基于上游到达交通量的余弦函数路段车速-流量关系模型

针对格林希尔茨速度-流量模型变型获得的路段路阻模型中存在当速度为零时研究断面流量反而最大的问题,采用上游到达的车流量代替研究路段或断面的车流量,建立新的关于上游到达车流量-速度的余弦函数路阻模型。分析在不同畅行速度、不同流量的情况下模型的稳定性与实用性。仿真结果表明:余弦函数路段车速-流量路阻模型明显优于格林希尔茨理论,能够更好地解释数据。此外,与美国公路局(bureau of public roads,BPR)模型相比,余弦函数路段延误模型的计算精度得到进一步提高,后者的计算结果与实测数据之间相关性提高了0.450。

Cosine Function speed-flow relationship Model for Road Segment Based on Upstream Arrival Traffic Flow

Aiming at the shortcoming in the modified Greensheilds theory that when the speed tend to zero, traffic flow tend to maximum, the cosine function delay model of flow-speed relationships for road segment are established by introducing upstream arrival traffic flow. Stability and practical of the model under condition of different speeds and flow rate were analyzed. Simulation results show that the cosine function speed-flow model for road segment significantly outperform the Greensheilds theory, and can better interpret the data. Furthermore, the computational accuracy of the cosine function speed-flow model is further improved by compared with BPR functions, and correlation between calculated result and surveying data is increased by 0.450.