Two velocity difference effect in car following model
In the light of the optimal velocity model, a two-velocity-difference model for a car-following theory was put forward considering navigation in modern traffic systems. To our knowledge, the model is an improvement over the previous ones theoretically, because more aspects in the car-following process were considered than others. Then the property of the model was studied through linear and nonlinear analyses. The modified Korteweg-de Vries equation (for short, the mKdV equation) around the critical point was derived by applying the reductive perturbation method. The traffic jam could be thus described by the kink-anti-kink soliton for the mKdV equation. The numerical simulation was made to verify the model, and good result was obtained.
Hong-xia Ge Hui-bing Zhu Shi-qiang Dai
Faculty of Science, University of Ningbo, Ningbo 315211, Zhejiang Province, China Faculty of Architectural, Civil Engineering and Environment, Ningbo University,Ningbo 315211, Zhejia Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
940-943
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）