| Abstract: Based on vehicle – following model, we propose a new traffic flow dynamics model from both micro and macro
aspects. The model can overcome some of the problems that exist in the existing kinetic models, such as avoiding the phenomenon
that the traffic jam occurs in the vicinity of the disturbance density, thus exceeding the blockage density. Through design
of examples, the authors also simulated traffic flow under different conditions, which shows the model has good numerical
simulation capabilities, thus proving its theoretical and practical value. |
| References: [1] Tang, T. Q., Huang, H. J., Shang, H. Y. (2010). A new macro model for traffic flow with the consideration of the driver’s forecast effect[J]. Physics Letters A . 2010.
[2] Peng Guang-Han. (2010). Stabilisation analysis of multiple car-following model in traffic flow[J]. Chinese Physics B . 2010 (5)
[3] Tian Jun-Fang., Jia Bin., Li Xing-Gang., Gao Zi-You. (2010). Flow difference effect in the lattice hydrodynamic model[J]. Chinese Physics B . 2010 (4)
[4] Peng Guang-Han., Sun Di-Hua. (2009). Multiple car-following model of traffic flow and numerical simulation[J]. Chinese Physics B. 2009 (12)
[5] Shen Fei-Ying., Ge Hong-Xia., Zhang Hui., Yu Han-Mei., Lei Li. (2009). A control method for congested traffic in the coupled map carfollowing model[J]. Chinese Physics B. 2009 (10)
[6] Zhu Hui-Bing. (2008). Lattice models of traffic flow considering drivers’ delay in response[J]. Chinese Physics B . 2009 (4)
[7] I. Bonzani,L.M. Gramani Cumin. Modelling and simulations of multilane traffic flow by kinetic theory methods[J]. Computers and Mathematics with Applications. 2008 (9)
[8] Li-yun Dong, Ph. D., Qing-xun Meng. (2005). Effect of relative velocity on the optimal velocity model[J]. Journal of Shanghai University (English Edition). 2005 (4)
[9] Xiaomei Zhao., Ziyou Gao. (2005). A control method for congested traffic induced by bottlenecks in the coupled map carfollowing model[J]. Physica A: Statistical Mechanics and its Applications. 2005
[10] H. X. Ge,R. J., Cheng, S.Q., Dai. (2005). KdV. kink–antikink solitons in car-following models[J]. Physica A: Statistical Mechanics and its Applications . 2005 (3)
[11] Helbing, D. (2003). Treiber M.Traffic theory—jams, waves and clusters. Science,1998,282:2001-2003.
[12] Zhang Peng., Liu Ruxun. (2000). Analyses and remarks on traffic flow model along with its improvement. Journal of Kunming University of Science and Technology. 2000, 25(4): 118 - 123. |
