TAGUCHI METHOD for DYNAMIC PROBLEMS SIGNAL - TO ...

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P.R. Apte : 3-Day Taguchi Method Workshop at UNIMAP 28Feb-1Mar 2012CONTINUOUS - CONTINUOUS TYPE PROBLEMBOTH SIGNAL FACTOR AND QUALITYCHARACTERISTICS TAKE POSITIVE OR NEGATIVEVALUESWHEN SIGNAL M = 0 ,QUALITY CHARACTERISTIC = 0IDEAL FUNCTION y = MSCALING FACTOR EXISTS TO ADJUST SLOPE(PROPORTIONALITY CONSTANT) BETWEEN ' y ' AND ' M'28Feb-1Mar 2012 P.R. Apte : 3-Day Taguchi Method Workshop at UNIMAP S/N ratio (Dynamic) - 23S/N RATIO FOR A C - C TYPE PROBLEM QUALITY CHARACTERISTIC ' y ’ , FOLLOWS THE SIGNAL FACTOR ' M ' y = β M (usually β is taken as 1) y = MSIGNAL NOISE YM 1 X 1 , X 2 , . . . , X n Y 11 , Y 12 , . . , Y 1nM 2 X 1 , X 2 , . . . , X n Y 21 , Y 22 , . . , Y 2n..M m X 1 , X 2 , . . . , X nY m1 , Y m2 , . . , Y mn28Feb-1Mar 2012 P.R. Apte : 3-Day Taguchi Method Workshop at UNIMAP S/N ratio (Dynamic) - 24Dyn S/N Ratio - 12
P.R. Apte : 3-Day Taguchi Method Workshop at UNIMAP 28Feb-1Mar 2012Dynamic Characteristics, Y = M10.80.60.40.2Desired LineSlope 1Best-Fit LineSlope β OPTDesiredsample1Sample2Sample3Best-fit Line0M1 M2 M328Feb-1Mar 2012 P.R. Apte : 3-Day Taguchi Method Workshop at UNIMAP S/N ratio (Dynamic) - 25S/N RATIO FOR A C - C TYPE PROBLEM Quality Loss for each Y ij = K ( Y ij - M i )AVERAGEQ Z =Km nmnI = 1 j = 1( Y ij - M i ) 2 QUALITY LOSS WITHOUT ADJUSTMENT HAS TWO COMPONENTS– LOSS DUE TO SLOPE NOT BEING EQUAL TO 1– LOSS DUE TO DEVIATION FROM LINARITY (VARIANCE)28Feb-1Mar 2012 P.R. Apte : 3-Day Taguchi Method Workshop at UNIMAP S/N ratio (Dynamic) - 26Dyn S/N Ratio - 13
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