交通流多预期延迟模型与数值仿真  

Multi-anticipation delay model for traffic flow and numerical simulation

作　　者：胡彦梅 马天山[1] 陈建忠[3] Hu Yanmei;Ma Tianshan;Chen Jianzhong(School of Economics&Management,Chang’an University,Xi’an 710064,China;College of Science,Chang’an University,Xi’an 710064,China;College of Automation,Northwestern Polytechnical University,Xi’an 710072,China)

机构地区：[1]长安大学经济与管理学院,西安710064 [2]长安大学理学院,西安710064 [3]西北工业大学自动化学院,西安710072

出　　处：《计算机应用研究》2018年第1期48-51,共4页Application Research of Computers

基　　金：国家自然科学基金资助项目(11102165;11772264);陕西省自然科学基础研究计划资助项目(2015JM1013);中央高校基本科研业务费专项资金资助项目(3102015ZY050)

摘　　要：为了更准确地描述交通流,考虑驾驶员反应延迟时间和前车信息的非均衡使用,建立一种多预期延迟跟驰模型。线性稳定性分析表明,驾驶员反应延迟时间的增加会降低交通流的稳定性,多个前车信息的使用可以提高交通流的稳定性。数值仿真的结果表明,减少司机的反映延迟时间和适当地增加前车信息都能提高交通流的稳定性。为尽可能少地引入输入变量,不均衡地利用前车的车间距和速度差信息是必要的;理论和数值模拟的结果均表明驾驶员反应延迟在交通拥堵的形成过程中起着重要作用。In order to describe the traffic flow more accurately,this paper proposed an extended multi-anticipation delayed car-following model by considering the reaction-time delay of drivers and using the unbalanced information of front vehicles.Linear stability analyses showed that increasing the reaction-time delay of drivers weakened the stability of traffic flow and appending the information of more vehicles ahead could enhance the stability.The results of numerical simulations demonstrate that decreasing the delay time or properly increasing the information from leading vehicles can promote the stability of traffic flow.It was necessary to unevenly use information of headways and velocity differences of front vehicles in order to introduce variables as little as possible.Both theoretical analysis and numerical simulations show that the reaction-time delay of drivers play an important role in the formation of traffic jams.

关 键 词：交通流 驾驶员反应延迟 多预期模型 稳定性分析 数值仿真 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]