Mean-field theory for the Nagel-Schreckenberg model with overtaking strategy

作     者：Zhu Su Weibing Deng Jihui Han Wei Li Xu Cai 

作者机构：National Engineering Laboratory for Technology of Big Data Applications in Education Central China Normal University Wuhan P. R. China Complexity Science Center Institute of Particle Physics Central China Normal University Wuhan P. R. China School of Computer and Communication Engineering Zhengzhou University of Light Industry Zhengzhou P.R. China 

出 版 物：《Journal of Physics: Conference Series》 

年 卷 期：2018年第1113卷第1期

学科分类：07[理学] 0702[理学-物理学] 

摘      要：Based on the Nagel-Schreckenberg (NS) model with periodic boundary conditions, a modified model considered overtaking strategy (NSOS) has been proposed [1, 2]. In this paper, we focus on the theoretical analysis of traffic flow for NSOS model by using mean-field method. In the special case of vmax = 1 where vehicles can not overtake preceding ones, the features of stationary state can be obtained exactly. However, in the case of vmax 1 where overtaking happens, some approximative methods have to be took into account. The main results are that we find the reason why traffic flow is increased in the regime where densities exceed the maximum flow density, and the influence of traffic flow on the transition density is dominated by the braking probability p.