Mean-field velocity difference model considering the average effect of multi-vehicle interaction

被引：22

作者：

Guo, Yan ^{[1
]}

Xue, Yu ^{[1
,2
]}

Shi, Yin ^{[1
]}

Wei, Fang-ping ^{[1
]}

Lu, Liang-zhong ^{[2
]}

He, Hong-di ^{[3
]}

机构：

[1] Guangxi Univ, Inst Phys Sci & Engn, Nanning 53004, Peoples R China

[2] KeyLab Relativist Astrophys, Nanning 530004, Guangxi, Peoples R China

[3] Shanghai Maritime Univ, Logist Res Ctr, Shanghai 200135, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2018年 / 59卷

基金：

中国国家自然科学基金;

关键词：

Optimal-velocity model; Stability condition; Traffic jamming; Traffic hysteresis; DELAYED-FEEDBACK CONTROL; CAR-FOLLOWING MODEL; TRAFFIC FLOW; CONGESTION; STABILITY;

D O I：

10.1016/j.cnsns.2017.11.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a mean-field velocity difference model(MFVD) is proposed to describe the average effect of multi-vehicle interactions on the whole road. By stability analysis, the stability condition of traffic system is obtained. Comparison with stability of full velocity-difference (FVD) model and the completeness of MFVD model are discussed. The mKdV equation is derived from MFVD model through nonlinear analysis to reveal the traffic jams in the form of the kink-antikink density wave. Then the numerical simulation is performed and the results illustrate that the average effect of multi-vehicle interactions plays an important role in effectively suppressing traffic jam. The increase strength of the mean-field velocity difference in MFVD model can rapidly reduce traffic jam and enhance the stability of traffic system. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：553 / 564

页数：12

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