A type of multiple "look-ahead" car-following models is studied by nonlinear analysis.The mKdV equationto describe density wave of traffic jamming is derived.The result indicates that the behavior of multipl...A type of multiple "look-ahead" car-following models is studied by nonlinear analysis.The mKdV equationto describe density wave of traffic jamming is derived.The result indicates that the behavior of multiple "look-ahead"is in favor of stability enhancement of traffic flow.Furthermore,the traffic flow can reach the most stable case viaadjustment of the parameter of weight functions m=3.展开更多
Car following theory is an important research direction in the field of intelligent transportation systems （ITS）, it describes the one-by-one following process of vehicles on the same lane in traffic flow, and one o...Car following theory is an important research direction in the field of intelligent transportation systems （ITS）, it describes the one-by-one following process of vehicles on the same lane in traffic flow, and one of its important issues is congestion control To explore the strategy for controlling traffic congestion, this paper introduces and analyzes some classic car following models, and gives a systematic review of their developments. Moreover, in order to introduce the approach to analyze the stability, taking the full velocity difference （FVD） model for example, the local and asymptotic stability analysis is discussed, while the corresponding nonlinear analysis is also conducted. Then, some perspectives of the car following model are given in the final.展开更多
基金The project supported by National Natural Science Foundation of China under Grant Nos. 10662002 and 10532060the State Key Basic Research Program of China under Grant No. 2006CB705500+1 种基金the Natural Science Foundation of Guangxi Zhuang Autonomous Region under Grant No. 0640003the Special Foundation for the New Century Talents Program of Guangxi Zhuang Autonomous Region under Grant No. 2005205
文摘A type of multiple "look-ahead" car-following models is studied by nonlinear analysis.The mKdV equationto describe density wave of traffic jamming is derived.The result indicates that the behavior of multiple "look-ahead"is in favor of stability enhancement of traffic flow.Furthermore,the traffic flow can reach the most stable case viaadjustment of the parameter of weight functions m=3.
基金supported by the Chongqing Natural Science Foundation (No. CSTC2012JJB40002)the Chongqing Academy of Science Foundation(No. CSTC2011JJYS30001)+1 种基金the Fundamental Research Funds for the Central Universities (No. CDJXS10170002)the Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 20090191110022)
文摘Car following theory is an important research direction in the field of intelligent transportation systems （ITS）, it describes the one-by-one following process of vehicles on the same lane in traffic flow, and one of its important issues is congestion control To explore the strategy for controlling traffic congestion, this paper introduces and analyzes some classic car following models, and gives a systematic review of their developments. Moreover, in order to introduce the approach to analyze the stability, taking the full velocity difference （FVD） model for example, the local and asymptotic stability analysis is discussed, while the corresponding nonlinear analysis is also conducted. Then, some perspectives of the car following model are given in the final.
