差分方程模型在交通流计算中的应用研究

摘要

针对交通流计算中车道被占对道路通行能力的影响以及所导致的车辆排队长度等问题，本文给出了一种能快速计算车辆排队长度的数学模型，且以此可以分析不同车道被占对道路实际通行能力的影响。首先明确道路实际通行能力的定义，并将车道被占后的时间离散化，然后根据车辆流动数量关系建立车辆排队长度的差分方程计算模型。通过实际视频资料的验证，利用差分方程模型计算的结果能很好地与实际情况相吻合。该研究结果能用于车道被占后，为上游路口车辆放行数量与放行方向等交通信号控制提供预判依据。%In order to analyze the influence of an accident on the road capacity and calculate the vehicle queue length, a mathematic model was provided, which could quickly obtain the vehicle queue length. Firstly, the definition of the actual road capacity is made sure, and after the lane being occupied the time discretization is got, then a difference equation model was proposed based on the quantitative relation of the vehicle. The feasibility of the difference equation model is verified by actual video data. The results could be used to provide basis of predictions of the vehicles release quantity and orientation in the upstream intersection when the lanes are occupied.