Modeling, Simulation and Observations for Freeway Traffic and Pedestrian

We perform the simulations of Optimal Velocity Model with a bottleneck and investigate the new aspects of this model under such boundary conditions for the purpose of providing the interesting possibility of mathematical understanding of “synchronized flow”, and compare our results with the observation. We also give the short review of extending OV model in 2-dimensional space for applying the several kinds of phenomena of collective behaviors, such as granular flow and pedestrian dynamics.