Si Zehua, Hossain Md Anowar, Tanimoto Jun
Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Kasuga-koen, Kasuga-shi, Fukuoka, 816-8580, Japan.
Kyushu University, Kasuga-koen, Kasuga-shi, Fukuoka, 816-8580, Japan.
Heliyon. 2023 May 29;9(6):e16731. doi: 10.1016/j.heliyon.2023.e16731. eCollection 2023 Jun.
This study aims to develop a traffic model for heterogeneous vehicle movement, which introduces the vehicle's heterogeneity by considering the internal mass effect. We explore the behavioral characteristics of the flow field generated by the proposed model and provide a comparative analysis of the conventional model. A linear stability condition is deduced to showcase the model's capacity to neutralize flow. Nonlinear analysis is employed to derive the modified Korteweg-de Vries (mKdV) equation and its corresponding analytical solution, enabling the observation of traffic flow behavior in proximity to the neutral stability condition. A numerical simulation is then conducted, considering cyclic boundary conditions. The results indicate that the mass effect tends to absorb traffic jams provided no time delay is imposed.
本研究旨在开发一种用于异质车辆运动的交通模型，该模型通过考虑内部质量效应来引入车辆的异质性。我们探索了所提出模型产生的流场的行为特征，并对传统模型进行了对比分析。推导了线性稳定性条件以展示该模型消除车流的能力。采用非线性分析来推导修正的科特韦格 - 德弗里斯（mKdV）方程及其相应的解析解，从而能够观察接近中性稳定条件下的交通流行为。然后考虑循环边界条件进行了数值模拟。结果表明，在不施加时间延迟的情况下，质量效应倾向于消除交通拥堵。
