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