The rapid adoption of sensor technology has upgraded the vehicular communication capacity, which enables the drivers to predict the traffic state (e.g. headway variation tendency (HVT)) based on the current traffic information. Meanwhile, in practice, the drivers would exhibit bounded rationality behavior in that they often perceive and respond to acceleration/deceleration only when the headway variation exceeds a certain threshold. The collective effect may greatly affect the driving behavior and traffic flow performance. In this study, we innovatively model the traffic flow macroscopically considering HVT and bounded rationality effect in the context of continuum model. Based on the linear stability theory, the stability condition of the above model is obtained. The KdV-Burgers equation of the model is derived to describe traffic jam propagation mechanism near the neutral stability line by applying the reductive perturbation method in nonlinear stability analysis. Results show that the HVT and bounded rationality behavior have a great impact on the traffic congestion and energy consumption.

中文翻译：

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具有车距变化趋势和有限理性的宏观交通流模型

传感器技术的迅速普及提高了车辆的通信能力，使驾驶员能够根据当前的交通信息预测交通状态（例如车头时距变化趋势（HVT））。同时，在实践中，驾驶员会表现出有限理性行为，即只有当车距变化超过一定阈值时，他们才会经常感知和响应加速/减速。集体效应可能会极大地影响驾驶行为和交通流性能。在这项研究中，我们在连续统模型的背景下创新地对交通流进行了宏观建模，同时考虑了 HVT 和有限理性效应。基于线性稳定性理论，得到上述模型的稳定性条件。应用归约摄动法进行非线性稳定性分析，推导出模型的KdV-Burgers方程描述中性稳定线附近的交通拥堵传播机制。结果表明，HVT和有限理性行为对交通拥堵和能源消耗有很大影响。