The "backward looking" effect in the lattice hydrodynamic model

被引：48

作者：

Hong-Xia, Ge ^{[1
]}

Rong-Jun, Cheng ^{[2
]}

机构：

[1] Ningbo Univ, Fac Sci, Ningbo 315211, Zhejiang, Peoples R China

[2] Zhejiang Univ, Dept Fundamental Course, Ningbo Inst Technol, Ningbo 315100, Zhejiang, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2008年 / 387卷 / 28期

基金：

中国国家自然科学基金;

关键词：

Traffic flow; Lattice hydrodynamic model; Stabilization;

D O I：

10.1016/j.physa.2008.05.060

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The novel lattice hydrodynamic model is presented by incorporating the "backward looking" effect. The stability condition for the the model is obtained using the linear stability theory. The result shows that considering one following site in vehicle motion leads to the stabilization of the system compared with the original lattice hydrodynamic model and the cooperative driving lattice hydrodynamic model. The Korteweg-de Vries (KdV, for short) equation near the neutral stability line is derived by using the reductive perturbation method to show the traffic jam which is proved to be described by KdV soliton solution obtained from the KdV equation. The simulation result is consistent with the nonlinear analysis. (C) 2008 Published by Elsevier B.V.

引用

页码：6952 / 6958

页数：7

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