84 citations · 184 across the 6 of their papers we have counts for
6 papers
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…
Analytical study on the criticality of the Stochastic Optimal Velocity model
Masahiro Kanai, Katsuhiro Nishinari, Tetsuji Tokihiro
In recent works, we have proposed a stochastic cellular automaton model of traffic flow connecting two exactly solvable stochastic processes, i.e., the Asymmetric Simple Exclusion…
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…
Ultradiscretization of the solution of periodic Toda equation
Shinsuke Iwao, Tetsuji Tokihiro
A periodic box-ball system (pBBS) is obtained by ultradiscretizing the periodic discrete Toda equation (pd Toda eq.). We show the relation between a Young diagram of the pBBS and a…
On the initial value problem of a periodic box-ball system
Jun Mada, Makoto Idzumi, Tetsuji Tokihiro
We show that the initial value problem of a periodic box-ball system can be solved in an elementary way using simple combinatorial methods.