TITLE:
Generalized Anticipation Effect Models for Traffic Flow
AUTHORS:
Liuhua Zhu
KEYWORDS:
Traffic Flow, Cellular Automaton, Discrete Model, Anticipation Effect, Meta-Stable State
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.3,
February
27,
2020
ABSTRACT: Taking into account the startup behaviour of following vehicles in the waiting area of urban traffic signal, we propose an extended Nagel-Schreckenberg model for single-lane traffic flow, in which the dynamic behavior of each vehicle depends on not only its own headway but also the headway of the immediately preceding one. The numerical simulation of the present model reproduces some complicated nonlinear phenomena observed in real traffic such as free flow, ghostly blockage, synchronized flow and so on. For specific parameter combinations the flow-density relation of this model shows two meta-stable branches near the transition density from free flow to wide moving traffic jam. Finally, the analytical results of the model under some specific parameters are given by using the mean field theory.