A NEW LATTICE MODEL OF TRAFFIC FLOW WITH THE CONSIDERATION OF THE HONK EFFECT

Guanghan Peng (), Xinhua Cai (), Changqing Liu () and Binfang Cao ()
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Guanghan Peng: College of Physics and Electronics, Hunan University of Arts and Science, Changde 415000, China
Xinhua Cai: College of Physics and Electronics, Hunan University of Arts and Science, Changde 415000, China
Changqing Liu: College of Physics and Electronics, Hunan University of Arts and Science, Changde 415000, China
Binfang Cao: College of Physics and Electronics, Hunan University of Arts and Science, Changde 415000, China

International Journal of Modern Physics C (IJMPC), 2011, vol. 22, issue 09, 967-976

Abstract: In this paper, a new lattice model is presented with the consideration of the honk effect. The stability condition is obtained by the linear stability analysis. The modified Korteweg–de Vries (KdV) equation is derived to describe the phase transition of traffic flow through nonlinear analysis. The space is divided into three regions: the stable region, the metastable region and the unstable region, respectively. And numerical simulation is carried out to validate the analytic results. The results implied that the honk effect could stabilize traffic flow and suppress the traffic jam in lattice model of traffic flow.

Keywords: Traffic flow; lattice model; honk effect; 45.70.Vn; 89.40.-a; 02.60.Cb; 05.70.Fh (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (9)

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DOI: 10.1142/S0129183111016725

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