Analyses of driver's anticipation effect in sensing relative flux in a new lattice model for two-lane traffic system

被引:235
作者
Gupta, Arvind Kumar [1 ]
Redhu, Poonam [1 ]
机构
[1] Indian Inst Technol Ropar, Dept Math, Rupnagar 140001, India
关键词
Traffic flow; Driver's anticipation effect; Two-lane system; MODIFIED KDV EQUATION; CAR-FOLLOWING MODEL; JAMMING TRANSITION; HYDRODYNAMIC MODEL; CONTINUUM MODELS; MACRO MODEL; FLOW; DIFFERENCE;
D O I
10.1016/j.physa.2013.07.040
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, a new lattice hydrodynamic traffic flow model is proposed by considering the driver's anticipation effect in sensing relative flux (DAESRF) for two-lane system. The effect of anticipation parameter on the stability of traffic flow is examined through linear stability analysis and shown that the anticipation term can significantly enlarge the stability region on the phase diagram. To describe the phase transition of traffic flow, mKdV equation near the critical point is derived through nonlinear analysis. The theoretical findings have been verified using numerical simulation which confirms that traffic jam can be suppressed efficiently by considering the anticipation effect in the new lattice model for two-lane traffic. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:5622 / 5632
页数:11
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