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质量管理相关知识简介(英文版)
ResponseSurfaceMethodology
WhatisResponseSurfaceMethodology(RSM)ResponseSurfaceMethodology(RSM)isacollectionofmathematicalandstatisticaltechniquesthatareusefulforthemodelingandanalysisofproblemsinwhicharesponseofinterestisinfluencedbyseveralquantifiablevariables(orfactors),withtheobjectiveofoptimizingtheresponse.
ResponseSurfaceTheyieldofaprocess(Y)wasdeterminedtobeinfluencedbytheamountofnitrogen(X1)andphosphoricacid(X2),i.e. Y=?(X1,X2)+?where?isthenoiseorerrorobservedintheresponse.Ifwedenotetheexpectedresponseby E(Y)=?(X1,X2)=?thenthesurfacerepresentedby ?=?(X1,X2)iscalledaresponsesurface.
ResponseSurfacePlotsResponseSurfacePlotsshowhowaresponsevariablerelatestotwoquantifiablefactorsbasedonamodelequation.
ResponseSurfaceDesignsDesignsforfittingresponsesurfacesarecalledresponsesurfacedesigns.Whenchoosingadesignidentifythenumberofcontrolfactorsunderinvestigationdeterminethelimitingnumberofexperimentalrunsensureadequatecoverageoftheregionofinterestdeterminetheimpactofeconomics–cost,time,availability,etc
ResponseSurfaceMethodology–Why?ResponseSurfaceMethodsareusedtoexaminetherelationshipbetweenoneormoreresponsesandasetofquantifiablefactorstosearchforthesettingofcriticalcontrolfactorsthatwouldoptimizetheresponsewhencurvatureintheresponsesurfaceissuspected
ResponseSurfaceMethodology–When?ResponseSurfaceMethodsmaybeemployedtofindfactorsettingsthatproducethe“best”responsefindfactorsettingsinwhichoperatingorprocessspecificationsaresatisfiedidentifynewoperatingconditionsthatwouldproducetherequiredimprovementinproductqualitymodelarelationshipbetweenthecontrolfactorsandtheresponse
ResponseSurfaceFunctionsFirst-OrderModelResponsesurfacewillbeplanar.Second-OrderModelResponsesurf
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