Ryoichi Nagai

Complex Dynamic States in Multi‐phase Traffic Model

A multi‐phase traffic model is presented to take into account the complex motion of vehicles. The multi‐phase model is an extended one of the optimal velocity model. The optimal velocity (OV) function is modified to have multi stages. The original OV model with a single stage exhibits two phase traffic, while the model with n‐th stages displays n+1 phase traffic. The multiple phase transitions occur by varying the density. The phase transitions depend highly on the sensitivity (the inverse of delay time). The neutral stability line is obtained by using the linear stability analysis and is consistent with the jamming transition points. The phase diagrams are presented for the multiple jamming transitions.