One-Dimensional Traffic Flow Problems: A Microscopic Approach
One-Dimensional Traffic Flow Problems: A Microscopic Approach
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一维交通流问题：微观方法
DOI：
10.1143/jpsj.66.1238
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
P. Hui
中科院分区：
文献类型：
--
作者：
B. H. Wang;P. Hui
提出了一种一维（1D）细胞自动机流量模型的微观方法。从描述布尔变量的时间演变的方程式开始，该方程描述了位点是由汽车或空位置占据的，在每个站点上定义并使用脱钩近似，与平均速度V（t + 1）和V相关的方程式（t）获得。该关系可以视为平均速度V（t + 1）和V（t）之间的动态映射。长时间限制的平均速度可以通过研究映射的吸引子及其稳定性来获得。该方法还应用于随机延迟的模型。获得了与模拟数据和先前提出的使用宏观考虑的均值野外理论一致的结果。因此，我们的方法代表了一种微观方法的方法，该方法具有逐步引入可控近似值的优势。
A microscopic approach to one-dimensional (1D) cellular automaton traffic flow models is presented. Starting from an equation describing the time evolution of the Boolean variable, which describes whether a site is occupied by a car or empty, defined on each site and using a decoupling approximation, an equation relating the average speeds v(t + 1) and v(t) is obtained. This relation can be treated as a dynamical mapping between the average speeds v(t + 1) and v(t). The average speed in the long time limit can be obtained by studying the attractors of the mapping and their stabilities. The approach is also applied to models with random delays. Results that are in agreement with simulation data and previously proposed mean field theories using macroscopic considerations are obtained. Our approach thus represents a microscopic method of deriving mean field theories with the advantage that controllable approximations can be introduced step by step.