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Based on the NaSch cellular automaton traffic model, a modified single lane traffic model is proposed by considering the dynamic headway of successive vehicles, in which the complex characteristic and driving behavior difference between drivers are taken into account. The relationship between the flow rate and the traffic density is obtained by the numerical simulation, and it shows a two-dimensional region in the flow density plane. The three traffic phases, i.e., free flow, synchronized flow, and wide moving jams, are exhibited. It indicates that the synchronized flow and traffic jams can appear even if there is no traffic bottleneck. Besides, the high speed car-following phenomenon is indicated when the traffic is in the synchronized flow. The rate of the high speed car-following is in good agreement with the measured result.
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Keywords:
- three-phase traffic flow /
- cellular automaton model /
- dynamic headway /
- high speed car-following
[1] Nagel K, Schreckenberg M 1992 J. Phys. I (France) 2 2221
[2] Mitarai N, Nakanishi H 2000 Phys. Rev. Lett. 85 1766
[3] Xue Y, Dong L Y, Dai S Q 2001 Acta Phys. Sin. 50 445 (in Chinese) [薛郁, 董力耘, 戴世强 2001 物理学报 50 445]
[4] Lei L, Xue Y, Dai S Q 2003 Acta Phys. Sin. 52 2121 (in Chinese) [雷丽, 薛郁, 戴世强 2003 物理学报 52 2121]
[5] Fang Y, Chen J Z, Peng Z Y 2013 Chin. Phys. B 22 108902
[6] Zheng Y Z, Zheng P J, Ge H X 2014 Chin. Phys. B 23 020503
[7] Kerner B S, Rehborn H 1996 Phy. Rev. E 53 4275
[8] Kerner B S, Klenov S L Wolf D E 2002 J. Phys. A 35 9971
[9] Kerner B S 2012 Phy. Rev. E 85 036110
[10] Orosz G, Wilson R E, Stepan G 2010 Phil. Trans. R. Soc. A 368 4455
[11] Yeo H, Skabardonis A 2009 In: Lam W et al eds. 18th International. Symposium. Traffic Theory and Transportation (vol. 1) (Hong Kong, China: Springer) p99
[12] Laval J A, Leclercq L 2010 Phil. Trans. R. Soc. A 368 4519
[13] Kerner B S 2013 Physica A 392 5261
[14] Jiang R, Hu M B, Zhang H M, Gao Z Y, Jia B 2014 PLoS ONE 9 e94351
[15] Wu S C, Zheng X Q, Guo M M, Wu Z 2011 Sci. Sin. Phys. Mech. Astron. 41 791 (in Chinese) [吴胜春, 郑贤清, 郭明旻, 吴正 2011 中国科学: 物理学 力学 天文学41 791]
[16] Wagner P 1996 In: Wolf D E et al. eds. Traffic and Granular Flow (Singapore: World Scientific) p139
[17] Benjamin S C, Johnson N F, Hui P M 1996 J. Phys. A 29 3119
[18] Li X B, Wu Q S, Jiang R 2001 Phys. Rev. E 64 066128
[19] Zhu H B 2010 Physica A 389 3134
[20] Lin Z X, Guo M M, Zheng X Q 2010 Chin. J. Theor. Appl. Mech. 42 848 (in Chinese) [林展熙, 郭明旻, 郑贤清 2010 力学学报 42 848]
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[1] Nagel K, Schreckenberg M 1992 J. Phys. I (France) 2 2221
[2] Mitarai N, Nakanishi H 2000 Phys. Rev. Lett. 85 1766
[3] Xue Y, Dong L Y, Dai S Q 2001 Acta Phys. Sin. 50 445 (in Chinese) [薛郁, 董力耘, 戴世强 2001 物理学报 50 445]
[4] Lei L, Xue Y, Dai S Q 2003 Acta Phys. Sin. 52 2121 (in Chinese) [雷丽, 薛郁, 戴世强 2003 物理学报 52 2121]
[5] Fang Y, Chen J Z, Peng Z Y 2013 Chin. Phys. B 22 108902
[6] Zheng Y Z, Zheng P J, Ge H X 2014 Chin. Phys. B 23 020503
[7] Kerner B S, Rehborn H 1996 Phy. Rev. E 53 4275
[8] Kerner B S, Klenov S L Wolf D E 2002 J. Phys. A 35 9971
[9] Kerner B S 2012 Phy. Rev. E 85 036110
[10] Orosz G, Wilson R E, Stepan G 2010 Phil. Trans. R. Soc. A 368 4455
[11] Yeo H, Skabardonis A 2009 In: Lam W et al eds. 18th International. Symposium. Traffic Theory and Transportation (vol. 1) (Hong Kong, China: Springer) p99
[12] Laval J A, Leclercq L 2010 Phil. Trans. R. Soc. A 368 4519
[13] Kerner B S 2013 Physica A 392 5261
[14] Jiang R, Hu M B, Zhang H M, Gao Z Y, Jia B 2014 PLoS ONE 9 e94351
[15] Wu S C, Zheng X Q, Guo M M, Wu Z 2011 Sci. Sin. Phys. Mech. Astron. 41 791 (in Chinese) [吴胜春, 郑贤清, 郭明旻, 吴正 2011 中国科学: 物理学 力学 天文学41 791]
[16] Wagner P 1996 In: Wolf D E et al. eds. Traffic and Granular Flow (Singapore: World Scientific) p139
[17] Benjamin S C, Johnson N F, Hui P M 1996 J. Phys. A 29 3119
[18] Li X B, Wu Q S, Jiang R 2001 Phys. Rev. E 64 066128
[19] Zhu H B 2010 Physica A 389 3134
[20] Lin Z X, Guo M M, Zheng X Q 2010 Chin. J. Theor. Appl. Mech. 42 848 (in Chinese) [林展熙, 郭明旻, 郑贤清 2010 力学学报 42 848]
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