Eur. Phys. J. B (2016) 89: 203
https://doi.org/10.1140/epjb/e2016-60958-0

Regular Article

The effects of overtaking strategy in the Nagel-Schreckenberg model

Complexity Science Center, Institute of Particle Physics, Central China Normal University, Wuhan 430079, P.R. China

^a e-mail: wdeng@mail.ccnu.edu.cn
^b e-mail: liw@mail.ccnu.edu.cn

Received: 14 December 2015
Received in final form: 24 June 2016
Published online: 21 September 2016

Abstract

Based on the Nagel-Schreckenberg (NS) model with periodic boundary conditions, we proposed the NSOS model by adding the overtaking strategy (OS). In our model, overtaking vehicles are randomly selected with probability q at each time step, and the successful overtaking is determined by their velocities. We observed that (i) traffic jams still occur in the NSOS model; (ii) OS increases the traffic flow in the regime where the densities exceed the maximum flow density. We also studied the phase transition (from free flow phase to jammed phase) of the NSOS model by analyzing the overtaking success rate, order parameter, relaxation time and correlation function, respectively. It was shown that the NSOS model differs from the NS model mainly in the jammed regime, and the influence of OS on the transition density is dominated by the braking probability p.