Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 503, Issue -, Pages 1204-1211Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2018.08.072
Keywords
Traffic flow; Lattice hydrodynamic model; Historical current integration effect
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Funding
- Key Laboratory of Intelligent Transportation System in Guangxi Universities, China [C77KYS01J203]
- Natural Science Foundation of China [61572146, U1501252]
- Fundamental Research Funds for the Central Universities, China [XDJK2017C025]
- National Natural Science Foundation of China [61803113]
- Guangxi Natural Science Foundation [2017JJA170693y]
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A new traffic lattice hydrodynamic model with consideration of historical current integration effect is proposed in this paper and the influence of current integration effect on traffic flow is studied through linear and nonlinear analyses. The linear stability condition obtained by linear analysis reveals that the traffic stability can be enhanced by considering the impact of historical current integration effect. Also the nonlinear analysis shows that the traffic density wave in the unstable region near the critical point can be described by the kink-antikink solution of the mKdV equation. Finally, numerical simulation is carried out to verify the analytical results and it is proved that the historical current integration effect can improve the stability of traffic flow importantly. (C) 2018 Elsevier B.V. All rights reserved.
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