Phase diagram 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 one of the extended optimal velocity model. The optimal velocity (OV) function is modified to have multi turning points. The original OV model with a single turning point exhibits two-phase traffic, while the model with turning points 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.