Gao Kun, Jiang Rui, Hu Shou-Xin, Wang Bing-Hong, Wu Qing-Song
Nonlinear Science Center and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui, 230026, People's Republic of China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Aug;76(2 Pt 2):026105. doi: 10.1103/PhysRevE.76.026105. Epub 2007 Aug 13.
In this paper, we propose a cellular automata (CA) model for traffic flow in the framework of Kerner's three-phase traffic theory. We mainly consider the velocity-difference effect on the randomization of vehicles. The presented model is equivalent to a combination of two CA models, i.e., the Kerner-Klenov-Wolf (KKW) CA model and the Nagel-Schreckenberg (NS) CA model with slow-to-start effect. With a given probability, vehicle dynamical rules are changed over time randomly between the rules of the NS model and the rules of the KKW model. Due to the rules of the KKW model, the speed adaptation effect of three-phase traffic theory is automatically taken into account and our model can show synchronized flow. Due to the rules of the NS model, our model can show wide moving jams. The effect of "switching" from the rules of the KKW model to the rules of the NS model provides equivalent effects to the "acceleration noise" in the KKW model. Numerical simulations are performed for both periodic and open boundaries conditions. The results are consistent with the well-known results of the three-phase traffic theory published before.
在本文中，我们在克erner三相交通理论框架下提出了一种用于交通流的元胞自动机（CA）模型。我们主要考虑速度差对车辆随机化的影响。所提出的模型等同于两个CA模型的组合，即具有慢启动效应的克erner - 克莱诺夫 - 沃尔夫（KKW）CA模型和纳格尔 - 施雷肯贝格（NS）CA模型。车辆动力学规则以给定概率随时间在NS模型规则和KKW模型规则之间随机变化。由于KKW模型的规则，自动考虑了三相交通理论的速度适应效应，并且我们的模型可以显示同步流。由于NS模型的规则，我们的模型可以显示宽移动堵塞。从KKW模型规则“切换”到NS模型规则的效应与KKW模型中的“加速噪声”提供等效效应。针对周期性和开放边界条件进行了数值模拟。结果与之前发表的三相交通理论的著名结果一致。
