84 citations · 228 across the 10 of their papers we have counts for
4 papers · 1 filter
Exact solution of a delay difference equation modeling traffic flow and their ultra-discrete limit
Keisuke Matsuya, Masahiro Kanai
We consider a car-following model described by a delay difference equation and give its exact solutions that present propagation of a traffic jam. This model is a discrete-time ver…
Two-lane traffic-flow model with an exact steady-state solution
Masahiro Kanai
We propose a stochastic cellular-automaton model for two-lane traffic flow based on the misanthrope process in one dimension. The misanthrope process is a stochastic process allowi…
Calibration of the Particle Density in Cellular-Automaton Models for Traffic Flow
Masahiro Kanai
We introduce density dependence of the cell size in cellular-automaton models for traffic flow, which allows a more precise correspondence between real-world phenomena and what obs…
Ultra-discrete Optimal Velocity Model: a Cellular-Automaton Model for Traffic Flow and Linear Instability of High-Flux Traffic
Masahiro Kanai, Shin Isojima, Katsuhiro Nishinari +1
In this paper, we propose the ultra-discrete optimal velocity model, a cellular-automaton model for traffic flow, by applying the ultra-discrete method for the optimal velocity mod…