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Ge, Hong-Xia; Liu, Yu-Xia; Cheng, Rong-Jun; Lo, Siu-Ming

A modified coupled map car following model and its traffic congestion analysis. (English) Zbl 1248.93010

Commun. Nonlinear Sci. Numer. Simul. 17, No. 11, 4439-4445 (2012).
Summary: Based on the coupled map car following model which was presented by Konishi et al. K. Konishi, H. Kokame, and K. Hirate [Phys Rev E 1999; 60, 4000-40007], (for short, KKH), a modified coupled map car following model is proposed. In this model, two successive vehicles’ headway distances in front of the considered one are incorporated in the Optimal Velocity (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 the 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. 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.

Cited in 9 Documents

MSC:

93A30 Mathematical modelling of systems (MSC2010)
93C55 Discrete-time control/observation systems
90B20 Traffic problems in operations research
93D09 Robust stability

Keywords:

traffic flow; coupled map car following model; optimal velocity function; feedback control scheme
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\textit{H.-X. Ge} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 11, 4439--4445 (2012; Zbl 1248.93010)
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References:

[1] Chowdhury, D.; Santen, L.; Schadschneider, A., Phys rep, 329, 199, (2000)
[2] Helbing, D., Rev mod phys, 73, 1067, (2001)
[3] Li, Z.P.; Li, X.L.; Liu, F.Q., Int J mod phys C, 19, 8, 1163-1173, (2008)
[4] Li, Z.P.; Liu, F.Q., Int J mod phys C, 18, 5, 819-832, (2007)
[5] Dai, S.Q.; Dong, L.Y.; Li, Q.D., Chin phys B, 58, 11, 7584, (2009)
[6] Helbing, D.; Hennecke, A.; Shvetsov, V.; Treiber, M., Trans res B, 35, 183, (2001)
[7] Huang, H.J.; Wong, S.C.; Jiang, R.; Tang, T.Q., Chin phys B, 58, 3, 975, (2009)
[8] Komatsu, T.; Sasa, S., Phys rev E, 525, 574, (1995)
[9] Newell, G.F., Oper res, 9, 218, (1961)
[10] Bando, M.; Hasebe, K.; Nakayama, A., Phys rev E, 51, 1035, (1995)
[11] Konishi, K.J.; Kokame, H.; Hirate, K., Phys rev E, 60, 4000, (1999)
[12] Zhao, X.M.; Gao, Z.Y., Physica A, 366, 513, (2006)
[13] Han, X.L.; Jiang, C.Y.; Ge, H.X.; Dai, S.Q., Acta phys sin, 56, 4383, (2007), [in Chinese]
[14] Shen, F.Y.; Zhang, H.; Ge, H.X.; Yu, H.M.; Lei, L., Chin phys B, 18, 10, 4208, (2009)
[15] Yu, H.M.; Cheng, R.J.; Ge, H.X., Commun theor phys, 54, 1, 117, (2010)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.