路段与交叉口通行能力限制的动态用户最优配流模型研究

Dynamic User Optimal Assignment Model with the Capacity of Link and Intersection

首先分析了离散化条件下的动态交通模型中的路段与交叉口通行能力限制下的约束条件。然后,在满足Wardrop第一原理要求下提出了基于瞬时路段与交叉口阻抗的动态用户最优配流的变分不等式模型。最后用修正的投影算法计算出每个时间段的路段流量和路段与交叉口的流入率、流出率,以及路段滞留车辆数,并为驾驶员提供可靠的动态信息。数值实验反映了本模型与算法的有效性与可实施性。

Firstly, this paper analyzes the constraints of the link and the intersection traffic ca- pacity of the dynamic traffic model under the condition of discretization. Then, based on instantaneous links and intersections impedance, dynamic user optimal assignment variational inequality model is pro- posed which satisfies Wardrop＇ s first principle. Finally, using the modified projection algorithm, calcu- late each time the traffic flow and linkand the intersection of inflow rates, outflow rate and section number of stranded vehicles, and provide reliable dynamic information for the driver. The numerical experiments in this paper show that the model and algorithm are effective and can be implemented.