel model describing the dynamic behaviors of such a system and the proposed model is validated via road tests in Singapore traffic network and simulations in VISSIM. A piecewise linear model is adopted to describe the traffic flow dynamics at each signalized intersection, while a platooning-like first-in-first-out (FIFO) model is proposed to depict the dynamics at each non-signalized intersection. A traffic light control problem for a heterogeneous traffic network is formulated based on the proposed macroscopic model as a mixed integer programming problem. Simulations indicate that the proposed optimal traffic control scheme could outperform the fixed-time traffic light control strategy and conventional actuated traffic light control scheme. Besides, we demonstrate potentials in developing a systematic planning approach on deciding which traffic intersections require signal control to ensure good traffic control performance.

本文采用信号交叉口和非信号交叉口组成的一种异构交通网络，通过宏观模型和逻辑约束进行分析和建模，涉及到每条链路上车辆数量的演变和离开流量。每个路口的动态。我们提出了描述这种系统动态行为的新颖模型，并通过新加坡交通网络中的道路测试和VISSIM中的仿真对提出的模型进行了验证。采用分段线性模型描述每个信号交叉口的交通动态，提出了一种像排样的先进先出（FIFO）模型来描述每个非信号交叉口的动态。基于所提出的宏观模型，将异构交通网络的交通灯控制问题表述为混合整数规划问题。仿真结果表明，所提出的最优交通控制方案优于传统的定时交通信号灯控制策略和传统的主动交通信号灯控制方案。此外，我们展示了开发系统的规划方法的潜力，以确定哪些交通路口需要信号控制以确保良好的交通控制性能。