质量管理相关知识简介(英文版).ppt

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1、ResponseSurfaceMethodologyWhatisResponseSurfaceMethodology(RSM)ResponseSurfaceMethodology(RSM)isacollectionofmathematicalandstatisticaltechniquesthatareusefulforthemodelingandanalysisofproblemsinwhicharesponseofinterestisinfluencedbyseveralquantifiable

2、variables(orfactors),withtheobjectiveofoptimizingtheresponse.2ResponseSurfaceTheyieldofaprocess(Y)wasdeterminedtobeinfluencedbytheamountofnitrogen(X1)andphosphoricacid(X2),i.e.Y=ƒ(X1,X2)+whereisthenoiseorerrorobservedintheresponse.Ifwedenotetheexpect

3、edresponsebyE(Y)=ƒ(X1,X2)=thenthesurfacerepresentedby=ƒ(X1,X2)iscalledaresponsesurface.3ResponseSurfacePlotsResponseSurfacePlotsshowhowaresponsevariablerelatestotwoquantifiablefactorsbasedonamodelequation.4ResponseSurfaceDesignsDesignsforfittingrespo

4、nsesurfacesarecalledresponsesurfacedesigns.Whenchoosingadesignidentifythenumberofcontrolfactorsunderinvestigationdeterminethelimitingnumberofexperimentalrunsensureadequatecoverageoftheregionofinterestdeterminetheimpactofeconomics–cost,time,availability

5、,etc5ResponseSurfaceMethodology–Why?ResponseSurfaceMethodsareusedtoexaminetherelationshipbetweenoneormoreresponsesandasetofquantifiablefactorstosearchforthesettingofcriticalcontrolfactorsthatwouldoptimizetheresponsewhencurvatureintheresponsesurfaceissu

6、spected6ResponseSurfaceMethodology–When?ResponseSurfaceMethodsmaybeemployedtofindfactorsettingsthatproducethe“best”responsefindfactorsettingsinwhichoperatingorprocessspecificationsaresatisfiedidentifynewoperatingconditionsthatwouldproducetherequiredimp

7、rovementinproductqualitymodelarelationshipbetweenthecontrolfactorsandtheresponse7ResponseSurfaceFunctionsFirst-OrderModelResponsesurfacewillbeplanar.Second-OrderModelResponsesurfacewillbecurvi-planar8ResponseSurfaceFunctionsRSMseekstoidentifytherelatio

8、nshipbetweentheresponseandthecontrolfactors.Itisasequentialprocedure,startingfromcurrentoperatingconditionsandmovingtowardstheoptimumcondition.Pointsontheresponsesurfacethatareremotefromtheoptimumcondition,suchascurrentoperatingconditio