Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 387, Issue 28, Pages 6952-6958Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2008.05.060
Keywords
Traffic flow; Lattice hydrodynamic model; Stabilization
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Funding
- National Basic Research Program of China [2006CB705500]
- National Natural Science Foundation of China [10532060, 10602025]
- Scientific Research Fund of Zhejiang Provincial Education Department [20061634]
- Natural Science Foundation of Ningbo [2007A610050]
- Ningbo University
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The novel lattice hydrodynamic model is presented by incorporating the backward looking effect. The stability condition for the the model is obtained using the linear stability theory. The result shows that considering one following site in vehicle motion leads to the stabilization of the system compared with the original lattice hydrodynamic model and the cooperative driving lattice hydrodynamic model. The Korteweg-de Vries (KdV, for short) equation near the neutral stability line is derived by using the reductive perturbation method to show the traffic jam which is proved to be described by KdV soliton solution obtained from the KdV equation. The simulation result is consistent with the nonlinear analysis. (C) 2008 Published by Elsevier B.V.
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