基于进出口匝道流量的高速公路OD矩阵

Freeway OD matrices estimation with on/off ramps traffic counts

分析了高速公路进出口匝道的交通流量特征及其与OD矩阵的关系,建立了高速公路进出口匝道交通量关系模型,生成了高速公路匝道系统的状态空间模型,分析了OD矩阵自身的特点,得到OD矩阵的约束关系,对常规的卡尔曼滤波方法进行了约束条件修正,从而形成了约束卡尔曼滤波递推方法。通过模拟数据的计算分析,约束卡尔曼滤波递推方法的性能与卡尔曼滤波递推方法相比有了很大的提高,能够较好地对高速公路上的时变OD矩阵进行跟踪,求解结果满足现代高速公路控制的需要。

This paper analyzed the relationship between OD matrices and on/off ramps of freeway, and built the freeway ramp flow relation model and freeway ramps system state space model. Based on analyzing the characters and constraint conditions of OD matrices, this paper applied the constrained Kalman filter(CKF) to estimate OD matrices. Simulation results indicate that CKF method performes much better than traditional Kalman filter(KF) , and the output can trace time-variable OD matrix well. 1 tab, 9 figs, 11 refs.