A DYNAMICAL MODEL WITH NEXT-NEAREST-NEIGHBOR INTERACTION IN RELATIVE VELOCITY

Zhipeng Li (), Yuncai Liu () and Fuqiang Liu ()
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Zhipeng Li: School of Electronics and Information Engineering, Tongji University, Shanghai, 200092, China
Yuncai Liu: Institute of Image Processing and Pattern Recognition, Shanghai Jiao Tong University, Shanghai, 200240, China
Fuqiang Liu: School of Electronics and Information Engineering, Tongji University, Shanghai 200092, China

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 05, 819-832

Abstract: By introducing the velocity difference between the preceding car and the car before the preceding one into the optimal velocity model (OVM), we present an extended dynamical model which takes into account the next-nearest-neighbor interaction in relative velocity. The stability condition of this model is derived by considering a small perturbation around the uniform flow solution and the validity of our theoretical analysis is also confirmed by direct simulations. The analytic and simulation results indicate that traffic congestion is suppressed efficiently by incorporating the effect of new consideration. Moreover, the effect of the new consideration is investigated by numerical simulation. In particular, the jamming flow, the current-density relation, and the propagation speed of small disturbance are examined in detail by varying various values of the parameter.

Keywords: Phase transition; density waves; traffic flow; car-following model; 89.40.-a; 45.70.Vn (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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DOI: 10.1142/S0129183107010450

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