交通运输系统工程与信息
交通運輸繫統工程與信息
교통운수계통공정여신식
Journal of Transportation Systems Engineering and Information Technology
2015年
5期
216-222
,共7页
城市交通%稀疏矩阵%参数标定%重力模型%误差估计
城市交通%稀疏矩陣%參數標定%重力模型%誤差估計
성시교통%희소구진%삼수표정%중력모형%오차고계
urban traffic%sparse matrix%parameter calibration%gravity model%error estimation
对出行分布观测数据中的稀疏矩阵问题进行分析,提出了部分矩阵估计、补零矩阵估计和增量矩阵估计3种不同方法来标定双约束重力模型的参数.通过定义估计的精确性和有效性两个不同的估计效果测度,将双约束重力模型等价为带有约束的数学规划,并采用解析方法比较3种不同标定方法的估计精度差异.在此基础上,通过数值方法模拟计算,并比较3种标定方法的估计有效性.通过研究可以发现,补零矩阵估计的参数精确性最好,而增量矩阵估计的有效性最好.研究成果能够作为实际城市交通规划中观测稀疏矩阵参数标定工作的理论依据.
對齣行分佈觀測數據中的稀疏矩陣問題進行分析,提齣瞭部分矩陣估計、補零矩陣估計和增量矩陣估計3種不同方法來標定雙約束重力模型的參數.通過定義估計的精確性和有效性兩箇不同的估計效果測度,將雙約束重力模型等價為帶有約束的數學規劃,併採用解析方法比較3種不同標定方法的估計精度差異.在此基礎上,通過數值方法模擬計算,併比較3種標定方法的估計有效性.通過研究可以髮現,補零矩陣估計的參數精確性最好,而增量矩陣估計的有效性最好.研究成果能夠作為實際城市交通規劃中觀測稀疏矩陣參數標定工作的理論依據.
대출행분포관측수거중적희소구진문제진행분석,제출료부분구진고계、보령구진고계화증량구진고계3충불동방법래표정쌍약속중력모형적삼수.통과정의고계적정학성화유효성량개불동적고계효과측도,장쌍약속중력모형등개위대유약속적수학규화,병채용해석방법비교3충불동표정방법적고계정도차이.재차기출상,통과수치방법모의계산,병비교3충표정방법적고계유효성.통과연구가이발현,보령구진고계적삼수정학성최호,이증량구진고계적유효성최호.연구성과능구작위실제성시교통규화중관측희소구진삼수표정공작적이론의거.
The problem of sparse matrix in the trip distribution observational data are analyzed, and three different methods are put forward to calibrate the parameters of the double restraint gravitational model, as Parted Matrix Estimation, Zero Replaced Matrix Estimation and Incremental Matrix Estimation. By defining the Estimate Accuracy Index and the Estimate Effectiveness Index to measure the effects of estimation, this paper through the double restraint gravitational model equivalent mathematical programming with constraints, and compares three different analytical method of the estimation precision of the calibration method. On the basis of analysis, it used the methods of numerical simulation calculation, and contrasted the three estimation methods in accuracy and effectiveness. The conclusion finds that the calibration parameters by the method of the Zero Replaced Matrix Estimation have the best results in accuracy, and the calibration parameters by the method of the Incremental Matrix Estimation have the best results in effectiveness. The research results can be used as a theoretical basis of parameters calibration of observation sparse matrix in urban traffic planning in practical.
