On Cellular Automata Models of Traffic Flow with Look-Ahead Potential

2012/09/26 by Cory Hauck, Yi Sun, Hauck, Cory +3
Mathematics · Physics and Astronomy · #Cellular Automata and Lattice Gases (nlin.CG) #FOS: Mathematics #FOS: Physical sciences #Probability (math.PR) #math.PR #nlin.CG

paper · pdf · doi:10.48550/arxiv.1209.5802

arxiv created 2012/09/26 · arxiv updated 2012/09/27

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.

Related

• On a class of new nonlocal traffic flow models with look-ahead rules
• Cellular Automata For Traffic Flow: Analytical Results
• Cellular automata approach to three-phase traffic theory
• Relating the dynamics of road traffic in a stochastic cellular automaton to a macroscopic first-order model
• A Comparison of a Cellular Automaton and a Macroscopic Model