期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 501, 期 -, 页码 293-307出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2018.02.179
关键词
General car-following model; Stability; Nonlinear analyses; Traffic congestion; Solitary wave
资金
- National Natural Science Foundation of China [61573075]
- National Key R&D Program, China [2016YFB0100904]
- Natural Science Foundation of Chongqing, China [cstc2017jcyjBX0001]
- China Post Doctoral Science Foundation [2014T70852]
- Post-doctoral Research Funds of Chongqing, China [XM201305]
In this paper, the general nonlinear car-following model with multi-time delays is investigated in order to describe the reactions of vehicle to driving behavior. Platoon stability and string stability criteria are obtained for the general nonlinear car-following model. Burgers equation and Korteweg de Vries (KdV) equation and their solitary wave solutions are derived adopting the reductive perturbation method. We investigate the properties of typical optimal velocity model using both analytic and numerical methods, which estimates the impact of delays about the evolution of traffic congestion. The numerical results show that time delays in sensing relative movement is more sensitive to the stability of traffic flow than time delays in sensing host motion. (C) 2018 Elsevier B.V. All rights reserved.
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