20021111:100026788(2002)1120006205SPC,,(,310027):,,,L:;;;:O213.1:ASimilarityAnalysisbetweentheProcessesandItsApplicationinSPCYUZhong2hua,YINJian2jun,WUZhao2tong(ZhejiangUniversity,Hangzhou310027,China)Abstract:Thisarticlediscussesabasicprincipleofsimilarityanalysisatfirst.Andthenitproposesanestimatingmethodofsimilaritydegreebetweentheprocesses,whichisbasedontheprincipleofsimilar2itycell.ThestepsofitsapplicationinSPCisintroduced,andanexampleisgiveninthearticle.Itisshownthatthismethodisverysuitableforthemulti2specificationandsmallbatchproduction.Keywords:similarityanalysis;SPC;multi2specification;smallbatchproduction:2000212204:(79970032);(98002):(1963-),,,,,:,1,,L,,,,,,,,L,,,,,[1]L,,,,SPCL2[2]1:aiA,biB,S,,aibiA,BZ2:AB(ai,bi),,,ui(ai,bi)Z,Z(ai,bi)©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.m,mS1,S2,,SmZui(ai,bi)(i=1,2,,n),Uj(ai)aiSj,Uj(bi)biSjZrijZrij=min{Uj(ai),Uj(bi)}max{Uj(ai),Uj(bi)}(1)rij[0,1]Zrij=1,aibiSj,rij=0,Z,q(ui)=6mj=1djrij(2)dj,q(ui)ZA,BkU={u1,u2,,uk},Q=6kj=1Xjq(uj)(3),Xj,Z,,Z3,,,ZZ:3.1,4M1E,:Z,,,Z,,Z,;Z:1),,;2),();3);4),Z5):A={Aa,Ac,At}Z,{Aa};{Ac};{At}Z3.2,AB,:A={a},B={b}Z,,Z,SPC,,,,,,:A={c,a},B={c,b},c=ABZ,{a}{b}u{a,b}Z,,,Za={a1,a2,,am},b={b1,b2,,bm},aibiai={ai1,ai2,,aini},bi={bi1,bi2,,bini},aijbij(:Z)Z,u{a,b}={u1,u2,,um},u1=ui(ai,bi},i=1,2,,m,Z711SPC©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.3.3,SZ,Z$LR,Z,,,S(1)={S(1)1,S(1)2}={$L,R}Z,Z,S(2)i={S(2)i1,S(2)i2,,S(2)ipi},i=1,2,,m(4),,,,Z3.3.1uiui:qk(ui)=6pij=1dkijrij,i=1,2,,m;k=1,2(5),dkij,{S(2)i1,S(2)i2,,S(2)ipi}S(1)kZrijiui(ai,bi)S(2)ij,rij=6mk=1Aikrijk(6)Aik,aikbikS(2)ijZrijkaikbikS(2)ij,(1)Z,,Z,,Z,rijkZS(2)ij,rijkaikbik,rlijkbikaik,rijkrlijk,:0FrijkF1;rijk+rlijk=1(7)rijk=0.5,aikbik,Zrijk0.5,aikbikS(2)ij,Z:rijk[0.4,0.6];[0.3,0.4)(0.6,0.7];[0.2,0.3)(0.7,0.8];0.20.8;01,Z,q(ui)=0.5,;q(ui)0.5,;0.5A={a}B={b},Z3.3.2u(3),uS(1)kQ(u)k,:Q(u)k=6mi=1Bkiqk(ui)(8)Bki,uiS(1)kZ3.3.3u,Z,,ZS(1)jQjQj=(1-Kj)0.5+KjQ(u)j,0FKjF1,j=1,2(9)KjS(1)j,Z3.3.48200211©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.,,L,L,,,,,AHP(TheAnalyticHierarchyProcess)LAHP,[3]LL4SPC,(4M1E)L,,LSPC[4],,,SPCL,,LL,()L,100L,2-0.009-0.015mm2.5-0.010-0.015mm,LHY-017B,L,:(),,L,SPCL4.1ÉÊ,,Z,u={u1(),u2(),u3(),u4()}ZS(1)={S(1)1(),S(1)2()},u1,u2S(2)1=S(2)2={S(1)11(),S(2)12()},u3u4S(2)3={S(2)31(),S(2)32()},S(2)4={S(2)41()}Z1)dkj,:{d11j}={d12j}={0.67,0.33},{d21j}={d22j}={0.25,0.75},{d13j}={0.83,0.17},{d23j}={0.88,0.12},{d14j}={d24j}=1Z2)Bki,AHP,12Z,:{B1i}={0.5409,0.2298,0.0758,0.1535},{B2i}={0.4861,0.2142,0.2551,0.0446}ZC.R.0.1,Z3)rijIII:{r1j}={0.55,0.4},{r2j}={0.5,0.35},{r3j}={0.20,0.45},{r4j}={0.55}Z4)(5),:{q1(ui),i=1,2,3,4}={0.50,0.45,0.24,0.55},{q2(ui),i=1,2,3,4}={0.43,0.39,0.23,0.55}Z(8)u:Q(1)1=64i=1B1iq1(ui)=0.477,Q(1)2=0.376Z,,;Z()Z911SPC©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.1S(1)1u1u2u3u4B1iu113540.5409u21ö31320.2298u31ö51ö311ö30.0758u431ö2310.1535Kmax=4.111,C.I.=0.037,C.R.=0.0422S(1)2u1u2u3u4B2iu112380.4861u21ö211ö270.2142u31ö32150.2551u41ö81ö71ö510.0446Kmax=4.1896,C.I.=0.063,C.R.=0.0714.2,,,,,(X{ÉiX{Êj)Z,{(X{Éi-X|É,Ê)öRvÉ),(X{Êi-X|É,Ê)öRvÊ,Z,(RvÉ,RvÊ)(X{ÉiX{Êj),X|É,Ê(X{ÉiöRvÉ,X{ÊiöRvÊ)Z4.322,Z12(,(RvÉRvÊ)10,X|É,Ê,3)ZZ,2(100),:2(a)(b)É,(c)(d)ÊL12,,,L12225,,SPCL,L,,,,SPCL(25)01200211©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.,GA,L,,,,,L5GA,,GALGA,,LL:[1]ErmanLD,etal.Hearsay2IIspeech2understandingsystem:integratingknowledgetoresolveuncertainty[J].ACMComputingSurvey,1980,12(2):213-253.[2]ReddyM,etal.Theblackboardmodel:asurveyofitsapplication[J].ArtificialIntelligence,1991,5:169-186.[3]LlinasJ,etal.Blackboardconceptsfordatafusionapplications[J].InternationalJournalofPatternRecognitionandArtificialIntelligence,1993,7(2):285-308.[4]CraigID.Formaltechniquesinthedevelopmentofblackboardsystems[J].InternationalJournalofPatternRecogni2tionandArtificialIntelligence,1993,7(2):197-219.[5]McManusJW,etal.Designandanalysistechniquesforconcurrentblackboardsystems[J].IEEEtransactionsonsystems,man,andcybernetics,1996,26(6):669-680.[6].ZIPE[R].:TR9001,1990.[7],.[R].,:TR9802,1998.[8],.:[R].,:TR9803,1998.[9],,.[R].,:TR9909,1999.(10):[1],.[J].,1999,19(7):128-131.[2].[M].:,1993.[3],.[M].:,1989.[4]AL2SaltiM,StathamA.AreviewoftheliteratureontheuseofSPCinbatchproduction[J].QualityandReliabilityEngineeringInternational,1994,10:49-46.5211©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.