Multi-Anticipative Average Flux Effect in the Lattice Hydrodynamic Model

The modeling of traffic dynamics under intelligent transportation system (for short, ITS) is an important and interesting topic in traffic flow theory. In this paper, a novel lattice hydrodynamic model is presented to describe dynamic features of traffic flow with consideration of multi-anticipative average flux effect under ITS environment. The corresponding stability condition is obtained by using the linear stability analysis theory. The analytical results show that the stable region can be significantly widened on the phase diagram when the multi-anticipative average flux effect is considered, and the anticipating average flux information of more sites ahead can further lead to the stability of traffic flow. The mKdV equation near the critical point during the nonlinear analysis is derived to describe the evolution properties of traffic density waves by applying the reductive perturbation method. Numerical simulation results are consistent with the theoretical results, which further confirm that the traffic jam can be effectively alleviated by taking into account multi-anticipative average flux effect in the traffic system.