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An improved anisotropic continuum model considering the driver’s desire for steady driving

Fengxin Sun, Jufeng Wang and Rongjun Cheng

Physica A: Statistical Mechanics and its Applications, 2019, vol. 525, issue C, 1449-1462

Abstract: With the consideration of the driver’s desire for steady driving, an improved car-following model is developed by incorporating the difference between the steady and history headways into the full velocity difference model. And then by using the connection method of macro–micro variables, an improved anisotropic continuum model is derived from the improved car-following model. The stability analysis of the improved continuum model is discussed by the linear analysis method. Numerical simulations are carried out to investigate the improved anisotropic continuum traffic model, which explores how the driver’s desire for steady driving affected the shock waves, rarefaction waves, and the stabilities of velocity and density. Numerical results demonstrate that the continuum model presented herein can well describe the developments of shock waves and rarefaction waves, and considering the factor of driver’s desire for steady driving have a positive impact on the dynamic characteristic of macroscopic flow.

Keywords: Traffic flow; Anisotropic continuum model; Desire for steady driving; Difference of the steady and history headways (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:525:y:2019:i:c:p:1449-1462

DOI: 10.1016/j.physa.2019.03.081

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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