Abstract
In order to explore the potential impact of sloping road on traffic flow, an improved car-following model considering electronic throttle (ET) dynamics and driver’s driving characteristics on slope is proposed. Based on the improved car-following model, a new continuum model is established through the conversion relationship between microscopic variables and macroscopic variables. Firstly, the stability condition of the model is obtained by using the linear stability theory, after that the evolution process of traffic flow density wave near the neutral stability curve is studied by using the nonlinear analysis method, and we also get the improved KdV-Burgers equation. At the same time, numerical experiments and experimental verification of the model are carried out; the theoretical analysis and numerical results show that the ET effect and aggressive driving of drivers play an important role in alleviating traffic congestion to a certain extent.
Highlights
Nowadays, transportation has become an important part of people’s economic life and plays a crucial role in the development of society economy and the improvement of people’s life satisfaction
It can be concluded that, during downhill driving, radical driving can make shock wave and sparse wave smoother than timid driving, which is consistent with theoretical analysis. e impact of driver’s radical driving and electronic throttle angle on both traffic waves is a positive impact, which mainly manifests as shock wave
Based on the classical car-following traffic flow model, this paper studies the change rule of traffic flow on sloping roads and proposes a car-following model on sloping roads. e driver’s driving characteristics and the electronic throttle (ET) dynamics are introduced into the model. e new carfollowing model is transformed into a new continuum model by using the relationship between micro-variables and macro-variables. e stability condition of the new model is obtained by linear analysis theory; the KdV-Burgers equation solitary wave solutions for describing traffic flow change near the neutral stability curve are derived by using nonlinear analysis
Summary
Transportation has become an important part of people’s economic life and plays a crucial role in the development of society economy and the improvement of people’s life satisfaction. Most traffic flow scholars believe that the speed assumed in the LWR model is always the equilibrium speed, which cannot be used to simulate various non-equilibrium traffic phenomena, such as the stop-and-go traffic, etc To solve this problem, the researchers proposed a higher-order model. Erefore, a new extended continuum model is proposed in this paper, which considers both the driver’s driving characteristics and the “electronic throttle” effect on the slope. This paper analyzes the impact of driver’s aggressive driving and timid driving characteristics on traffic flow, establishes a new car-following model based on driver’s driving behavior in slope environment, and obtains a new extended continuum model through the transformation relationship between macrovariables and microvariables. A summary of the research contents in this paper is given
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