2011/07/29 by Nadir Farhi, Farhi, Nadir
Engineering · Social Sciences · #Traffic control and management #Transportation Planning and Optimization #Autonomous Vehicle Technology and Safety
paper · pdf · doi:10.48550/arxiv.1107.5869
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.