Cellular automaton model within the fundamental-diagram approach reproducing some findings of the three-phase theory
Cellular automaton model within the fundamental-diagram approach reproducing some findings of the three-phase theory
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基本图方法中的元胞自动机模型再现了三相理论的一些发现
DOI：
10.1016/j.physa.2011.12.067
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发表时间：
2012-06
影响因子：
3.3
通讯作者：
Zhang, Wen-yi
中科院分区：
文献类型：
--
作者：
Tian, Jun-fang;Yuan, Zhen-zhou;Treiber, Martin;Jia, Bin;Zhang, Wen-yi
我们在基本图中提出了一个简单的交通流元胞自动机，它可以重现三相理论的各个方面。这种所谓的平均空间间隙模型 (ASGM) 基于 Nagel-Schreckenberg 模型，并附加了慢启动和预期规则。预测规则考虑了多个领先车辆的平均空间间隙，并将其三相特性传递给模型。由于预期规则，ASGM 可以显示从自由流到同步流的过渡。由于慢启动规则，ASGM可以显示同步流中出现的自发宽移动堵塞。针对周期性和开放边界条件进行模拟。研究了周期性边界条件下同步流的基本图和性质。在开放边界条件下，分析了入口匝道引起的不同拥堵模式。我们发现 ASGM 产生与许多更复杂的三相模型相同的时空动力学。由于其简单性以及与传统慢启动模型的密切关系，该模型可以阐明“两相”模型和三相模型之间的关系。
We propose a simple cellular automaton for traffic flow within the fundamental diagram, which could reproduce aspects of the three-phase theory. This so-called average space gap model (ASGM) is based on the Nagel–Schreckenberg model with additional slow-to-start and anticipation rules. The anticipation rule takes into account the average space gap of multiple leading vehicles and conveys to the model its three-phase property. Due to the anticipation rule, ASGM can show the transition from free flow to synchronized flow. Due to the slow-to-start rule, ASGM can show the spontaneous wide moving jam emerges in the synchronized flow. Simulations are carried out for periodic and open boundary conditions. Under periodic boundary condition, the fundamental diagram, and the properties of synchronized flow are studied. Under open boundary condition, different congested patterns induced by an on-ramp are analyzed. We found that the ASGM produces the same spatiotemporal dynamics as many of the more complex three-phase models. Due to its simplicity and its close relation to conventional slow-to-start models, this model can shed light on the relation between ‘two-phase’ and three-phase models.
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DOI：
--
发表时间：
1989-12
期刊：
--
影响因子：
--
作者：
A. May
通讯作者：
A. May
影响因子：
1.7
作者：
A. Grayling
通讯作者：
A. Grayling
DOI：
10.2307/3621729
发表时间：
2000-07
期刊：
The Mathematical Gazette
影响因子：
--
作者：
L. Chambers
通讯作者：
L. Chambers
影响因子：
2.4
作者：
Krauss, S;Wagner, P;Gawron, C
通讯作者：
Gawron, C
DOI：
10.1088/0031-9112/26/11/028
发表时间：
1975-11
期刊：
Physics Bulletin
影响因子：
--
作者：
K. Whiteman
通讯作者：
K. Whiteman