Piecewise linear car-following modeling

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Dec 2012Embargo end date: 01 Jul 2011 France English Publisher:Elsevier BVJournal:Transportation Research Part C: Emerging Technologies, volume 25, pages 100-112 (issn: 0968-090X,

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Authors: Farhi, Nadir;

doi: 10.1016/j.trc.2012.05.005 , 10.48550/arxiv.1107.5869

arXiv: 1107.5869

Piecewise linear car-following modeling

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Abstract

We present a traffic model that extends the linear car-following model as well as the min-plus traffic model (a model based on the min-plus algebra). A discrete-time car-dynamics describing the traffic on a 1-lane road without passing is interpreted as a dynamic programming equation of a stochastic optimal control problem of a Markov chain. This variational formulation permits to characterize the stability of the car-dynamics and to calculte the stationary regimes when they exist. The model is based on a piecewise linear approximation of the fundamental traffic diagram.

19 pages, 3 figures

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France

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Keywords

Optimization and Control (math.OC), TRAFIC ROUTIER, FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, [INFO.INFO-MO] Computer Science [cs]/Modeling and Simulation, Systems and Control (eess.SY), MODELISATION, Mathematics - Optimization and Control, Electrical Engineering and Systems Science - Systems and Control

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