Abstract
On the basis of full velocity difference model (FVDM), an extended car-following model is proposed to account for the effect of driver’s memory and backward looking effect in this paper. The stability conditions of the new model are derived by applying the linear stability analysis. The time-dependent Ginzburg–Lan (TDGL) equation and the modified Korteweg–de Vries (mKdV) equation are derived through nonlinear theory. Moreover, the relationship between the two equations is studied. Numerical simulations show that the stability of traffic flows can be strengthened with the effect of driver’s memory and backward looking effect.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Physica A: Statistical Mechanics and its Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
