We study the freezing transition in the counter flow of pedestrians within the channel numerically and analytically. We present the mean-field approximation (MFA) model for the pedestrian counter flow. The model is described in terms of a couple of nonlinear difference equations. The...

We present the dynamical model of the multiple production lines composed of M parallel and u series machines. We extend the single-series production line model to the multiple production lines. We study the effect of the multiple lines on the dynamical behavior of the production process. We...

We present the stochastic model of the supply chain composed of u series machines and buffers. Each machine has an adaptation time (delay) different from the other and each buffer has a capacity of storage different from the other. We extend the deterministic supply chain model to the stochastic...

We study the traffic behavior in the facing and crossing traffic of pedestrians numerically and analytically. There are four kinds of walkers, those moving to east, to west, to north, and to south. We present the mean-field approximation (MFA) model for the four-directional traffic. The model is...