Nagel-Schreckenberg模型的稀有事件性质
Rare-Event Properties of the Nagel-Schreckenberg Model
摘要：
本文通过计算机模拟研究了Nagel-Schreckenberg模型下交通流的分布$q$。我们应用了一种大偏差方法，这使我们能够获得超过一百年的概率分布$P(q)$，直到像$10^{-140}$这样的概率。这使我们能够在大范围的支持下表征流量分布，并识别罕见甚至非常罕见的流量情况的特征。我们观察到的分布形状的变化时，增加密度的汽车从自由流到拥挤阶段。此外，我们通过测量$q$与其他数量（如站立车辆的密度或交通堵塞的数量和大小）的相关性来表征典型和罕见的交通情况。
英文摘要：
We have studied the distribution of traffic flow $q$ for the Nagel-Schreckenberg model by computer simulations. We applied a large-deviation approach, which allowed us to obtain the distribution $P(q)$ over more than one hundred decades in probability, down to probabilities like $10^{-140}$. This allowed us to characterize the flow distribution over a large range of the support and identify the characteristics of rare and even very rare traffic situations. We observe a change of the distribution shape when increasing the density of cars from the free flow to the congestion phase. Furthermore, we characterize typical and rare traffic situations by measuring correlations of $q$ to other quantities like density of standing cars or number and size of traffic jams.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
