响应面法的理论与应用

王永菲1,王成国2(1,100081;2,100081):,,,,.:;;;:O29,TB11:A:1005-8036(2005)03-0236-05:2005-04-01:(1980-),(),,.1引言,,,,.,.,.,(ResponseSurfaceMethodology,:RSM).RSM,,[1].RSM,,.,,RSM,RSM,.RSM,.,[2].2响应面法的基本思想.,,.,.:(2k-p,3k-p),Placket-tBurman.,..20058143()JournaloftheCUN(NaturalSciencesEdition)Aug.2005Vol.14No.3.,,:y=0+ki=1ixi+(1)(1).,2k2k-p,.x1,x2,,xk.,..,,:y=0+ki=1ixi+ki=1iix2i+kijijxixj+(2)(2).,(CCD)Box-Behnken(BBD),KoshalHybrid,,A-D-G-.,CCD,CCD:(1)CCDCCD,;(2)CCDCCD[1~3]..3响应面法的应用.1966HillHunterRSM[4],RSM,;1975MeadPikeRSM[5]RSM,;1989Myers,KhuriCarterRSM19661988RSM[6];1999MyersRSM,RSM,RSM[2].RSM,,D-.RSM,.,RSM.RSM,RSM.31RSM,RSM.2050,.HillHunter1966RSM[4].,RSM.,.:RSM,,,.RSM,,.RSM[5].,RSM.:RSM,RSM,,RSM,[7].2373:322070,RSM,..,.2070,R.G.Henika.,RSM.Henika,Palmer[8]Henika[9]RSM,[6].RSM:(1)RSM.:,;Box-Behnken.(2)RSM.:,;,Placket-tBurman,.33,,RSM,.,,,,..(1).,,,,,,.,.,,RSMRSM,,,,[10].,,,.,RSM.1984Wong,1985.,,,Talor,,.Bucher,,[11],.,RSM.,,,.,.,,.,[12],.(2)RSM,.ADAMSRSM,ADAMSRSM,238()14.200KMH[13],.,RSM,.34,.,RSM.:,RSM,,[14].,RSM.:FentonCOD[15].,1970ShecherHeady,,RSM,,[16].4结束语RSM,,.,RSM,.,RSM,,,,.,,,.,A-D-E-G-,,,[2],.,,.,,,,.:[1].[M].:,1998.[2]RAYMONDHMYERS.ResponseSurfaceMethodology-CurrentStatusandFutureDirections[J].JournalofQualityTechnology,1999,31(1).[3],,.[M].:.2003.[4]HILLWJ,HUNTERWG.AReviewofResponseSurfaceMethodology:ALiteratureReview[J].Technometrics,1966,8:571-590.[5]RMead,DJPike.AReviewofResponseSurfaceMethodologyfromABiometricsViewpoint[J].Biometrics,1975,31(12):803-851.[6]RAYMONDHMYERS,ANDREIKHUTI,WALTERHCARTER.ResponseSurfaceMethodology:1966-1988[J].Technometrics,1989,31(2).[7]CARTERWH,WAMPLERGL,STABLEINDM.ReviewoftheApplicationofResponseSurfaceMethodologyintheCombinationTherapyofCancer[J].CancerTreatmentReports,1983,70:133-140.[8]HENIKARG,PALMERGM.Response-SurfaceMethodology-Revisited[J].CerealFoodScience,1976,21:432-445.[9]HENIKARG.UseofResponseSurfaceMethodologyinSensoryEvaluation[J].FoodTechnology,1982,36:96-101.[10].[J].,1999,(21).[11]BUCHERCG,BOURGUNDU.AfastandEfficientResponseSurfaceApproachforStructuralReliabilityProblems[J].2393:StructuralSafety,1990,7(1):57-66.[12],,,.[J].,2000,(1).[13],,.200kmh[J].,2004,24(5).[14],.[J].,2001,6(4).[15].Fenton[J].,2003,(4).[16]SHECHTERM,HEADYEO.ResponseSurfaceAnalysisandSimulationModelsinPolicyChoices[J].AmericanJournalofAgriculturalEconomics,1970,52:41-50.TheApplicationofResponseSurfaceMethodologyWANGYong-fei1,WANGCheng_guo2(1.SchoolofMathematicalandComputerScience,CentralUniversityforNationalities,Beijing100081,China;2.RailwayScienceandTechnologyResearchDevelopmentCenter,ChinaAcademyofRailwaySciences,Beijing100081,China)Abstract:Inthispaper,weintroducetheessentialsofresponsesurfacemethodology(RSM),ThearticlereviewtheapplicationsofRSMinthechemicalandbiologicalfields,andinfoodandengineeringsciences,especiallyinstructuraloptimaldesignandreliabilityanalysis.WementiontheapplicationofRSMinvehicledynamics.AlloftheseshowRSMwillbeappliedwidely.Keywords:responsesurfacemethodology;engineeringapplications;vehicledynamics;mathemaicalprogramming[责任编辑:杨玉](上接第213页)Three_coloredAnswersforCubicGraphbyExpandTreeswithFaceCHENGBin(SchoolofMathematicsandComputerScience,CentralUniversityforNationalities,Beijing100081,China)Abstract:Weanalyzedthecharactersofodd_evenandcombinationofcubicgraph,andgottheconceptofpieces_can_be_three_colored.Mostofpieces_can_be_three_coloredwerefoundbythemethodofexpandtreeswithface.Weeducedmanyedgethree_coloredanswersfrompieces_can_be_three_coloredofcubicgraph.Keywords:cubicgraph;bichromaticsubgraph;maximalplanargraph[责任编辑:杨玉]240()14