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1、InnovativeSixSigmaDesignUsingtheEigenvectorDimension-Reduction(EDR)MethodLeeJ.Wells,ByengD.Youn,andZhiminXiDepartmentofMechanicalEngineeringandEngineeringMechanicsMichiganTechnologicalUniversityHoughton,MI49931{ljwells,bdyoun,zxi}@mtu.eduCorrespondingAuthor:ProfessorByengD.YounKeywords
2、:EnhancedDimensionReduction,TaguchiMethod,QualityEngineering,S/NRatios,Six-SigmaAbstract.ThispaperpresentsaninnovativeapproachforqualityengineeringusingtheEigenvectorDimensionReduction(EDR)Method.CurrentlyindustryreliesheavilyupontheuseoftheTaguchimethodandSignaltoNoise(S/N)ratiosasqua
3、lityindices.However,somedisadvantagesoftheTaguchimethodexistsuchas,itsrelianceuponsamplesoccurringatspecifiedlevels,resultstobevalidatonlythecurrentdesignpoint,anditsexpensivenesstomaintainacertainlevelofconfidence.Recently,ithasbeenshownthattheEDRmethodcanaccuratelyprovideananalysisof
4、variance,similartothatoftheTaguchimethod,butisnothinderedbytheaforementioneddrawbacksoftheTaguchimethod.ThisisevidentbecausetheEDRmethodisbaseduponfundamentalstatistics,wherethestatisticalinformationforeachdesignparameterisusedtoestimatetheuncertaintypropagationthroughengineeringsystem
5、s.Therefore,theEDRmethodprovidesmuchmoreextensivecapabilitiesthantheTaguchimethod,suchastheabilitytoestimatenotonlymeanandstandarddeviationoftheresponse,butalsotheskewnessandkurtosis.TheuniquenessoftheEDRmethodisitsabilitytogeneratetheprobabilitydensityfunction(PDF)ofsystemperformances
6、.Thiscapability,knownastheprobabilistic“what-if”study,providesavisualrepresentationoftheeffectsofthedesignparameters(e.g.,itsmeanandvariance)upontheresponse.Inaddition,theprobabilistic“what-if”studycanbeappliedacrossmultipledesignparameters,allowingtheanalysisofinteractionsamongcontrol
7、factors.Becauseoftheseadvantages,itisapparentthattheEDRmethodprovidesanalternativeplatformofqualityengineeringtotheTaguchimethod.Foreasyexecutionbyfieldengineers,theproposedplatformfor3qualityengineeringusingtheEDRmethod,knownasQuickQualityQuantification(Q),willbedevelopedasaMicrosof
