MTシステムの諸問題と改良手法 - ism.ac.jp

1 1 1/84 MT MT MTA RT T (2007) (2008) MT MTA RT TS 2/843 No. x1x2 xp1 x11x12 x1p2 x21x22 x2p n xn1xn2 xnp1 y11y12 y1p2 y21y22 y2p m ym1ym2 ymp .1 1. 2. 3. 3/844 1. 2. 3. 2 4. 4/845 vs 5/846 MT MT MT MT MT 6/84.

2 MT MT MTA RT T 7/848 [2] [1]),(1 N),(2 N [1] [2]) ( ) ( ) ( ) ( 2122]2[1112]1[ xxDxxDTT) (212]2[2]1[DDz xzxz 008/849 2003) ),(,..,,21 Nxxxn ),..,2,1() ( ) ( 112nizRzxxDiTiiTii )()(12 xxDT)(22pD p pDVpDE2)(,)(22 pap2 10/841 1 2*22* iiiDDpD 11npE(D02) ) ( ) ( 01020 xxDT),(0 Nx 2)1() (20 pnnpDEpDEpn ) (20 n>>p 11/8412 . (2002) 11 12 ,p piRn pa x a xa xa 0 zRzxxDTT 112) ( ) ( MT MT MTA RT T 12/8413zRzxxDTT 112) ( ) ( R-1 R zRzDTA ~ 2 jiijijijjiijRjiRrRpjiR),(~)()1()1( 13/84 12/32/12/312/32/12/31) (R 03321 zzz )20|| RrankRR 41)1(4112/32/3111111111 R43)1(4312/32/12/321122121 (2003) 2003) 14/8415 13133313141~R23212)3(41~ zzzzRzDTA 0 0 0 222 AAADDD03321 zzz 15/8416 pIIRRRpp||~ 11||~ RRRR zRzRzRzDTTA 12||~ 16/8417 0,04321 zzzz )20|| RrankRR 0)1( R0)

3 1( R17/84180~ 2 zRzDTA 0~ 0~2zRzDRRTA 0000000000000000~R18/84192121 ||||~ DRzRzRzRzDRTTA 0 2 ADR 2222222 0 0 0 )( AAAAAADDDDDaDR 19/84 2003) TpppTTwwwwwwR ..222111 iipw :..21 TpppTTwwwwwwRR 20/8421 pppwR 0 TTTwww 51,53,51,021,0,21,21103,102,103,25332211 12/32/12/312/32/12/31) (R 03321 zzz 21/8422 pqqpqqqpqpR ,..,,)( )(2121 0,04321 zzzz TTTT wwww 21,21,0,0,00,0,21,21, , , , , , , , ,344332211 22/8423 TpppTqqqTqqqTpqqpqqwwwwwwwwRcccc .. ,,,1111112121 222212)2(2)1(.. pTqTqTTwzwzwzDzRzD TqqqTwwwwR 23/8424 21,0,212102112103,102, )( zRzDT 2)1( 2832223243222322825124/84252321232)2()3( 51)(zzzwzDT )3(51515351,,3213213zzzzzzwzT 03321 zzz 25 )( , , , , , , zRzDT 2)1(26/842724322124232)2()(21)(21)()(zzz zwzwzDTT )(21212100,,,)(21002121,,,43432142143213 zzzzzzwzzzzzzzwzTT 0,04321 zzzz 27/8428 28/8429.

4 RT Recognition Taguchi MT RT SN MT MT MTA RT T 29/8430 RT RT 30 (2006a) .. 1,/1121121111 kSVrLxSSSeepjjTe rLY/1111 121eVY .. 1)(112111111 nYYnSVnii1)(112222222 nYYnSVnii1))((1122111212 nYYYYnSVniii])())((2)()[2/1(222112211122 11222 YYVYYYYVYYVD iiiii RT D21D22D2n32 211222112122211221112211222,,,,,,..,,])( ))((2)()[2/1(YYVVVmmmYYVYYYYVYYVDp RT D233 (2009) MT ),..,2,1() ( ) ( 112nizRzxxDiTiiTii ) ( ) ( 01020 xxDT34/8435 r L 1,/1121121111 kSVrLxSSSeepjjTe RT p x1,x2.

5 , xp ( ) (2006a,b) RT 35/8436 2012) 36 (2009) it r 0( mj ) r = 0 (m1= m2=..=mp=0) Yi1 iippiiTipiiitmtmtmtmxxxx ),..,,(),..,,(221121 Tpmmmm),..,,(21 Tptttt),..,,(21 1xm 2m1m2xix p=2 pjjmr120 t n rLYi/111 37/8438rtmYiTi/11 ))1/((/)(22 kSVYrtmttSeieiiiTiTiei 1/1)/1(111111 rtmrtmnYnYTiTninii iTieiiTittStmY 0110121 iiYY)(0mxtii it 1xm 2m1m2xix ])())(1(2)1()[2/1(222112211221222 YYVYYYVYVD iiiii 0])[2/1(22112 YVDi 0 0 t38/84i (2009) ])())(1(2)1()[2/1(222112211221222 YYVYYYVYVD iiiii p 200 (n=200) 200 Di2(i=1,2,..,200) (dEi2,Di2) (i=1,2,..,200) 22222112)(..)()()()(pipiiiTiEimxmxmxmxmx d 39/8440( ) 2 (p=2) x1 U(1,2) x2 U(4,5) (dEi2,Di2) (p=2 )it 1xm 2m1m2xix )()(2mxmxdiTiEi ])())(1(2)1()[2/1(222112211221222 YYVYYYVYVD iiiii 40/8441( ) 2 (p=2) x1 N(1,12) x2 N(2,12) (p=2 ))()(2mxmxdiTiEi (dEi2,Di2) ])())(1(2)1()[2/1(222112211221222 YYVYYYVYVD iiiii )()(2mxmxdiTiEi 1/8441/8442( ) 2 (p=2) x1 N(1,12) x2 N(2,12) (p=2 = )(dEi2,Di2) ])())(1(2)1()[2/1(222112211221222 YYVYYYVYVD iiiii )()(2mxmxdiTiEi it 1xm 2m1m2xix 42/8443( ) 5 (p=5) x1 U(1,2) x2 U(2,3) x3 U(3,4) x4 U(4,5) x5 U(5,6) (p=5 )(dEi2,Di2) 43/8444 (p=5 )( ) 5 (p=5) x1 N(1,12) x2 N(1,12) x3 N( ,12) x4 N(2,12) x5 N(2,12) (dEi2,Di2) 44 (2009) 0 ])(2)()[2/1(22#11211#12211#222#iiiiiYVYY YVYYVD niinYYV1211#11/)

6 ( niinYV122#22/ niiinYYYV1211#12/)(])())(1(2)1()[2/1(222 112211221222 YYVYYYVYVD iiiii 45/8446( ) 2 (p=2) x1 U(1,2) x2 U(4,5) (dEi2,Di#2) (p=2 )( ) 2 (p=2) X1 N(1,12) X2 N(2,12) (dEi2,Di#2) (p=2 )46/8447 (dEi2,Di#2) (MDi2,Di#2) (p=2 = )( ) 2 (p=2) X1 N(1,12) X2 N(2,12) = MD2D# 2(a) (dEi2,Di#2) (b) (MDi2,Di#2) )( )(12mxmxMDiTii )()(2mxmxdiTiEi 47/8448( ) 5 (p=5) x1 U(1,2) x2 U(2,3),x3 U(3,4) x4 U(4,5), x5 U(5,6) (dEi2,Di#2) (p=5 )( ) 5 (p=5) x1 N(1,12) x2 N(1,12),x3 N( ,12) x4 N(2,12),x5 N(2,12) (dEi2,Di#2) (p=5 )48/84491,22 kball (dEi2,Di#2) (p=5 ) (dEi2,Di#2) (p=5 )])1(2)1()[2/1(22#1121#1221#222#iiiiiYVY YVYVD })1(1)1(2)1{(21#1122#1221#22212#VpYVpYYV YDC iiiii #2 (dEi2,DCi#2) (p=5 ) (dEi2,DCi#2) (p=5 ) 49/8450 DC #2 RT 50/8451RT 2 (2012).)

7 RLY/1111 RT r=0 51/8452 RT-PC Y1: Y2 RT-SD RT-M RT-PC+ Y1: Y2 Yq 52/8453 34 MT RT-PC+ RT-PC RT-SD RT-M RTA B A B RT-PC+ RT-PC RT-SD MT RT-M RT RT-SD RT-PC 53/84 T MT MTA T RT MT 54 (2005b) aNo. p 1 NNo. p 1aNo. p 1l 55/84 )(121ajjjjxxxax )(1210ayyyaMy jijijxxX iM No. p 1aNo. p 1lijx iy No. p 1lijX yyMii 56/84 rXMXMXMll12121111 )(0)()(111111111 eeeeVSVSVVSr 22221lMMMr M1 XMX11 llpllppMXXXlMXXXMXXXMp 212222211112112121 vs 1XM 57/84 MX11 vs 1 111 iiXM MX22 2 vs 2 222 iiXM iMi MXpp pvs p pipipXM iMpM2 XpX1X llplliipiippMXXXlMXXXiMXXXMXXXMp 21212222211112112121 58/84 pippiiiMMMM 212211 llMMMMMMML 2211 22221 lTMMMMS rLSMM2 MTMeMSSS 1 lSVeMeM eMeMMMVVSr)(1log1010 iM llplliipiippMXXXlMXXXiMXXXMXXXMp 21212222211112112121 lMMMM 21 M2 XpX1X 59/84 pjjijjjpjjiiyxxyMy11)(1 pipkiiiMMMM 212211 jjijjijijxxXM eMeMMMVVSr)(1log1010 M2 XpX1X xMMMMMxil.

8 21 60/84M2 XpX1X 222222222111111)(,0)()(,0)()(,0)(ppppppV EMXVEMXVEMX pjjijjjpjjiiyxxyMy11)(1 iippiiixxxy 22110M2 XpX1X yxxxxxypjjijjippiii 122110)( iM 61/84 liiiliiiliiiMMyMyMyyRSS121212 ) ()( T !?T SN (residual sum of squares) T SN eMeMMMVVSr)(1log1010 rRSSlrVVVSreMeMeMM1111)(1 SN RSS 62/84 21,cxx T !? 2121 ,iiMM 3133113213322112 2 iiiiiiMMMMMM T 63/84 T !?T M2 XpX1X 222222222111111)(,0)()(,0)()(,0)(ppppppV EMXVEMXVEMX T T 64/84 65 -5-4-3-2-10123-4-20246-5-4-3-2-10123-2-1 0123450000 1X2 XMM66/84 vs 67/84 Ta Tb a 68 00 b x1 x1 y x1 y.

9 X1 y SN M x2 70/84 pjjijajajpjajiiyxxyMy11)(1 pjjijjjpjjiiyxxyMy11)(1 pjtjjjtijjjpjjjiijjytxxttMy1**1**)()()(1 a b SN:)(:)(**jjjjjjtjttjt 71/84 Ta Tb lRSSEERSS liiiyyRSS12 2) (yyEPE (1) :l(2) 72/84 (A) ),(),..,2,1;,..,2,1(),0(~,)1,0(~21222211 iiiijiippiiixxCorpjNiNNxxbxbxby (B) ),..,2,1;,..,2,1(),0(~,)1,1(~),..,2,1;,. .,2,1(22pjNiNNypjNiyaxjijiiijij ),1,1,1,1,1(),,,(521 ), , ,1, , (), , ,1, , (), ,1,1,1, ( ) ,1,1,1, ( M2 XpX1X 73/84)20,5(),( Np)2,2,2,2,2(),,,(521 bbb 0 ) , , ()3,2,1( ( ) ERSS a b020406080100120140 1 3 5 ERSST Ta Tb a b iippiiixbxbxby 2211A)74/84)20,5(),( Np)3,3,2,1,1(),,,(521 aaa :)5(),4(),3(),2(),1( (B) ERSS (1) (2) (3) (4) (5)ERSST Ta Tb a b iijijyax B)M2 XpX1X 75/84020406080100120140160 1 3 5 PET Ta Tb )20,5(),( Np)2,2,2,2,2(),,,(521 bbb 0 ) , , ()3,2,1( ( ) PE a b iippiiixbxbxby 2211A)76/84)10,5(),( Np)2,2,2,2,2(),,,(521 bbb 0 ) , , ()3,2,1( ( ) PE 020406080100120140160 1 3 5 PET Ta Tb a b iippiiixbxbxby 2211A)77/84)7,5(),( Np)2,2,2,2,2(),,,(521 bbb 0 ) , , ()3,2,1( ( ) PE 0100200300400500600700800 1 3 5 PET Ta Tb a b iippiiixbxbxby 2211A)78/84)20,5(),( Np)3,3,2,1,1(),,,(521 aaa :)5(),4(),3(),2(),1( (B) PE (1) (2) (3) (4) (5)PET Ta Tb a b )5.

10 ,2,1(222 jaajjj iijijyax B)79/84 Ta Tb T Ta Tb Ta Tb Ta Tb Ta 80/84 M2 XpX1X M2 XpX1X 81 MT MT MT (2012) (2012) 2005 10 3 81/8482 MT MT SQC 2007) 82/84 MT (2012) T 42, 265-277. (2012) RT 42 248-264. (2002) 20 21 55 61-70.