Research on the stabilization effect of continuous self-delayed traffic flux in macro traffic modeling

Geng Zhang and Guang-Han Peng

Physica A: Statistical Mechanics and its Applications, 2019, vol. 526, issue C

Abstract: A modified macro traffic lattice hydrodynamic model is proposed by considering the continuous self-delayed traffic flux information on traffic stability. Via linear stability theory, the influence of the continuous self-delayed traffic flux on traffic stability is derived. It reveals that the stable region in the density-sensitivity space can be enlarged by taking the continuous self-delayed traffic flux into account. Furthermore, the nonlinear feature of density wave in the unstable region is studied and it is consistent with the kink-antikink solution of the mKdV equation. Also numerical simulation is conducted to further verify the analytical results and it is shown that the continuous self-delayed traffic flux information can improve the stable level of traffic flow significantly.

Keywords: Lattice hydrodynamic model; Continuous self-delayed traffic flux; Traffic stability (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119306211

DOI: 10.1016/j.physa.2019.04.248

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