Multijam Solutions in Traffic Models with Velocity-Dependent Driver Strategies

Paul Carter, Peter Leth Christiansen, Yuri B. Gaididei, Carlos Gorria, Björn Sandstede, Mads Peter Sørensen, Jens Starke

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

The optimal-velocity follow-the-leader model is augmented with an equation that allows each driver to adjust their target headway according to the velocity difference between the driver and the car in front. In this more detailed model, which is investigated on a ring, stable and unstable multipulse or multijam solutions emerge. Analytical investigations using truncated Fourier analysis are confirmed and complemented by a detailed numerical bifurcation analysis. In addition to standard rotating waves, time-modulated waves are found.
Original languageEnglish
JournalS I A M Journal on Applied Mathematics
Volume74
Issue number6
Pages (from-to)1895-1918
ISSN0036-1399
DOIs
Publication statusPublished - 2014

Keywords

  • Traffic modeling
  • Traveling waves
  • Stability of traffic jams
  • Multipulse solutions
  • Optimal velocity model
  • Numerical bifurcation analysis

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