Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 389, Issue 13, Pages 2607-2616Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2010.03.009
Keywords
Optimal velocity model; Reaction-time delay; Traffic flow; Density wave; Numerical simulations
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Funding
- Doctorate Foundation of Northwestern Polytechnical University [CX200711]
- Aoxiang Project and Scientific and Technological Innovation Foundation of Northwestern Polytechnical University
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Density waves are investigated analytically and numerically in the optimal velocity model with reaction-time delay of drivers. The stability condition of this model is obtained by using the linear stability theory. The results show that the decrease of reaction-time delay of drivers leads to the stabilization of traffic flow. The Burgers, Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) equations are derived to describe the density waves in the stable, metastable and unstable regions respectively. The triangular shock waves, soliton waves and kink-antikink waves appearing respectively in the three distinct regions are derived to describe the traffic jams. The numerical simulations are given. (C) 2010 Elsevier B.V. All rights reserved.
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