Car-following models: fifty years of linear stability analysis - a mathematical perspective

被引：246

作者：

Wilson, R. E. ^{[2
]}

Ward, J. A. ^{[1
,3
]}

机构：

[1] Univ Limerick, Dept Math, Limerick, Ireland

[2] Univ Bristol, Dept Engn Math, Bristol, Avon, England

[3] Univ Limerick, Dept Math, Limerick, Ireland

来源：

TRANSPORTATION PLANNING AND TECHNOLOGY | 2011年 / 34卷 / 01期

基金：

英国工程与自然科学研究理事会; 爱尔兰科学基金会;

关键词：

highway traffic modelling; car-following models; linear stability; CONGESTED TRAFFIC STATES;

D O I：

10.1080/03081060.2011.530826

中图分类号：

U [交通运输];

学科分类号：

08 ; 0823 ;

摘要：

A general framework for car-following models is developed and its linear stability properties are analysed. The concepts of uniform flow, platoon stability and string stability are introduced and criteria which test for them are developed. Finally, string instability is divided into absolute, convective upstream and convective downstream sub-classes, and a procedure is developed to distinguish between them.

引用

页码：3 / 18

页数：16

共 19 条

[1]

[Anonymous], 1999, ADV MATH METHODS SCI, DOI DOI 10.1007/978-1-4757-3069-2

[2]

[Anonymous], 1999, Transportation Research Part F: Traffic Psychology and Behaviour, DOI DOI 10.1016/S1369-8478(00)00005-X

[3] DYNAMICAL MODEL OF TRAFFIC CONGESTION AND NUMERICAL-SIMULATION [J].