Showing math.PRShow all
2 papers · 1 filter
math.PR2012
On Cellular Automata Models of Traffic Flow with Look-Ahead Potential
Cory Hauck, Yi Sun, Ilya Timofeyev
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 lat…
math.PR2012
Pedestrian Flow Models with Slowdown Interactions
Alina Chertock, Alexander Kurganov, Anthony Polizzi +1
In this paper, we introduce and study one-dimensional models for the behavior of pedestrians in a narrow street or corridor. We begin at the microscopic level by formulating a stoc…