Several real-time feedback tactics have been presented and applied for traffic dynamics, such as historical density information, historic flux information, etc. Moreover, complex uncertainties such as equipment malfunctions, network fluctuations, driver personalities, and traffic disruptions may affect traffic information. Therefore, this article is devoted to reflecting better the reality of traffic situations in the transportation system by considering uncertainty about historical information of density (UHDI) based on the lattice approach. The UHDI effect is probed using linear stability analysis and nonlinear stability analysis. The instability is found with an increased value of the UHDI coefficient. The modified Korteweg-de-Vries equation is obtained to describe the characteristics of traffic congestion. Finally, numerical simulations are implemented to analyze the results of theoretical findings. The numerical and hypothetical results show that the UHDI factor significantly affects traffic flow.

已经提出并应用于交通动态的几种实时反馈策略，例如历史密度信息、历史流量信息等。此外，设备故障、网络波动、驾驶员个性和交通中断等复杂的不确定性可能会影响交通信息。因此，本文致力于基于格子方法考虑密度历史信息（UHDI）的不确定性，更好地反映交通系统中的现实交通状况。使用线性稳定性分析和非线性稳定性分析来探讨 UHDI 效应。随着 UHDI 系数值的增加，发现了不稳定性。得到修正的Korteweg-de-Vries方程来描述交通拥堵的特征。最后，进行数值模拟来分析理论研究结果。数值和假设结果表明，UHDI 因素显着影响交通流量。