STABILITY ANALYSIS FOR TRAFFIC FLOW WITH PERTURBATIONS
Tie-Qiao Tang (),
Hai-Jun Huang (),
Ying Zhang and
Xiang-Yang Xu
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Tie-Qiao Tang: School of Transportation Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China;
Ying Zhang: School of Economics and Management, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China
Xiang-Yang Xu: School of Transportation Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China
International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 09, 1367-1375
Abstract:
In this paper, we use the speed-gradient model proposed by Jianget al.[Transp. Res. B36, 405 (2002)] to study the effects that various perturbations have on the stability of traffic flow. Our numerical tests show that the effects of perturbations on the stability of traffic flow are related to the initial density, i.e., when the initial density is very low(ρ0≤ 0.02)or very high(ρ0> 0.08), any perturbation has little effect on the stability of traffic flow; when the initial density is relatively low(0.02
Keywords: Traffic flow; perturbations; stability; 89.40-a; -45.70.vn; -05.70.Fh (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0129183108012947
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