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TRAFFIC JAM DYNAMICS IN A CAR-FOLLOWING MODEL WITH REACTION-TIME DELAY AND STOCHASTICITY OF DRIVERS
 

Summary: TRAFFIC JAM DYNAMICS IN A CAR-FOLLOWING MODEL WITH
REACTION-TIME DELAY AND STOCHASTICITY OF DRIVERS
G´abor Orosz
, Bernd Krauskopf
, R Eddie Wilson

Mathematics Research Institute, University of Exeter,
Laver Building, North Park Road, Exeter, EX4 4QE, UK

Department of Engineering Mathematics, University of Bristol,
Queen's Building, University Walk, Bristol, BS8 1TR, UK
Abstract: We consider an optimal-velocity car-following model with reaction-time
delay of drivers, where the characteristics of the drivers change according to a
suitably calibrated random walk. In the absence of this stochasticity we find stable
and almost stable oscillations that correspond to stop-and-go traffic jams that
eventually merge or disperse. We study how the distribution of the merging times
depends on the parameters of the random walk. Our numerical simulations suggest
that the motion of the fronts into and out of traffic jams may be subject to a
`macroscopic' random walk. Copyright c 2006 IFAC
Keywords: optimal velocity model, reaction-time delay, stop-and-go waves,

  

Source: Awtar, Shorya - Department of Mechanical Engineering, University of Michigan

 

Collections: Engineering