Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 396, Issue -, Pages 77-87Publisher
ELSEVIER
DOI: 10.1016/j.physa.2013.11.007
Keywords
Optimal velocity difference model; Reaction-time delay; Traffic flow; Numerical simulation
Categories
Funding
- National Natural Science Foundation of China [61134004, 11071284]
- Zhejiang Province National Science Foundation [LY12F02022, Y6110270]
- Zhejiang Province Educational Research Project [Y201328023]
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We investigate the effect of reaction-time delay of drivers upon traffic flow analytically and numerically. We extend the optimal velocity difference model by taking reaction-time delay of drivers into account. The stability condition is obtained. The Burgers, Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) equations are derived in the stable, metastable and unstable regions. The results show that the increase of reaction-time delay of drivers leads to the unrealistic traffic phenomena and unstable traffic flow. By adjusting the coefficient of the velocity and optimal velocity difference, the unrealistic traffic phenomena and unstable traffic flow can disappear. (C) 2013 Elsevier B.V. All rights reserved.
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