To explore the traffic flow characteristics in fog, a modified one-dimensional cellular automata model is developed considering the limited visual distance of drivers in low visibility. We suppose that drivers can be categorized into seven groups according to the radical degree, and the number of drivers follows the Gaussian distribution in general road system. Capacity shrinkage is confirmed, and there is a positive correlation between the speed limits and extent of capacity shrinkage. When on-ramp bottleneck is considered in open boundary condition, bottleneck capacity fluctuates greatly when enter probability of on-ramp is lower than the threshold, and the dependency between main lane capacity and distance away from on-ramp is weak in most cases. Besides, capacity phase diagrams of various test scenario show that the bottleneck capacity will not improve after the entry probability of the main lane reaches a certain value. This study can be an inspiration for traffic flow modeling in fog and other infrequent weather.

中文翻译：

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基于元胞自动机模型的雾中交通流建模

为了探索雾中的交通流特征，考虑到驾驶员在低能见度下的有限视觉距离，开发了一种改进的一维元胞自动机模型。我们假设司机可以根据激进程度分为七类，司机的数量在一般道路系统中服从高斯分布。运力缩水得到证实，限速与运力缩水程度呈正相关。在开放边界条件下考虑入口匝道瓶颈时，当入口匝道的进入概率低于阈值时，瓶颈容量波动较大，大多数情况下主车道容量与离入口匝道距离的相关性较弱。除了，各种测试场景的容量相图表明，在主车道的进入概率达到一定值后，瓶颈容量不会改善。这项研究可以为雾和其他罕见天气下的交通流建模提供灵感。