Nonlinear analysis for an improved car-following model account for the optimal velocity changes with memory

被引：11
作者：
Jin, Zhizhan [1 ,2 ,3 ]
Li, Zhipeng [4 ]
Cheng, Rongjun [1 ,2 ,3 ]
Ge, Hongxia [1 ,2 ,3 ]
机构：
[1] Ningbo Univ, Fac Maritime & Transportat, Ningbo 315211, Zhejiang, Peoples R China
[2] Jiangsu Prov Collaborat Innovat Ctr Modern Urban, Nanjing 210096, Jiangsu, Peoples R China
[3] Ningbo Univ, Natl Traff Management Engn & Technol, Subctr, Ningbo 315211, Zhejiang, Peoples R China
[4] Tongji Univ, Minist Educ, Key Lab Embedded Syst & Serv Comp, Shanghai 201804, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2018年 / 507卷
基金：
中国国家自然科学基金;
关键词：
Traffic flow; Energy consumption; Memory; TDGL equation; mKdV equation; TRAFFIC FLOW; DIFFERENCE MODEL; JAMMING TRANSITION; FEEDBACK-CONTROL; LATTICE MODEL; VEHICLES; BEHAVIOR; IMPACTS; COST;
D O I：
10.1016/j.physa.2018.05.043
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, an extended car-following model is developed basing on the full velocity difference model (FVDM) to investigate the effect of the optimal velocity changes with memory on traffic flow. The stability conditions of the improved model are obtained through linear stability analysis. Then the time-dependent Ginzburg-Landau (TDGL) equation and the modified Korteweg-de Vries (mKdV) equation are derived by using nonlinear analysis. The kink-antikink soliton can describe the traffic jams near the critical point. Moreover, the evolution of traffic jam and corresponding the change of energy consumption are discussed. Numerical simulations show that the extended model is found not only to enhance the stability of traffic flow but also to depress the energy consumption. The numerical results are in good agreement with the theoretical analysis. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：278 / 288
页数：11
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