On Cellular Automata Models of Traffic Flow with Look-Ahead Potential
Probability
2012-09-27 v1 Cellular Automata and Lattice Gases
Abstract
We study the statistical properties of a cellular automata model of traffic flow with the look-ahead potential. The model defines stochastic rules for the movement of cars on a lattice. We analyze the underlying statistical assumptions needed for the derivation of the coarse-grained model and demonstrate that it is possible to relax some of them to obtain an improved coarse-grained ODE model. We also demonstrate that spatial correlations play a crucial role in the presence of the look-ahead potential and propose a simple empirical correction to account for the spatial dependence between neighboring cells.
Keywords
Cite
@article{arxiv.1209.5802,
title = {On Cellular Automata Models of Traffic Flow with Look-Ahead Potential},
author = {Cory Hauck and Yi Sun and Ilya Timofeyev},
journal= {arXiv preprint arXiv:1209.5802},
year = {2012}
}