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.

中文翻译：

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考虑混合交通流量和自稳定效应的扩展两车道格流体力学模型分析

目的

本文旨在探讨混合交通流，自稳定效应和变道行为对交通流稳定性的影响。

设计/方法/方法

提出了一种考虑混合交通流量和自稳定效应的扩展两车道格子水动力模型。通过线性分析，得出了扩展模型的稳定性条件。然后，利用微扰理论对模型进行非线性分析，推导了改进的阻塞区域密度的Kortweg-de Vries方程，并获得了关于密度的扭结-抗扭解。此外，通过数值模拟验证了理论分析的结果。

发现

数值模拟结果表明，混合流中最大速度较大或安全车距较大的车辆所占比例的增加不利于交通流量的稳定，而自稳定效果和换道行为对车辆的通行性是积极的。缓解交通拥堵。

研究局限/意义

本文没有考虑实际道路环境中的曲线和坡度等因素，这些因素或多或少会影响交通流的稳定性，因此与实际交通环境仍然存在一定差距。

创意/价值

在混合交通流的情况下，很少讨论现有的两车道格流体力学模型。本文提出的改进模型可以更好地反映实际交通状况，也可以为实际交通治理提供理论参考。