论文标题
随着车道变化的流量流量微观模型的稳定性分析
Stability analysis of microscopic models for traffic flow with lane changing
论文作者
论文摘要
本文研究了微观量表中多车道流量的数学建模和稳定性，研究了一个基于两个相互作用项的模型。为此，我们提出了简单的车道变化条件，我们研究了一个车道情况下从模型开始的稳态稳定性，并将结果扩展到通用多车道案例，并仔细设计了车道更改规则。我们将结果与数值测试进行了比较，以确认线性稳定性分析的预测，并表明该模型能够重现停止和GO Waves，这是交通拥堵的典型特征。
This paper investigates the mathematical modeling and the stability of multi-lane traffic in the microscopic scale, studying a model based on two interaction terms. To do this we propose simple lane changing conditions and we study the stability of the steady states starting from the model in the one-lane case and extending the results to the generic multi-lane case with the careful design of the lane changing rules. We compare the results with numerical tests, that confirm the predictions of the linear stability analysis and also show that the model is able to reproduce stop & go waves, a typical feature of congested traffic.
