The “backward looking” effect in the lattice hydrodynamic model

Hong-Xia Ge and Rong-Jun Cheng

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 28, 6952-6958

Abstract: 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.

Keywords: Traffic flow; Lattice hydrodynamic model; Stabilization (search for similar items in EconPapers)
Date: 2008
References: View complete reference list from CitEc
Citations: View citations in EconPapers (21)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:28:p:6952-6958

DOI: 10.1016/j.physa.2008.05.060

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