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G E T S ) ? 20. 製程能力指數(shù) Cp及 Cpk ( ii) USL LSL Cp = UCL LCL Cpk = Cp (1 k ) Targ et V alue proc ess m ean ? X W here k = (USL LSL ) / 2 = 3 sd USL LSL ? X Cpk = UCL LCL ( 1 3 sd ) 或 U S L X X L SL Cpk = { 1 , 1 } m i n 2 ( USL LSL ) 2 ( USL LSL ) USL X X L SL = { 3sd , 3sd } m in 註 : min 即為取兩者之最小值。 Cpk 值 每百萬(wàn)產(chǎn)品內(nèi)之缺陷 71800 6900 2700 63 1 ( ) 1 pa rt per bi ll ion 21. Cpk 的圖像比例及計(jì)算( iii) Cpk = LS L T US L ? x Cpk = LS L T US L ? x Cpk = LS L T US L ? x Cpk = LS L T US L ? x 例子說(shuō)明 I : LS L T US L 10 ? x 20 L CL 15 UCL 12 18 = (2010)/(1812) * [1(1515)/5] = (10)/6 * [10] = Since : Cp = P r oce ss Me an = x TV = 1 3 LCL LS L T UCL US L 6 10 13 ? x 20 24 17 = (2410)/(206) * [1(1713)/7] = (14)/14 * [] = Since : Cp = 1 USL LSL UCL LCL ?Cpk = [ 1 (? X )/3sd] ?Cpk = USL LSL UCL LCL [ 1 (? X )/3sd] 例子說(shuō)明 II : P r oce ss M ean = X = 15 LCL UCL 8 LS L T US L 22 12 ? x 20 16 = (2012)/(228) * [1(1615)/4] = (8)/14 * [] = Since : Cp = P r o c e ss M e an = X = L CL = 12 UCL = 21 LS L T US L 10 ? x = 20 30 = (3010)/(2112) * [1()/10] = (20)/9 * [] = Since : Cp = USL LSL UCL LCL ?Cpk = [ 1 (? X )/3sd] USL LSL UCL LCL