The purpose of this paper is to explore how curved road and lane-changing rates affect the stability of traffic flow.
An extended two-lane lattice hydrodynamic model on a curved road accounting for the empirical lane-changing rate is presented. The linear analysis of the new model is discussed, the stability condition and the neutral stability condition are obtained. Also, the mKdV equation and its solution are proposed through nonlinear analysis, which discusses the stability of the extended model in the unstable region. Furthermore, the results of theoretical analysis are verified by numerical simulation.
The empirical lane-changing rate on a curved road is an important factor, which can alleviate traffic congestion.
This paper does not take into account the factors such as slope, the drivers’ characters and so on in the actual traffic, which will have more or less influence on the stability of traffic flow, so there is still a certain gap with the real traffic environment.
The curved road and empirical lane-changing rate are researched simultaneously in a two-lane lattice hydrodynamic models in this paper. The improved model can better reflect the actual traffic, which can also provide a theoretical reference for the actual traffic governance.
This work is supported by the Program of Humanities and Social Science of Education Ministry of China (Grant No. 20YJA630008) and the Natural Science Foundation of Zhejiang Province, China (Grant No. LY20G010004) and the National Key Research and Development Program of China-Traffic Modeling, Surveillance and Control with Connected & Automated Vehicles (Grant No. 2017YFE9134700) and the K.C. Wong Magna Fund in Ningbo University, China.
Wang, Q., Cheng, R. and Ge, H. (2021), "A new two-lane lattice hydrodynamic model on a curved road accounting for the empirical lane-changing rate", Engineering Computations, Vol. 38 No. 4, pp. 1532-1553. https://doi.org/10.1108/EC-04-2020-0230
Emerald Publishing Limited
Copyright © 2020, Emerald Publishing Limited