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

作　　者：孙舵[1] 汪秉宏[1,2] 

机构地区：[1]中国科学技术大学近代物理系,合肥230026 [2]上海理工大学复杂系统科学研究中心及上海系统科学研究院,上海200093

出　　处：《吉林大学学报（工学版）》2009年第S2期80-82,共3页Journal of Jilin University:Engineering and Technology Edition

基　　金：“973”国家重点基础研究发展规划项目(2006CB705500);国家自然科学基金项目(60744003,10635040,10532060,10975126);高等学校博士学科点专项科研基金项目(20060358065);国家基础科学人才培养基金项目(J0630319)

摘　　要：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.

关 键 词：交通运输工程 BML模型 红绿灯周期 平均场理论 

分 类 号：U491.112[交通运输工程—交通运输规划与管理]