A novel lattice hydrodynamic model accounting for driver’s memory effect and the difference of optimal velocity on curved road

Qingying Wang, Rongjun Cheng and Hongxia Ge

Physica A: Statistical Mechanics and its Applications, 2020, vol. 559, issue C

Abstract: A novel lattice hydrodynamic model is put forward, which takes the effects of driver’s memory and difference of optimal velocity into account on curved road. Linear stability analysis for the novel model is discussed and the stability condition is deduced. Through nonlinear analysis, the mKdV equation is deduced to explore the evolution of jams near the vertex. The exact solution of the mKdV equation is also derived. The influence of the above two factors on traffic stability are investigated by numerical examples. Both numerical and analytical results demonstrate that memory effect and the difference of optimal velocity on curved road can ease traffic jams efficiently.

Keywords: Traffic flow; Lattice hydrodynamic; Curved road; Driver’s memory effect; The difference of optimal velocity (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437120305331
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:559:y:2020:i:c:s0378437120305331

DOI: 10.1016/j.physa.2020.125023

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 ().