OPTIMAL VELOCITY MODEL WITH RELATIVE VELOCITY

Shiro Sawada ()
Additional contact information
Shiro Sawada: Department of Telecommunications, Takuma National College of Technology, Mitoyo, Kagawa 769-1192, Japan

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 01, 65-73

Abstract: The optimal velocity model which depends not only on the headway but also on the relative velocity is analyzed in detail. We investigate the effect of considering the relative velocity based on the linear and nonlinear analysis of the model. The linear stability analysis shows that the improvement in the stability of the traffic flow is obtained by taking into account the relative velocity. From the nonlinear analysis, the relative velocity dependence of the propagating kink solution for traffic jam is obtained. The relation between the headway and the velocity and the fundamental diagram are examined by numerical simulation. We find that the results by the linear and nonlinear analysis of the model are in good agreement with the numerical results.

Keywords: Traffic flow; optimal velocity model; relative velocity; numerical simulation; 45.70.Vn; 89.40.-a; 02.60.Cb; 05.70.Fh (search for similar items in EconPapers)
Date: 2006
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183106009084
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:17:y:2006:i:01:n:s0129183106009084

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183106009084

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().