84 citations · 228 across the 10 of their papers we have counts for
10 papers
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…
Realization of the open-boundary totally asymmetric simple exclusion process on a ring
Masahiro Kanai
We propose a misanthrope process, defined on a ring, which realizes the totally asymmetric simple exclusion process with open boundaries. In the misanthrope process, particles have…
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…
A stochastic optimal velocity model and its long-lived metastability
Masahiro Kanai, Katsuhiro Nishinari, Tetsuji Tokihiro
In this paper, we propose a stochastic cellular automaton model of traffic flow extending two exactly solvable stochastic models, i.e., the asymmetric simple exclusion process and…
Exact solution and asymptotic behaviour of the asymmetric simple exclusion process on a ring
Masahiro Kanai, Katsuhiro Nishinari, Tetsuji Tokihiro
In this paper, we study an exact solution of the asymmetric simple exclusion process on a periodic lattice of finite sites with two typical updates, i.e., random and parallel. Then…