真实交通流动的元胞自动机直接模拟
The Direct Simulations of Cellular Automata for the Real Traffic Flow

作者: 谢益芹 , 吴晓阳 , 崔星 , 郝乐 :吉林大学数学学院,长春;

关键词: 元胞自动机交通流数值模拟Cellular Automata Model Traffic Flow Numerical Simulation

摘要:

应用元胞自动机模型对城市道路交通流进行模拟,其中主要对一维、二维、及方形区域道路工况进行实现。制定交通规则分析不同初始条件和边界条件对所研究道路内车流的影响规律。结果表明:虽然在不同工况下,交通流的运动状态不同,但边界条件对车流密度的影响比初始条件影响大,时间越长,相差越明显,且当足够时间后,车流密度在边界条件附近波动;在同向双车道情况下,出现局部车流密度显著增大,在边界条件较大时会出现交通波现象,继续增大则出现长时间堵塞现象,得出了与实际情况相吻合的结论。

Abstract: The article simulates the urban traffic flow with the application of Cellular Automata model, mainly targeting at simulations of one-dimensional lane, two-dimensional lane and square. We establish traffic rules and analyze the fluctuation of traffic flow under different initial conditions and boundary conditions. The result shows that the boundary conditions make greater difference to the traffic density than the initial conditions. The traffic density will fluctuate around the boundary when the duration is enough. In the case of the two-dimensional lane, the part of traffic density will balloon; the traffic wave will appear when the boundary condition is relatively great, and traffic jam engenders if the conditions keep accelerating. All the results accord with the reality.

文章引用: 谢益芹 , 吴晓阳 , 崔星 , 郝乐 (2014) 真实交通流动的元胞自动机直接模拟。 流体动力学, 2, 24-33. doi: 10.12677/IJFD.2014.22003

参考文献

[1] 金玉良, 闫广武 (2005) 三维Fredkin规则元胞自动机. 吉林大学学报(理学版), 1, 47-48.

[2] 闫广武 (2002) 元胞自动机中的组织生长. 吉林大学学报(理学版), 3, 247-249.

[3] Von Neumann, J. (1966) Theory of self-reproducing automata. In: Burks, A., Ed., Illinois University Press, Cham- paign, 1-6.

[4] 闫广武 (2003) 元胞自动机与人工生命研究进展. 吉林大学学报(理学版), 1, 40-44.

[5] Wolfram, S. (1983) Statistical mechanics of cellular automata. Reviews of Modern Physics, 55, 601-644.

[6] Nagel, K. and Sehrekcenberg, M. (1992) A cellular automaton model for freeway traffic. Journal de Physique I (France), 2, 2221-2229.

[7] Biham, O., Middleton, A.A. and Lenive, D. (1992) Self-organization and a dynamical transition in traffic-flow models. Physical Review A, 46, R6124-R6127.

分享
Top