A new public conveyance model applicable to buses and trains is proposed in this paper by using stochastic cellular automaton. We have found the optimal density of vehicles, at which the average velocity becomes maximum, significantly depends on the number of stops and passengers behavior of...

We present a partially asymmetric exclusion model with two species. It consists of a one-dimensional lattice with two types of particles hopping with different rates in both directions. Exact solutions are given for some values of the parameters. A phase diagram is constructed. The model is...