In this paper, a new traffic model is presented which characterizes spatial changes in traffic density to smoothly align the traffic flow with forward conditions. This alignment is a function of the difference in velocities so there is no change in flow when the velocities are the same. The commonly employed Payne-Witham (PW) model aligns traffic with a constant speed (velocity) regardless of the transitions on a road. Thus, the distance covered during alignment and driver behavior are ignored. As a consequence, the resulting speeds can exceed the maximum or go below zero. With the proposed model, the speed during alignment is a function of the traffic density. In particular, traffic adapts quicker for a smaller forward density and vice versa. Results are presented for discontinuous traffic densities caused by a bottleneck along both straight and circular roads which show that this model provides more realistic behavior than the PW and Zhang models.

在本文中，提出了一种新的交通模型，该模型可表征交通密度的空间变化，以使交通流量与前进条件平稳地对齐。该对准是速度差异的函数，因此，当速度相同时，流量不会发生变化。常用的Payne-Witham（PW）模型使交通以恒定速度（速度）对齐，而不管道路上的过渡路况如何。因此，在对准过程中覆盖的距离和驱动器行为将被忽略。结果，结果速度可能超过最大值或低于零。使用所提出的模型，对准期间的速度是交通密度的函数。尤其是，流量可以更快地适应较小的前向密度，反之亦然。