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A time-discrete harmonic oscillator model of human car-following

Wagner, Peter (2011) A time-discrete harmonic oscillator model of human car-following. European Physical Journal B - Condensed Matter. Springer. doi: 10.1140/epjb/e2011-20722-8.

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Official URL: http://dx.doi.org/10.1140/epjb/e2011-20722-8


A time-discrete stochastic harmonic oscillator is presented as a model of human car-following behaviour. This describes especially the non-continuous control of a human driver – acceleration changes from time to time at so called action-points and is kept constant in between. Analytical results can be derived which allow to classify the different types of motion possible within this approach. These results show that with weaker control by the human, unstable behaviour of the oscillator becomes more likely. This is in line with common understanding about the causes of accidents. Finally, since even the stochastic behaviour of this model is in parts analytically tractable, the width of the speed-difference and distance fluctuations can be expressed as function of the model’s parameter. This allows a fresh view on empirical car-following data and the identification of parameters from real data in the context of the theory presented here.

Item URL in elib:https://elib.dlr.de/72220/
Document Type:Article
Title:A time-discrete harmonic oscillator model of human car-following
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Wagner, Peterpeter.wagner (at) dlr.deUNSPECIFIED
Date:December 2011
Journal or Publication Title:European Physical Journal B - Condensed Matter
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
DOI :10.1140/epjb/e2011-20722-8
Keywords:human driver model, car following model, action-points
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Transport
HGF - Program Themes:Traffic Management (old)
DLR - Research area:Transport
DLR - Program:V VM - Verkehrsmanagement
DLR - Research theme (Project):V - Verkehrs- und Mobilitätsmanagement (old)
Location: Berlin-Adlershof
Institutes and Institutions:Institute of Transportation Systems > Traffic Management
Deposited By: Wagner, Dr. Peter
Deposited On:06 Dec 2011 11:54
Last Modified:30 May 2019 22:05

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