红绿灯周期对二维交通流的影响及平均场理论

Effects of traffic lights period and application of mean-field theory in two dimension traffic flow

基于二维交通流Biham-Middleton-Levine(BML)模型,研究了不同红绿灯周期对交通状况的影响。模型模拟结果显示:随着车辆密度的增加,在一定的临界密度下,车辆的平均速度会突然从高速相变成低速相,并随着红绿灯周期的增大,这一临界密度非严格单调递减。对模型进行了平均场理论解析,其结果与模拟结果基本符合,并进一步解释了非单调现象。

The effects of different traffic lights period on the traffic flow were studied based on two dimension Biham-Middleton-Levine(BML) model.The simulation results in BML model show that,the average velocity of the vehicles has a sharp change from high-speed phase to low-speed phase at the certain critical vehicle density with the increase of vehicle density,and this critical density do not strictly decreases with the increase of the traffic lights period.A mean-field theoretical analysis was made,and its results basically agree with the simulation results.Finally,the non-monotonic phenomenon was futher discussed.