混合交通流连续动力学建模

Mixed Traffic Continuum Dynamic Modelling

对现有的交通流动力学模型进行了简单的评价,在此基础上提出一种新的高阶混合交通流动力学模型,新模型重点研究了混合交通中的干扰项,用粘性项来计算交通阻力,然后对建立的交通流动力模型在特征根问题(车流应是各向异性)、负速度问题(车流倒退)和线性稳定性(主要指高密度下的车流稳定性)问题进行了理论分析。理论分析结果表明,新的高阶交通流动力学模型有效解决了困扰大多数高阶非平衡连续流模型难以处理的问题,而且新模型充分考虑了混合车流中不同车型比例车辆间的粘性阻力,相比较其他模型更能准确反映非纯小车流情况下的交通真实情况。

Through assessing the existing traffic flow dynamics models, the new advanced continuum model for describing mixed traffic dynamics at freeway flows was proposed. Traffic friction was addressed through the use of a viscosity term which resembles the calculation of the fluid disturbance in fluid mechanics. Then properties of the new model were analyzed, the results prove that these problems such as gas-like behavior, ＂wrong-way travel＂ and linear instability which plague other higher-order continuum models do not exist in the new anisotropic non- equilibrium model, moreover, the viscosity in the mixed traffic was taken into account. The new model can better reflect the real situations in the mixed traffic than others.