Abstract
We investigate the jammed states and phase transitions of traffic in the optimal velocity model with the optimal velocity function of multi-stage. The dynamic state of real traffic is too complex to explain with the conventional optimal velocity model. We use the multi-stage velocity function to take into account the real force on a car, and study the traffic state by use of numerical simulations. The neutral stability line and coexisting curve have some local maxima in phase diagram. The traffic states change by the complex jamming transition. We find that the traffic states have different characteristics from the conventional optimal velocity model.
