A New Coupled Map Car-Following Model Considering the Synergy Effect of Ahead-Backward Vehicles

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Abstract:

Based on the pioneer work of Konishi et al., with consideration of the influence of the synergy effect of ahead-backward vehicles on the traffic flow, we develop a new coupled map car-following model on single road. By applying the control theory, the stability condition of our model is derived. To check the validity of the present theoretical scheme, the numerical simulation is carried out for our model, and it confirms the correctness of the theoretical analysis.

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Advanced Materials Research (Volumes 1061-1062)

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1059-1063

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December 2014

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© 2015 Trans Tech Publications Ltd. All Rights Reserved

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[1] B.S. Kerner, H. Rehborn, Experimental features and characteristics of traffic jams, Phys. Rev. E 53(1996) 1297-1300.

DOI: 10.1103/physreve.53.r1297

Google Scholar

[2] T. Wang, Z. Y. Gao, X. M. Zhao, Multiple velocity difference model and its stability analysis, Acta Phys. Sin. 55(2006) 634-640.

Google Scholar

[3] R. Jiang, Q. S. Wu, Z. J. Zhu, Full velocity difference model for a car-following theory, Phys Rev E 64( 2001) 017101.

Google Scholar

[4] G. H. Peng, D.H. Sun, A dynamical model of car-following with the consideration of the multiple information of preceding cars, Phys. Lett. A 374(2010) 1694-1698.

DOI: 10.1016/j.physleta.2010.02.020

Google Scholar

[5] T.Q. Tang, C.Y. Li, Y.H. Wu, H. J, Huang. Impact of the honk effect on the stability of traffic flow, Physica A 390(2011) 362-3368.

DOI: 10.1016/j.physa.2011.05.010

Google Scholar

[6] J. Sheng, D. H. Wang, Z. Y. Huang, P. F. Tao, Visual angle model for car-following theory, Physica A 390(2011) 1931-(1940).

Google Scholar

[7] T. Q. Tang, H. J. Huang, S. C. Wong, R Jiang, Lane changing analysis for two-lane traffic flow, Acta Mech. Sin. 23(2007) 49-54.

DOI: 10.1007/s10409-007-0054-9

Google Scholar

[8] S. G. Kurata, T. Nagatani, Spatio-temporal dynamics of jams in two-lane traffic flow with a blockage, Physica A 318(2003) 537-550.

DOI: 10.1016/s0378-4371(02)01376-6

Google Scholar

[9] K. J. Konishi, H. Kokame, K. Hirata, Coupled map car-following model and its delayed-feedback control, Phys. Rev. E, 60(1999) 4000-4007.

DOI: 10.1103/physreve.60.4000

Google Scholar

[10] X. M Zhao, Z. Y. Gao, A control method for congested traffic induced by bottlenecks in the coupled map car-following model, Physica A 66(2006) 513-522.

DOI: 10.1016/j.physa.2005.11.004

Google Scholar

[11] C. Y. Jiang, X. L. Han, H. X. Ge, S. Q. Dai, A modified coupled map car-following model based on application of intelligent transportation system and control of traffic congestion, Acta Phys. Sin. 56(2007) 4383-4392.

DOI: 10.1007/978-3-540-77074-9_32

Google Scholar

[12] H. X. Ge, X. P. Meng, J. Ma, S. M. Lo, An improved car-following model considering influence of other factors on traffic jam, 377(2012) 9-12.

DOI: 10.1016/j.physleta.2012.10.005

Google Scholar