LAUSR

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.