A modified coupled map car following model and its traffic congestion analysis

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• 作者：Hong-Xia Ge^a ; ^c ; Yu-Xia Liu^a ; Rong-Jun Cheng^b ; Siu-Ming Lo^c ; ^{bcsmli@cityu.edu.hk}
• 关键词：Traffic flow ; Coupled map car following model ; Optimal velocity function ; Feedback control scheme
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：2012
• 期刊代码：89_10075704
• 类别：ph
• 出版时间：November, 2012
• 卷：17
• 期：11
• 页码：4439-4445
• 文件大小：719 K

摘要

Based on the coupled map car following model which was presented by Konishi et al. [Konishi KJ, Kokame H, Hirate K. Phys Rev E 1999;60:4000-7.] (for short, KKH), a modified coupled map car following model is proposed. In this model two successive vehicles鈥?headway distances in front of the considered one are incorporated in the optimal velocity (for short, OV) function. The stability condition is given for the change of the speed of the preceding vehicle on the base of the control theory. The control scheme in KKH model is applied to the modified model and the feedback gains are determined. Comparison between the modified model and KKH model is carried out. And the corresponding numerical simulation results show that the temporal behavior obtained by our model is better than that by KKH model. The simulation results are in good agreement with the theoretical analysis.