A new lattice model integrating the flux limit effect under V2X environment

Based on limiting flux problem of urban transportation, a new lattice model is constructed to restrain traffic jams by considering the flux limit effect under V2X environment. Also, traffic stability condition involving feedback gain of flux limit is obtained by applying the control theory. Moreover, numerical simulation is executed for the early time effect, the long-time effect, and the hysteresis loop to investigate the flux limit effect. It is found that the flux limit effect improves traffic system whether early time or long time and effectively curbs traffic congestions.