Flow difference effect in the two-lane lattice hydrodynamic model

doi:10.1088/1674-1056/21/7/070507

中国物理B ›› 2012, Vol. 21 ›› Issue (7): 70507-070507.doi: 10.1088/1674-1056/21/7/070507

Flow difference effect in the two-lane lattice hydrodynamic model

王涛^{a b}, 高自友^b, 赵小梅^b, 田钧方^b, 张文义^b

a College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266042, China;
b MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China

收稿日期:2011-12-07 修回日期:2012-01-06 出版日期:2012-06-01 发布日期:2012-06-01
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2012CB725400), the National Natural Science Foundation of China (Grant Nos. 71131001, 71071012, and 11001143), and the Fundamental Research Funds for the Central Universities of China (Grant No. 2011YJS235).

Flow difference effect in the two-lane lattice hydrodynamic model

Wang Tao(王涛)^a)b), Gao Zi-You(高自友)^b)†, Zhao Xiao-Mei(赵小梅)^b), Tian Jun-Fang(田钧方)^b), and Zhang Wen-Yi(张文义)^b)

a College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266042, China;
b MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China

Received:2011-12-07 Revised:2012-01-06 Online:2012-06-01 Published:2012-06-01
Contact: Gao Zi-You E-mail:zygao@bjtu.edu.cn
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2012CB725400), the National Natural Science Foundation of China (Grant Nos. 71131001, 71071012, and 11001143), and the Fundamental Research Funds for the Central Universities of China (Grant No. 2011YJS235).

摘要/Abstract

摘要： By introducing a flow difference effect, a modified lattice two-lane traffic flow model is proposed, which is proved to be capable of improving the stability of traffic flow. Both the linear stability condition and the kink--antikink solution derived from the modified Korteweg--de Vries (mKdV) equation are analyzed. Numerical simulations verify the theoretical analysis. Furthermore, the evolution laws under different disturbances in the metastable region is studied.

关键词: traffic flow, flow difference, lattice hydrodynamic model, modified Korteweg--de VriesKdV equation

Abstract: By introducing a flow difference effect, a modified lattice two-lane traffic flow model is proposed, which is proved to be capable of improving the stability of traffic flow. Both the linear stability condition and the kink--antikink solution derived from the modified Korteweg--de Vries (mKdV) equation are analyzed. Numerical simulations verify the theoretical analysis. Furthermore, the evolution laws under different disturbances in the metastable region is studied.

Key words: traffic flow, flow difference, lattice hydrodynamic model, modified Korteweg--de VriesKdV equation

中图分类号: (Phase transitions: general studies)

05.70.Fh

05.70.Jk (Critical point phenomena) 64.60.F- (Equilibrium properties near critical points, critical exponents)

王涛, 高自友, 赵小梅, 田钧方, 张文义 . Flow difference effect in the two-lane lattice hydrodynamic model[J]. 中国物理B, 2012, 21(7): 70507-070507.

Wang Tao(王涛), Gao Zi-You(高自友), Zhao Xiao-Mei(赵小梅), Tian Jun-Fang(田钧方), and Zhang Wen-Yi(张文义) . Flow difference effect in the two-lane lattice hydrodynamic model[J]. Chin. Phys. B, 2012, 21(7): 70507-070507.

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Flow difference effect in the two-lane lattice hydrodynamic model

Flow difference effect in the two-lane lattice hydrodynamic model

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