工业工程
工業工程
공업공정
INDUSTRIAL ENGINEERING JOURNAL
2015年
3期
127-133
,共7页
二维平面%多元统计过程控制图(MSPC)%模糊型最小绝对值压缩与选择法(Fused LASSO)%平面度
二維平麵%多元統計過程控製圖(MSPC)%模糊型最小絕對值壓縮與選擇法(Fused LASSO)%平麵度
이유평면%다원통계과정공제도(MSPC)%모호형최소절대치압축여선택법(Fused LASSO)%평면도
two-dimensional plane%multivariate statistical process control(MSPC)%fused LASSO%flat-ness
针对具有二维平面自然顺序关系的多元数据,提出了一种基于二维Fused LASSO回归模型的多元统计过程控制图。由于二维Fused LASSO多元回归模型对相邻系数的差异进行惩罚,因此它对检测出变量间的自然顺序关系非常有效。通过数值仿真实验可以看到,二维Fused LASSO控制图能更加快速有效地检测出具有二维平面自然顺序的多元过程中均值发生的变化,且在偏移量越大的情况下优势更加明显。最后通过对发动机平面度数据的实例验证,给出了二维Fused LASSO控制图的步骤和适用性。
針對具有二維平麵自然順序關繫的多元數據,提齣瞭一種基于二維Fused LASSO迴歸模型的多元統計過程控製圖。由于二維Fused LASSO多元迴歸模型對相鄰繫數的差異進行懲罰,因此它對檢測齣變量間的自然順序關繫非常有效。通過數值倣真實驗可以看到,二維Fused LASSO控製圖能更加快速有效地檢測齣具有二維平麵自然順序的多元過程中均值髮生的變化,且在偏移量越大的情況下優勢更加明顯。最後通過對髮動機平麵度數據的實例驗證,給齣瞭二維Fused LASSO控製圖的步驟和適用性。
침대구유이유평면자연순서관계적다원수거,제출료일충기우이유Fused LASSO회귀모형적다원통계과정공제도。유우이유Fused LASSO다원회귀모형대상린계수적차이진행징벌,인차타대검측출변량간적자연순서관계비상유효。통과수치방진실험가이간도,이유Fused LASSO공제도능경가쾌속유효지검측출구유이유평면자연순서적다원과정중균치발생적변화,차재편이량월대적정황하우세경가명현。최후통과대발동궤평면도수거적실례험증,급출료이유Fused LASSO공제도적보취화괄용성。
A new multivariate statistical process control ( MSPC) chart methodology is developed based on the two-dimensional Fused LASSO ( least absolute shrinkage and selection operator ) for quality control in which the mean shifts have some natural ordering in two-dimensional plane .Because of the two-dimension-al Fused LASSO penalties on the difference between successive variables , it is a desirable tool to identify the natural ordering among variables .The numeric simulation study shows that the two-dimensional Fused LASSO control chart can more quickly and efficiently detect mean shift of such structure , especially where the shift value is large .Finally an application to the engine flatness data shows that the two-dimensional Fused LASSO control chart is applicable and useful .