基于截面车辆速度的多路径费用拆分  

Cost Partition of Multi-path Based on Vehicle Speed on Cross-section

作　　者：董安国[1] 宋君[1] 陈波[2] 张仙艳[1] 

机构地区：[1]长安大学理学院,西安710064 [2]长安大学经济与管理学院,西安710064

出　　处：《工程数学学报》2014年第4期475-483,共9页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(11171043);中央高校基本科研业务费专项基金(CHD2011JC010;CHD2012TD015)~~

摘　　要：为解决高速公路收费分配问题,提出了一个用于高速公路多路径费用拆分方法.利用组成路径的各个路段中车辆的速度分布,结合各路段长度分析出路径中车辆行驶时间的概率分布;利用车辆在进口和出口的时刻,统计出车辆行驶时间的概率分布,并将其表示为各条路径行驶时间的概率分布的线性组合,根据混合概率模型,其组合系数就是拆分系数.最后进行了仿真计算,结果表明,通过本文算法得到的拆分系数与实际的车辆分流系数之间非常吻合,相对误差仅为0.0025%.In order to solve the cost allocation problem in highway, a multi-path cost partition method utilized in the highway applications is proposed. The probabilistic distribution of the time is provided by velocity distribution of the vehicle on each section of the path and the length of each section of the path. By means of the mixture probabilistic model, the distribution of travel time from the entrance to the exit is described by linear combination of the distribution for travel time of each path, where the combination coefficient corresponds to the partition coefficient. Simulation results show that the partition coefficient is consistent with the vehicle segregation coefficient and the relative error is 0.0025%.

关 键 词：多路径费用拆分 截面车辆速度 最短路径 混合概率模型 

分 类 号：U491.1[交通运输工程—交通运输规划与管理]