工程数学学报
工程數學學報
공정수학학보
CHINESE JOURNAL OF ENGINEERING MATHEMATICS
2014年
4期
475-483
,共9页
董安国%宋君%陈波%张仙艳
董安國%宋君%陳波%張仙豔
동안국%송군%진파%장선염
多路径费用拆分%截面车辆速度%最短路径%混合概率模型
多路徑費用拆分%截麵車輛速度%最短路徑%混閤概率模型
다로경비용탁분%절면차량속도%최단로경%혼합개솔모형
multi-path cost partition%cross-section vehicles speed%the shortest path%mixed probability model
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%.
為解決高速公路收費分配問題,提齣瞭一箇用于高速公路多路徑費用拆分方法.利用組成路徑的各箇路段中車輛的速度分佈,結閤各路段長度分析齣路徑中車輛行駛時間的概率分佈;利用車輛在進口和齣口的時刻,統計齣車輛行駛時間的概率分佈,併將其錶示為各條路徑行駛時間的概率分佈的線性組閤,根據混閤概率模型,其組閤繫數就是拆分繫數.最後進行瞭倣真計算,結果錶明,通過本文算法得到的拆分繫數與實際的車輛分流繫數之間非常吻閤,相對誤差僅為0.0025%.
위해결고속공로수비분배문제,제출료일개용우고속공로다로경비용탁분방법.이용조성로경적각개로단중차량적속도분포,결합각로단장도분석출로경중차량행사시간적개솔분포;이용차량재진구화출구적시각,통계출차량행사시간적개솔분포,병장기표시위각조로경행사시간적개솔분포적선성조합,근거혼합개솔모형,기조합계수취시탁분계수.최후진행료방진계산,결과표명,통과본문산법득도적탁분계수여실제적차량분류계수지간비상문합,상대오차부위0.0025%.
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%.