A novel lattice hydrodynamic model considering the optimal estimation of flux difference effect on two-lane highway

The optimal estimation of flux difference effect is introduced to construct a new lattice hydrodynamic model for two-lane highway. Through linear stability analysis, it is found that the new consideration plays an important influence upon the stability of two-lane traffic flow. Moreover, the mKdV equation near the critical point is derived from nonlinear analysis, which describes the propagation behavior of traffic jam in two-lane traffic system. Simulation results show that the stability of two-lane traffic system can be increased and the emergence of traffic jams are effectively relieved by the optimal estimation of flux difference effect, which is in good agreement with theoretical analysis.