Abstract
A novel lattice hydrodynamic model is proposed based on the delayed effect of synergistic information transmission involving density and flux. The stability condition of the novel model is further analyzed theoretically via the linear analysis. Through nonlinear analysis, the modified Korteweg–de Vries (mKdV) equation near the critical point is obtained. The changing trends of density wave, flux and energy consumption are investigated when a small perturbation is intervened into the uniform traffic flow. The results show that the delayed effect of collaborative information transmission can effectively suppress traffic congestion, reduce energy consumption, and improve the stability of the traffic system. Theoretical analysis and simulation results verify the feasibility and validity of the delayed effect of collaborative information transmission on the improvement of traffic flow.
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