8/17/2019 Introducción Al Diseño Robusto TAGUCHI 2016
1/17
!"# !%&'( )*+,+ -&./(0+ !%1&2( )+'345%6
Diseño Robusto (tipo Taguchi)
71 3.+ 8&9(/(*(':+ &;,&"%8&.9+*
8/17/2019 Introducción Al Diseño Robusto TAGUCHI 2016
2/17
!"# !%&'( )*+,+ -&./(0+ !%1&2( )+'345%P
!(-/$01% 21 -$3/0$#4 Q(. ?+49("&1 ?&49+ 1(*( *+ B+"%+C%*%/+/
MMM# >?&49+ 1=*( *+ 8&/%+
MS# T( +?&49+ *+ 8&/%+ .% *+ B+"%+C%*%/+/#
!(-/$01% 21 0,"2$# Q(. ?+49("&1
8/17/2019 Introducción Al Diseño Robusto TAGUCHI 2016
3/17
!"# !%&'( )*+,+ -&./(0+ !%1&2( )+'345%Z
915(# ( :,"2$ ;9"+3(# /$ 4(.9%.3+4%=. 1& 83&19"+ +*'3.(1
+""&'*(1 ("9('(.+*&1 ,"(,3&19(1 ,(" )+'345%A +1: 4(8( 131 "&1,&49%B+1 9+C*+1 /& %.9&"+44%(.&1A /(./&
1& 83&19"+. *+1 4(*38.+1 4(.?3./%/+1A *( 43+* ,3&/& +F3/+"*& + +1%'.+" ?+49("&1 + 4(*38.+1 /&
+""&'*(# 7. &19+1 9+C*+1 /& %.9&"+44%=.A *+1 4(*38.+1 F ?%*+1 "&,"&1&.9+. *(1 .\8&"(1 /& 4(*38.+1 F *+1
4&*/+1 4(.9%&.&. *+1 %.9&"+44%(.&1 4(.?3./%/+1 ,+"+ /(1 4(*38.+1 /&* +""&'*( ("9('(.+*#
L4 (23) Matriz de interacciones L4
1 2 3
1 1 1 1 1 2 3
2 1 2 2 (1) 3 2
3 2 2 1 (2) 1
4 2 1 2 (3)
8/17/2019 Introducción Al Diseño Robusto TAGUCHI 2016
4/17
!"# !%&'( )*+,+ -&./(0+ !%1&2( )+'345%]
L8 (27) Matriz de interacciones L8
L12 (211) (No Interacciones)
1 2 3 4 5 6 7
1 1 1 1 1 1 1 1
2 1 1 1 2 2 2 2
3 1 2 2 1 1 2 2
4 1 2 2 2 2 1 1
5 2 1 2 1 2 1 2
6 2 1 2 2 1 2 1
7 2 2 1 1 2 2 1
8 2 2 1 2 1 1 2
1 2 3 4 5 6 7
(1) 3 2 5 4 7 6
(2) 1 6 7 4 5
(3) 7 6 5 4
(4) 1 2 3
(5) 3 2
(6) 1
(7)
1 2 3 4 5 6 7 8 9 10 11
1 1 1 1 1 1 1 1 1 1 1 1
2 1 1 1 1 1 2 2 2 2 2 2
3 1 1 2 2 2 1 1 1 2 2 2
4 1 2 1 2 2 1 2 2 1 1 2
5 1 2 2 1 2 2 1 2 1 2 1
6 1 2 2 2 1 2 2 1 2 1 1
7 2 1 2 2 1 1 2 2 1 2 1
8 2 1 2 1 2 2 2 1 1 1 2
9 2 1 1 2 2 2 1 2 2 1 1
10 2 2 2 1 1 1 1 2 2 1 2
11 2 2 1 2 1 2 1 1 1 2 2
12 2 2 1 1 2 1 2 1 2 2 1
8/17/2019 Introducción Al Diseño Robusto TAGUCHI 2016
5/17
!"# !%&'( )*+,+ -&./(0+ !%1&2( )+'345%W
L16 (215)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
3 1 1 1 2 2 2 2 1 1 1 1 2 2 2 2
4 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1
5 1 2 2 1 1 2 2 1 1 2 2 1 1 2 26 1 2 2 1 1 2 2 2 2 1 1 2 2 1 1
7 1 2 2 2 2 1 1 1 1 2 2 2 2 1 1
8 1 2 2 2 2 1 1 2 2 1 1 1 1 2 2
9 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2
10 2 1 2 1 2 1 2 2 1 2 1 2 1 2 1
11 2 1 2 2 1 2 1 1 2 1 2 2 1 2 1
12 2 1 2 2 1 2 1 2 1 2 1 1 2 1 2
13 2 2 1 1 2 2 1 1 2 2 1 1 2 2 1
14 2 2 1 1 2 2 1 2 1 1 2 2 1 1 2
15 2 2 1 2 1 1 2 1 2 2 1 2 1 1 2
16 2 2 1 2 1 1 2 2 1 1 2 1 2 2 1
Matriz de interacciones L16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
(1) 3 2 5 4 7 6 9 8 11 10 13 12 15 14
(2) 1 6 7 4 5 10 11 8 9 14 15 12 13
(3) 7 6 5 4 11 10 9 8 15 14 13 12
(4) 1 2 3 12 13 14 15 8 9 10 11
(5) 3 2 13 12 15 14 9 8 11 10
(6) 1 14 15 12 13 10 11 8 9
(7) 15 14 13 12 11 10 9 8
(8) 1 2 3 4 5 6 7(9) 3 2 5 4 7 6
(10) 1 6 7 4 5
(11) 7 6 5 4
(12) 1 2 3
(13) 3 2
(14) 1
D0$-12"8"13/$ +1310(# 6(0( 01(#"?(0 ,3 2"%15$ 21 6(0E81/0$ 0$F,%/$
6# 7*&'%" *(1 ?+49("&1 /& 4(.9"(* F 131 .%B&*&1
P# 7*&'%" 3. +""&'*( ("9('(.+* +,"(,%+/( ,+"+ *(1 ?+49("&1 /& 4(.9"(* I>""&'*( %.9&".(J
Z# !&9&"8%.+" *(1 ?+49("&1 /& "3%/( F 13 /%1&2( &;,&"%8&.9+* I>""&'*( &;9&".(J
]# L&+*%0+" &* &;,&"%8&.9( &8,*&+./( &* 4(.D3.9( 4(8,*&9( /& B+*("&1 /& 4(.?%'3"+4%=. /& ?+49("&1
/& "3%/( &. 4+/+ 4(8C%.+4%=. /& B+*("&1 /& 4(.?%'3"+4%=. /& ?+49("&1 /& 4(.9"(* I&. 4+/+ 4(""%/+J#
8/17/2019 Introducción Al Diseño Robusto TAGUCHI 2016
6/17
!"# !%&'( )*+,+ -&./(0+ !%1&2( )+'345%^
>G186#$ HI Q& "&+*%0+ 3. &;,&"%8&.9( ,+"+ /&9&"8%.+" *+ 8&D(" 8+.&"+ /& 4(.19"3%" 3. +B%=. /&
D3'3&9 7* (CD&9%B( /&* &;,&"%8&.9( &1 &.4(.9"+" *+ 4(.?%'3"+4%=. =,9%8+ /& *(1 ,+"@8&9"(1 /&
4(.9"(* R )%,( /& ,*@19%4( !&*'+/( E"3&1(_R V+"'( /&* 43&",( ` 48 6P 48aR V+"'( /& *+1 +*+1 ` 48 6P 48!R >.45( /&* 43&",( P 48 Z 487R T\8&"( /& 4*%,1 6 PNR N("8+ /& *+1 +*+1 [*+.+1 b.'3*( /& ]WX +""%C+
M.9&"+44%(.&1 /& %.9&"G1R _aA _! F >_
V+ &*&44%=. /&* +""&'*( ("9('(.+* I>UJ +/&43+/( &1 4":9%4+ ,+"+ &* G;%9( /& 3. &;,&"%8&.9( F /&,&./&
/& *+ 4+.9%/+/ /& '"+/(1 /& *%C&"9+/ "&
8/17/2019 Introducción Al Diseño Robusto TAGUCHI 2016
7/17
!"# !%&'( )*+,+ -&./(0+ !%1&2( )+'345%c
[+"+ &19& ,"(C*&8+ 1& C314+ V( 8+F(" &1 *( 8&D("R ]1
*1
log[10/2!"=i yn
RS A /(./& . &1 *+
4+.9%/+/ /& "G,*%4+1 &. 4+/+ 4(""%/+#
[+"+ &* 4+1( /& *+ 4(""%/+ 6A *+ "+0=. 1&2+* + "3%/( 1& (C9%&.&
926.8)]83.2
1
76.2
1(*
2
1[log10/
2210 =+!= RS
a+*43*+" &* "&19(#
J1%(00$##$ 13 8"3"/(F4
7*&'%" &* !%1&2(
8/17/2019 Introducción Al Diseño Robusto TAGUCHI 2016
8/17
!"# !%&'( )*+,+ -&./(0+ !%1&2( )+'345%`
714('&" *+ ,"%8&"+ (,4%=. 1% *+ +1%'.+4%=. /& *(1 ?+49("&1 + *+1 4(*38.+1 1& 5+"@ /& ?("8+ 8+.3+*A F+
!>K*C
> _ a ! 7 N >_ _a _!aUVK-T> P Z ] W d 6X 6 c ^
e+4%&./( &* +4(8(/( /& +43&"/( + *( ,"(,3&19( ,(" &* +"9:43*( /& "&?&"&.4%+
8/17/2019 Introducción Al Diseño Robusto TAGUCHI 2016
9/17
!"# !%&'( )*+,+ -&./(0+ !%1&2( )+'345%d
8/17/2019 Introducción Al Diseño Robusto TAGUCHI 2016
10/17
!"# !%&'( )*+,+ -&./(0+ !%1&2( )+'345%6X
Q% TUS>A /&C&8(1 1&*&44%(.+" *+1 (,4%(.&1 /& !"#$%&'(") +" )",$# $ -.&+'
F /"+&$) &. 01.)2$- 3'+"#' #&("$# 4$-$A 4(8( 1& 83&19"+ &. *+ 1%'3%&.9& ?%'3"+R
Q&*&44%(.+" *+ "+0=. 1&2+* + "3%/( +/&43+/+# 7. &19& 4+1( *( 8@1 '"+./& &1 8&D("A /&C%/( + *+
4+"+49&":19%4+ /& 4+*%/+/
8/17/2019 Introducción Al Diseño Robusto TAGUCHI 2016
11/17
!"# !%&'( )*+,+ -&./(0+ !%1&2( )+'345%66
:1%,#/(2$ L M0E&"-(%
21
8.5
8.0
7.5
7.0
6.5
21
21
A
R e l a c i o n e s S N
C D
1
2
B
Gráfica de interacción para Relaciones SNMedias de datos
Señal a ruido: Más grande es mejor
21
8.5
8.0
7.5
7.0
21 21
21
8.5
8.0
7.5
7.0
21 21
A
M e
d i a d e R e l a c i o n e s S N
B C
D E F
Gráfica de efectos principales para Relaciones SNMedias de datos
Señal a ruido: Más grande es mejor
8/17/2019 Introducción Al Diseño Robusto TAGUCHI 2016
12/17
!"# !%&'( )*+,+ -&./(0+ !%1&2( )+'345%6P
21
2.7
2.6
2.5
2.4
2.3
2.2
2.1
21
21
A
M e d i a s
C D
1
2
B
Gráfica de interacción para MediasMedias de datos
21
2.6
2.5
2.4
2.3
2.2
21 21
21
2.6
2.5
2.4
2.3
2.2
21 21
A
M e d i a d e M e d i a s
B C
D E F
Gráfica de efectos principales para MediasMedias de datos
8/17/2019 Introducción Al Diseño Robusto TAGUCHI 2016
13/17
!"# !%&'( )*+,+ -&./(0+ !%1&2( )+'345%6Z
Análisis de varianza de Relaciones SN
Fuente GL SC Sec. SC Ajust. CM Ajust. F P
A 1 3.7916 3.79160 3.79160 19.86 0.004
B 1 0.0677 0.06768 0.06768 0.35 0.573
C 1 9.2702 9.27017 9.27017 48.54 0.000
D 1 0.4905 0.49053 0.49053 2.57 0.160
E 1 2.1526 2.15264 2.15264 11.27 0.015
F 1 2.0896 2.08962 2.08962 10.94 0.016A*B 1 0.0066 0.00658 0.00658 0.03 0.859
B*C 1 0.8894 0.88935 0.88935 4.66 0.074
B*D 1 0.0022 0.00217 0.00217 0.01 0.919
Error residual 6 1.1458 1.14578 0.19096
Total 15 19.9061
Análisis de varianza de Medias
Fuente GL SC Sec. SC Ajust. CM Ajust. F P
A 1 0.33206 0.332064 0.332064 17.80 0.006
B 1 0.00316 0.003164 0.003164 0.17 0.695
C 1 0.72889 0.728889 0.728889 39.07 0.001
D 1 0.04676 0.046764 0.046764 2.51 0.164
E 1 0.19031 0.190314 0.190314 10.20 0.019
F 1 0.16913 0.169127 0.169127 9.07 0.024
A*B 1 0.00045 0.000452 0.000452 0.02 0.881
B*C 1 0.08051 0.080514 0.080514 4.32 0.083
B*D 1 0.00263 0.002627 0.002627 0.14 0.720
Error residual 6 0.11192 0.111922 0.018654
Total 15 1.66584
Tabla de respuesta para relaciones de señal a ruido
Más grande es mejor
Nivel A B C D E F1 8.124 7.702 6.876 7.812 8.004 7.998
2 7.150 7.572 8.398 7.462 7.270 7.276
Delta 0.974 0.130 1.522 0.350 0.734 0.723
Clasificar 2 6 1 5 3 4
Tabla de respuesta para medias
Nivel A B C D E F
1 2.583 2.453 2.225 2.492 2.547 2.541
2 2.294 2.424 2.652 2.384 2.329 2.336
Delta 0.288 0.028 0.427 0.108 0.218 0.206
Clasificar 2 6 1 5 3 4
8/17/2019 Introducción Al Diseño Robusto TAGUCHI 2016
14/17
!"# !%&'( )*+,+ -&./(0+ !%1&2( )+'345%6]
>G10-"-"$ H4
K19&/ +1&1("+ 3.+ &8,"&1+ O -+9&"%+* /&* .\4*&( I*:
8/17/2019 Introducción Al Diseño Robusto TAGUCHI 2016
15/17
!"# !%&'( )*+,+ -&./(0+ !%1&2( )+'345%6W
>G10-"-"$ N4
7. &* ,"(4&1( /& ,"(/344%=. /& ,%'8&.9(A 3.+ 4+"+49&":19%4+ %8,("9+.9& &1 13 4(*("A ,(" *( ! M PHQHRH PHQNRN PNQHRN PNQNRH
6 6 6 6 6 6 6 Z^ P^ P] 6W
6 6 6 P P P P ZP ^P P] ZP
6 P P 6 6 P P Z] 6^ PW 6P
6 P P P P 6 6 6X ZX P^ ZP
P 6 P 6 P 6 P ZZ Z6 Pc PZ
P 6 P P 6 P 6 Z] ]` P^ Zd
P P 6 6 P P 6 P^ Pc 6` PXP P 6 P 6 6 P P` ]X P6 ZP
g71 4(""&49( &* /%1&2(
8/17/2019 Introducción Al Diseño Robusto TAGUCHI 2016
16/17
!"# !%&'( )*+,+ -&./(0+ !%1&2( )+'345%6^
>G10-"-"$ S4 K.+ /& *+1 4+"+49&":19%4+1 %8,("9+.9&1 &. &* ,"(4&1( /& ,"(/344%=. /& 3. ,%'8&.9( &1 13
4(*("# 7* ,"(C*&8+
8/17/2019 Introducción Al Diseño Robusto TAGUCHI 2016
17/17
!"# !%&'( )*+,+ -&./(0+ !%1&2( )+'345%6c
!"#$"%&'()*(E39%&""&0A e#A m !& *+ S+"+A L# IPX6PJ# 0(5#&)&) 6 7&)",' +" 894"-&3"(2') I)&"4&"+ &/#J# -G;%4(R -4E"+n
e%**#
-(.9'(8&"FA !# IPXXdJ# 7")&:( $(+ $($#6)&) '; "94"-&3"(2)$:.%=& 044-'$%=