Disordered traffic stream at the microscopic level can be described as a permeable medium. Each vehicle is considered to traverse through a series of lateral gaps created by other vehicles. We develop a multi-class traffic flow model that considers such viable and accessible gaps for individual vehicle classes to traverse downstream. The model accounts for the varying shares of different vehicle classes. The concept of traversable distance and modified equilibrium speed functions are used to model the interplay among multiple vehicle classes. Using a higher order finite volume approximation method, evolution for a two-class traffic stream is shown. This model replicates prominent empirical characteristics exhibited by multi-class disordered traffic such as overtaking and creeping. Varying shares of smaller vehicles affect queue formation and discharge characteristics, and have significant impacts on roadway capacity. The model also could compute dynamic class-specific travel times at different vehicular compositions more realistically.

中文翻译：

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使用可行驶距离的概念对受不同车辆组成影响的多类无序交通流进行建模

微观层面的无序交通流可以说是一种可渗透的介质。每辆车都被认为要穿过由其他车辆产生的一系列横向间隙。我们开发了一个多级交通流模型，该模型考虑了单个车辆类别的这种可行且可访问的间隙以穿越下游。该模型考虑了不同车辆类别的不同份额。可行驶距离的概念和修正的平衡速度函数用于模拟多个车辆类别之间的相互作用。使用高阶有限体积近似方法，显示了两类交通流的演变。该模型复制了超车和爬行等多类无序交通所表现出的突出经验特征。小型车辆的不同份额会影响队列形成和排放特性，并对道路通行能力产生重大影响。该模型还可以更真实地计算不同车辆组成的动态特定类别旅行时间。