The role of passing in a two-dimensional network

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• 作者：Poonam Redhu ; Arvind Kumar Gupta
• 关键词：Traffic flow ; Square lattice ; Passing ; Jamming transition
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：86
• 期：1
• 页码：389-399
• 全文大小：1,492 KB
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X
• 卷排序：86

文摘

The phenomenon of passing on a two-dimensional network has been studied through lattice hydrodynamic approach. Near the critical point, the effect of passing is investigated theoretically and numerically. The modified Korteweg–de Vries equation near the critical point is derived using the reduction perturbation method through nonlinear analysis. Analytically, it is shown that for all possible configurations of vehicle, the stable region significantly reduces with an increase in the passing rate. It is shown that the jamming transition occurs among no jam to chaotic jam for any configuration of vehicles for larger rate of passing constant, while for smaller rate of passing, the jamming transitions occur from no jam to chaotic jam through kink jam for any configuration of vehicles. The results show that the modified model is able to explain the complex phenomena of traffic flow at a better level of accuracy than the most of the existing models. Simulation results are found consistent with the theoretical findings, which confirm that the passing plays a significant role in a two-dimensional traffic system.