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2020 | OriginalPaper | Buchkapitel

Analysis of the Stability and Solitary Waves for the Car-Following Model on Two Lanes

verfasst von : WenHuan Ai, Tao Xing, YuHang Su, DaWei Liu, Huifang Ma

Erschienen in: Intelligent Information Processing X

Verlag: Springer International Publishing

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Abstract

In this paper, Analysis of the stability and solitary waves for a car-following model on two lanes is carried out. The stability condition of the model is obtained by using the linear stability theory. We study the nonlinear characteristics of the model and obtain the solutions of Burgers equation, KDV equation, and MKDV equation, which can be used to describe density waves in three regions (i.e., stable, metastable and unstable), respectively. The analytical results show that traffic flow can be stabilized further by incorporating the effects come from the leading car of the nearest car on neighbor lane into car-following model.

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Literatur
2.
Zurück zum Zitat Liu, D.W., Shi, Z.K., Ai, W.H.: Enhanced stability of car-following model upon incorporation of short-term driving memory. Commun. Nonlinear Sci. Numer. Simul. 47, 139–150 (2016)MathSciNetCrossRef Liu, D.W., Shi, Z.K., Ai, W.H.: Enhanced stability of car-following model upon incorporation of short-term driving memory. Commun. Nonlinear Sci. Numer. Simul. 47, 139–150 (2016)MathSciNetCrossRef
3.
Zurück zum Zitat Liu, D.W., Shi, Z.K., Ai, W.H.: A new car-following model accounting for impact of strong wind. Math. Probl. Eng. 1, 1–12 (2017) Liu, D.W., Shi, Z.K., Ai, W.H.: A new car-following model accounting for impact of strong wind. Math. Probl. Eng. 1, 1–12 (2017)
4.
Zurück zum Zitat Liu, D.W., Shi, Z.K., Ai, W.H.: An improved car-following model from the perspective of driver’s forecast behavior. Int. J. Mod. Phys. C 28(4), 1–12 (2017) Liu, D.W., Shi, Z.K., Ai, W.H.: An improved car-following model from the perspective of driver’s forecast behavior. Int. J. Mod. Phys. C 28(4), 1–12 (2017)
5.
Zurück zum Zitat Shi, Z.K., Ai, W.H., Liu, D.W.: An improved macro model of traffic flow with the consideration of ramps and numerical tests. Math. Probl. Eng. 2015(136451), 1–6 (2015) Shi, Z.K., Ai, W.H., Liu, D.W.: An improved macro model of traffic flow with the consideration of ramps and numerical tests. Math. Probl. Eng. 2015(136451), 1–6 (2015)
6.
Zurück zum Zitat Jiang, R., Wu, Q.S., Zhu, Z.J.: Full velocity difference model for a car-following theory. Phys. Rev. E 64, 63–66 (2001)CrossRef Jiang, R., Wu, Q.S., Zhu, Z.J.: Full velocity difference model for a car-following theory. Phys. Rev. E 64, 63–66 (2001)CrossRef
7.
Zurück zum Zitat Ge, H.X., Dai, S.Q., Dong, L.Y., Xue, Y.: Stabilization effect of traffic flow in an extended car-following model based on an intelligent transportation system application. Phys. Rev. E 70, 066134 (2004)CrossRef Ge, H.X., Dai, S.Q., Dong, L.Y., Xue, Y.: Stabilization effect of traffic flow in an extended car-following model based on an intelligent transportation system application. Phys. Rev. E 70, 066134 (2004)CrossRef
8.
Zurück zum Zitat Chen, X., Gao, Z.Y., Zhao, X.M., Jia, B.: Study on the two-lane feedback controled car-following model. Acta Phys. Sin. 56, 2024–2029 (2007) Chen, X., Gao, Z.Y., Zhao, X.M., Jia, B.: Study on the two-lane feedback controled car-following model. Acta Phys. Sin. 56, 2024–2029 (2007)
9.
Zurück zum Zitat Zheng, L., Ma, S.F., Zhong, S.Q.: Influence of lane change on stability analysis for two-lane traffic flow. Chin. Phys. B 20, 088701 (2011)CrossRef Zheng, L., Ma, S.F., Zhong, S.Q.: Influence of lane change on stability analysis for two-lane traffic flow. Chin. Phys. B 20, 088701 (2011)CrossRef
10.
Zurück zum Zitat Nagatani, T.: Jamming transitions and the modified Korteweg-de Vries equation in a two-lane traffic flow. Phys. A 265, 297–310 (1999)CrossRef Nagatani, T.: Jamming transitions and the modified Korteweg-de Vries equation in a two-lane traffic flow. Phys. A 265, 297–310 (1999)CrossRef
11.
Zurück zum Zitat Peng, G.: A new lattice model of two-lane traffic flow with the consideration of optimal current difference. Phys. Lett. A 377, 2027–2033 (2013)MathSciNetCrossRef Peng, G.: A new lattice model of two-lane traffic flow with the consideration of optimal current difference. Phys. Lett. A 377, 2027–2033 (2013)MathSciNetCrossRef
12.
Zurück zum Zitat Peng, G.: A new lattice model of the traffic flow with the consideration of the driver anticipation effect in a two-lane system. Nonlinear Dyn. 73, 1035–1043 (2013)MathSciNetCrossRef Peng, G.: A new lattice model of the traffic flow with the consideration of the driver anticipation effect in a two-lane system. Nonlinear Dyn. 73, 1035–1043 (2013)MathSciNetCrossRef
13.
Zurück zum Zitat Guang-Han, P.: A new lattice model of two-lane traffic flow with the consideration of the honk effect. Commun. Oretical Phys. 60, 485–490 (2013)MathSciNetMATH Guang-Han, P.: A new lattice model of two-lane traffic flow with the consideration of the honk effect. Commun. Oretical Phys. 60, 485–490 (2013)MathSciNetMATH
14.
Zurück zum Zitat Peng, G.: A new lattice model of traffic flow with the consideration of individual difference of anticipation driving behavior. Commun. Nonlinear Sci. Numer. Simul. 18, 2801–2806 (2013)MathSciNetCrossRef Peng, G.: A new lattice model of traffic flow with the consideration of individual difference of anticipation driving behavior. Commun. Nonlinear Sci. Numer. Simul. 18, 2801–2806 (2013)MathSciNetCrossRef
15.
Zurück zum Zitat Tang, T.Q., Huang, H.J., Gao, Z.Y.: Stability of the car-following model on two lanes. Phys. Rev. E 72, 066124 (2005)CrossRef Tang, T.Q., Huang, H.J., Gao, Z.Y.: Stability of the car-following model on two lanes. Phys. Rev. E 72, 066124 (2005)CrossRef
Metadaten
Titel
Analysis of the Stability and Solitary Waves for the Car-Following Model on Two Lanes
verfasst von
WenHuan Ai
Tao Xing
YuHang Su
DaWei Liu
Huifang Ma
Copyright-Jahr
2020
DOI
https://doi.org/10.1007/978-3-030-46931-3_23

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