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Understanding of spatiotemporal congestion patterns: A lattice model with predictive effect and density integral
International Journal of Modern Physics B ( IF 1.7 ) Pub Date : 2021-07-14 , DOI: 10.1142/s0217979221502064
Tao Wang 1 , Sainan Zhang 1 , Zhen Li 1 , Shubin Li 2 , Jing Yuan 1 , Jing Zhang 3
Affiliation  

To further enhance the adaptability of traffic model in actual traffic flow, this paper puts forward a lattice model with considering both the predictive effect and the continuous density of historical information. The critical stability condition is derived from linear stability analysis, and the phase diagram clearly shows that considering the predictive effect and the continuous historical density information is beneficial to reduce traffic congestion. Then, a mKdV equation is obtained by nonlinear analysis, which enable to depict the development process of blocked flow. Finally, the numerical simulation results are confirmed that the predictive effects and continuous historical density information have the ability to suppress traffic congestion.

中文翻译:

时空拥塞模式的理解:具有预测效应和密度积分的格模型

为进一步增强交通模型在实际交通流中的适应性,本文提出了一种兼顾预测效果和历史信息连续密度的格型模型。临界稳定性条件来源于线性稳定性分析,相图清楚地表明,考虑预测效果和连续的历史密度信息有利于减少交通拥堵。然后,通过非线性分析得到一个mKdV方程,可以描述阻塞流的发展过程。最后,数值模拟结果证实了预测效果和连续的历史密度信息具有抑制交通拥堵的能力。
更新日期:2021-07-14
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