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Zhang, Geng; Peng, Guang-Han

Research on the stabilization effect of continuous self-delayed traffic flux in macro traffic modeling. (English) Zbl 07566447

Physica A 526, Article ID 121012, 7 p. (2019).
Summary: 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.

Cited in 3 Documents

MSC:

82-XX Statistical mechanics, structure of matter

Keywords:

lattice hydrodynamic model; continuous self-delayed traffic flux; traffic stability
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Full Text: DOI

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