Wang L, Wang B H, Hu B
Physics Department and Centre for Nonlinear Studies, Hong Kong Baptist University, Hong Kong, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 May;63(5 Pt 2):056117. doi: 10.1103/PhysRevE.63.056117. Epub 2001 Apr 20.
We propose and study a one-dimensional traffic flow cellular automaton model of high-speed vehicles with the Fukui-Ishibashi-type acceleration for all cars, and the Nagel-Schreckenberg-type (NS) stochastic delay only for cars following the trail of the car ahead. The main difference in the delay scenario between our model and the NS model is that a car with spacing ahead longer than the velocity limit M may not be delayed in our model. By using a car-oriented mean-field theory, we analytically derive fundamental diagrams of the average speed as a function of the car density. Our theoretical results are in excellent agreement with numerical simulations.
我们提出并研究了一种一维高速车辆交通流元胞自动机模型，所有车辆都采用福井 - 石桥型加速度，只有跟随前车轨迹的车辆采用纳格尔 - 施雷肯贝格型（NS）随机延迟。我们的模型与NS模型在延迟情况上的主要区别在于，在我们的模型中，前方间距大于速度上限M的车辆可能不会延迟。通过使用面向车辆的平均场理论，我们解析地推导出了平均速度作为车辆密度函数的基本图。我们的理论结果与数值模拟结果非常吻合。
