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Analysis of an extended two-lane lattice hydrodynamic model considering mixed traffic flow and self-stabilization effect

Ting Wang (Faculty of Maritime and Transportation, Ningbo University, Ningbo, China)
Rongjun Cheng (Faculty of Maritime and Transportation, Ningbo University, Ningbo, China)
Hongxia Ge (Faculty of Maritime and Transportation, Ningbo University, Ningbo, China)

Engineering Computations

ISSN: 0264-4401

Article publication date: 1 June 2020

Issue publication date: 27 January 2021

193

Abstract

Purpose

The purpose of this paper is to explore the impact of the mixed traffic flow, self-stabilization effect and the lane changing behavior on traffic flow stability.

Design/methodology/approach

An extended two-lane lattice hydrodynamic model considering mixed traffic flow and self-stabilization effect is proposed in this paper. Through linear analysis, the stability conditions of the extended model are derived. Then, the nonlinear analysis of the model is carried out by using the perturbation theory, the modified Kortweg–de Vries equation of the density of the blocking area is derived and the kink–antikink solution about the density is obtained. Furthermore, the results of theoretical analysis are verified by numerical simulation.

Findings

The results of numerical simulation show that the increase of the proportion of vehicles with larger maximum speed or larger safe headway in the mix flow are not conducive to the stability of traffic flow, while the self-stabilization effect and lane changing behavior is positive to the alleviation of traffic congestion.

Research limitations/implications

This paper does not take into account the factors such as curve and slope in the actual road environment, 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.

Originality/value

The existing two-lane lattice hydrodynamic models are rarely discussed in the case of mixed traffic flow. The improved model proposed in this paper can better reflect the actual traffic, which can also provide a theoretical reference for the actual traffic governance.

Keywords

Acknowledgements

This work is supported by the Project 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.

Citation

Wang, T., Cheng, R. and Ge, H. (2021), "Analysis of an extended two-lane lattice hydrodynamic model considering mixed traffic flow and self-stabilization effect", Engineering Computations, Vol. 38 No. 1, pp. 58-82. https://doi.org/10.1108/EC-03-2020-0149

Publisher

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Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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