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CLC number: U491.112

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Received: 2004-11-17

Revision Accepted: 2005-03-03

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Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.2 P.204-209


Numerical analysis on car-following traffic flow models with delay time

Author(s):  Li Li, Shi Peng-fei

Affiliation(s):  Institute of Image Processing and Pattern Recognition, Shanghai Jiao Tong University, Shanghai 200030, China

Corresponding email(s):   joujou@sjtu.edu.cn

Key Words:  Car-following models, Delay time, Relaxation time, Phase transitions

Li Li, Shi Peng-fei. Numerical analysis on car-following traffic flow models with delay time[J]. Journal of Zhejiang University Science A, 2006, 7(2): 204-209.

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publisher="Zhejiang University Press & Springer",

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%T Numerical analysis on car-following traffic flow models with delay time
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T1 - Numerical analysis on car-following traffic flow models with delay time
A1 - Li Li
A1 - Shi Peng-fei
J0 - Journal of Zhejiang University Science A
VL - 7
IS - 2
SP - 204
EP - 209
%@ 1673-565X
Y1 - 2006
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2006.A0204

Effects of the speed relaxation time on the optimal velocity car-following model (OVM) with delay time due to driver reaction time proposed by Bando et al.(1995) were studied by numerical methods. Results showed that the OVM including the delay is not physically sensitive to the speed relaxation times. A modified car-following model is proposed to overcome the deficiency. Analyses of the linear stability of the modified model were conducted. It is shown that coexisting flows appear if the initial homogeneous headway of the traffic flow is between critical values. In addition, phase transitions occur on varying the initially homogeneous headway.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1] Bando, M., Hasebe, K., Nakayama, A., Shibata, A., Sugiyama, Y., 1995. Dynamic model of traffic congestion and numerical simulation. Physical Reviews E, 51(2):1035-1042.

[2] Bando, M., Hasebe, K., Nakanishi, K., Nakayama, A., 1998. Analysis of optimal velocity model with explicit delay. Physical Reviews E, 58(5):5429-5435.

[3] Davis, L.C., 2003. Modifications of the optimal velocity traffic model to include delay due to driver reaction time. Physica A, 319:557-567.

[4] Helbing, D., Tilch, B., 1998. Generalized force model of traffic dynamics. Physical Review E, 58(1):133-138.

[5] Jiang, R., Wu, Q.S., 2003. First- and second-phase transitions from free flow to synchronized flow. Physica A, 322:676-684.

[6] Kerner, B.S., Rehborn, H., 1997. Experimental properties of phase transitions in traffic flow. Physical Review E, 79(20):4030-4033.

[7] Nagatani, T., 1998. Thermodynamic theory for the jamming transition in traffic flow. Physical Review E, 58(4):4271-4276.

[8] Treiber, M., Henneche, A., Helbing, D., 2000. Congested traffic states in empirical observations and microscopic simulations. Physical Review E, 62(2):1805-1823.

[9] Treiber, M., Kesting, A., Helbing, D., 2004. Multi-anticipative Driving in Microscopic Traffic Models. Eprint arXiv: cond-mat/0404736.

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