Self-similar behavior of a single vehicle through periodic traffic lights
Self-similar behavior of a single vehicle through periodic traffic lights
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DOI：
10.1016/j.physa.2004.08.007
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发表时间：
2005-03
影响因子：
3.3
通讯作者：
T. Nagatani
中科院分区：
文献类型：
--
作者：
T. Nagatani
研究了单车道高速公路上单辆车通过一系列交通灯的动力学行为，其中交通灯采用同步或绿波策略周期性地打开和关闭。用非线性映射表示交通灯控制车辆的动力学模型。车辆的行驶时间表现出复杂的行为，与交通灯的序列相互作用。在绿波策略下，低密度信号灯交通的动力学行为为ts=l/v+τ，其中l为信号灯之间的距离，v为车辆的平均速度，τ为信号灯的延误。当信号灯周期ts小于（l/v+τ）时，车辆表现出自相似行为;当ts>（l/v+τ）时，车辆表现出周期行为。阐明了自相似行为的特征。
We study the dynamical behavior of a single vehicle moving through a sequence of traffic lights on a single-lane highway, where the traffic lights turn on and off periodically with the synchronized or green-wave strategies. The dynamical model of the vehicle controlled by traffic lights is expressed in terms of the nonlinear map. The tour time of the vehicle exhibits a complex behavior, interacting with the sequence of traffic lights. The dynamical behavior of signal traffic at a low density changes at ts=l/v+τ, where l is the distance between the traffic lights, v the mean speed of the vehicle, and τ the delay of traffic light at the green-wave strategy. When the cycle time tsof traffic lights is less than (l/v+τ), the vehicle exhibits the self-similar behavior, while it shows the periodic behavior for ts>(l/v+τ). The characteristics of the self-similar behavior is clarified.