The study for continuum model considering traffic jerk effect

Abstract

Based on the optimal velocity model, a new continuum model considering traffic jerk effect is presented in this paper. Then, the critical condition for the steady traffic flow is deduced. Near the neutral stability line, nonlinear analysis is taken to derive the KdVBurgers equation for describing the density wave, and one of the solutions is given. Numerical simulation is carried out to study the influence about the traffic jerk effect.

Integrated-Hybrid Framework for Connected and Autonomous Vehicles Microscopic Traffic Flow Modelling

“…Up to now, an enormous number of classical traffic models for human driving vehicles have been proposed through two categories (i.e., microscopic and macroscopic) to explore empirical traffic phenomena in different levels of details required for network analysis. In particular, the Lighthill-Whitham-Richards (LWR) model [30,31] and related continuum macroscopic traffic flow models [32][33][34][35][36][37][38]), as well as car following models [39][40][41][42][43], were firstly introduced by Pipes [44] in microscopic traffic flow model. Among all presented classical models, some car-following models such as desired measure, safety distance, and optimal velocity models have been modified and developed to describe traffic flow for CA vehicles.…”

An extended car-following model accounting for the honk effect and numerical tests

“…In order to understand the mechanism and characteristics of the complex phenomena in traffic flow, many traffic models have been proposed, including macroscopic models (e.g., hydrodynamic models [9][10][11][12][13]) in which traffic flow is viewed as a compressible fluid formed by vehicles, and microscopic models (e.g., cellular automaton models [14][15][16][17][18] and carfollowing models [19][20][21][22][23][24]) where an individual vehicle is conceived to be a particle and the vehicle traffic is regarded as a system of interacting particles driven far from equilibrium. Since the car-following models can be easily implemented for numerical investigation and theoretical analysis, they have been widely applied to describe the driver's individual behavior.…”