Modeling and application analysis of car-following model with predictive headway variation

Jing Zhang, Bo Wang, Shubin Li, Tao Sun and Tao Wang

Physica A: Statistical Mechanics and its Applications, 2020, vol. 540, issue C

Abstract: This work proposes an improved microscopic model by taking the predictive driving behavior of the preceding car into account. Firstly, we use the linear method to investigate performance of the proposed model, deduce the critical linear stability conditions and obtain a neutral curve accounting for stability of the new model. Then, using the nonlinear analysis technique, we derive the equations of Burgers, the Korteweg–de Vries (KdV) and the modified KdV (mKdV), respectively, to describe the triangular shock wave, soliton density wave and the kink–antikink density wave. Finally, numerical experiments unfold from two aspects: one for verifying the theoretical analysis results and another for testing the impact of predictive driving behavior of the preceding car on traffic stability. Simulation results show that the new model can stabilize traffic flow compared with the FVD model and confirm that the existence of three kinds of density waves in different phase diagram regions.

Keywords: Traffic jam; Car-following model; Stability analysis; Predictive effect (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119317856
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:540:y:2020:i:c:s0378437119317856

DOI: 10.1016/j.physa.2019.123171

Access Statistics for this article

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

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().