一种新的宏观交通流模型

为了更好地进行城市交通规划与控制，亟待发展一种有效描述交通流动的数学模型.基于交通流研究中通常采用的微观-宏观参量间的联系方法，得到了一种新的动力学模型.它以线性加权的方式考虑了车辆相对速度的影响，使得新模型更加符合实际的交通情况.新模型考虑了车辆间相对距离对后车加速度的影响，一些经典的连续交通流模型可以视为新模型的特例，如Payne模型、Wiltham模型和Zhang模型.此外，研究了新模型的特征速度和线性稳定性，发现新模型恒稳定，且模型是否具有各向异性由各向异性因子决定.

An Improved Traffic Flow Model

To better carry out the planning and control of urban transport， a more effective mathematical model describing traffic flow was given. The new model is based on both the driver’s car following behavior and general linkage between microscopic and macroscopic parameters. Since the model includes the effects of both the relative speeds and the relative distance with linear weighted method， it is more realistic. Meanwhile， some well know continuum models are contained in this new model as special cases， such as Payne model， Wiltham model， and Zhang model. The characteristic velocity and linear stability of the new model were studied. The new model is inherently stable and controls the extent of non anisotropic and diffusive influences through a dimensionless parameter called anisotropic factor.