whytaguchimethodtip61

8/2/2019 WhyTaguchiMethodTip61

1/14

Why/When is Taguchi MethodAppropriate?

Friday, 25th May 2001

Tip #6Using Orthogonal Arrays for

Generating Balanced Combinations

of NoIsE Factors


2/14

Taguchi MethodUsing Orthogonal Arrays for Generating

Balanced Combinations of NoIsE Factors In many applications,

one can identify several NoIsE factors (with 2- or 3-levels)that could be included during the OA-based experiments

2 or 3 Noise Factors => use all factorial combinations more than 3 Noise Factors =>

all factorial combinations are too many

balanced combinations using OA just the right number

(between 4 to 9)e.g. L4 (3 NF with 2-levels) 4 combinations

L8 (upto 7 NF with 2-levels) 8 combinations


Tip #6


3/14


Balanced Combinations of NoIsE Factors In many applications,

one can identify several NoIsE factors (with 2- or

3-levels) that could be included during the OA-based experiments

2 or 3 Noise Factors =>

use all factorial combinations

(next slide)


4/14

L9 expt. with 2 Noise Factors (2-levels each)

(7) Taguchi Method for Q&R : L9 expt. with 2 noise factors

Expt.No.

1

2

34

5

6

7

8

9

1

1

12

2

2

33

3

1

2

31

2

3

12

3

1

2

33

1

2

23

1

1

2

32

3

1

31

2

E1F1 E1F2 E2F1 E2F2

Y11 Y12 Y13 Y14

Y21 Y22 Y23 Y24

Y31 Y32 Y33 Y34

Y41 Y42 Y43 Y44

Y51 Y52 Y53 Y54

Y61 Y62 Y63 Y64

Y71 Y72 Y73 Y74Y81 Y82 Y83 Y84

Y91 Y92 Y93 Y94

Measurements to Capture Noise

A B C D

Control Factors

E1F1 E1F2 E2F1 E2F2

E and F are noise factors with 2 level each

all 4 combinations are E1F1 , E1F2 , E2F1 and E2F2


5/14


Balanced Combinations of NoIsE Factors

3 Noise Factors =>

balanced combinations using OA

gives just the right number (between 4 to 9)

L4 (3 NF with 2-levels) 4 combinations

(next slide)


6/14

L9 expt. WithNoise Array


Expt.No.

1

2

34

5

6

7

8

9

1

1

12

2

2

33

3

1

2

31

2

3

12

3

1

2

33

1

2

23

1

1

2

32

3

1

31

2

A B C D

Control Factors

E1F1G1 E1F2G2 E2F1G2 E2F2G1

Y11 Y12 Y13 Y14

Y21 Y22 Y23 Y24

Y31 Y32 Y33 Y34

Y41 Y42 Y43 Y44

Y51 Y52 Y53 Y54

Y61 Y62 Y63 Y64

Y71 Y72 Y73 Y74Y81 Y82 Y83 Y84

Y91 Y92 Y93 Y94

E1F1G1 E1F2G2 E2F1G2 E2F2G1

E, F and G are noise factors with 2 level each, 4 combinations

as per L4 Array are E1F1G1 , E1F2G2, E2F1G2 and E2F2G1

Measurements to Capture Noise

EF

1 2 3 4G

1 1 2 21 2 1 2

1 2 2 1#


7/14

L9 expt.

WithNoise Array


E, F, G and H are noise factors with 3 level each,

9 combinations as per L9 Array are used for measurements #1 to #9

Measurements to CaptureNoIsEE

F

G

H

1 1 1 2 2 3 3 32

1 2 3 1 3 1 2 32

1 2 3 2 1 3 1 23

1 2 3 3 2 2 3 11

Expt.No.

1

2

34

5

6

78

9

1

1

12

2

2

33

3

1

2

31

2

3

12

3

1

2

33

1

2

23

1

1

2

32

3

1

31

2

A B C D

Control Factors

Y11 Y12 Y13 Y14 Y15 Y16 Y17 Y18 Y19

Y21 Y22 Y23 Y24 Y25 Y26 Y27 Y28 Y29

Y31 Y32 Y33 Y34 Y35 Y36 Y37 Y38 Y39

Y41 Y42 Y43 Y44 Y45 Y46 Y47 Y48 Y49

Y51 Y52 Y53 Y54 Y55 Y56 Y57 Y58 Y59

Y61 Y62 Y63 Y64 Y65 Y66 Y67 Y68 Y69

Y71 Y72 Y73 Y74 Y75 Y76 Y77 Y78 Y79

Y81 Y82 Y83 Y84 Y85 Y86 Y87 Y88 Y89

Y91 Y92 Y93 Y94 Y95 Y96 Y97 Y98 Y99

#1 #2 #3 #4 #5 #6 #7 #8 #9#1 #2 #3 #4 #5 #6 #7 #8 #9


8/14



3 or more Noise Factors =>

balanced combinations using OA

gives just the right number (between 4 to 9)

L4 (3 NF with 2-levels) 4 combinations





9/14

More Tips Links below16. Taguchi Method

1st Priority : Variance Reduction2nd Priority : Factor Effects

15. inner L9 array withouter L4 and L9 NoIsE arrays

14. Taguchi Method

inner L18 array withouter L4 and L9 NoIsE arrays

13. Taguchi Method

Why/When is TaguchiMethodnotAppropriate?

Friday, 3rd Aug 2001

Friday, 27th July 2001



Tips 12, 11, 10
http://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip16.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip15.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip15.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip15.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip14.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip14.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip14.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip13.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip13.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip13.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip13.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip13.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip13.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip13.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip14.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip14.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip14.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip14.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip15.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip15.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip15.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip15.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip16.ppt


10/14

More Tips Links below

12. Taguchi Method

inner L8 array with

outer L4 and L9 NoIsE arrays

11. Taguchi Method

Useful at ALL Life-stages of a Process or

Product

10. Taguchi Method

Performs Process centering or fine tuning


Friday, 29th June 2001

Friday, 22nd June 2001

Tips 9, 8, 7
http://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip12.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip12.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip12.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip11.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip11.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip11.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip10.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip10.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip10.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip10.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip10.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip10.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip10.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip11.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip11.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip11.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip11.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip12.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip12.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip12.ppthttp://www.ee.iitb.ac.in/~apte/Why/WhyTaguchiMethodTip12.ppt


11/14


Identifies the rightNoIsEfactor(s)for Tolerance Design

8. Taguchi Method

Finds best settings tooptimize

TWO quality characteristics Simultaneously

7. Taguchi MethodWhen to select a Larger OA to perform

Factorial Experiments



Friday, 1st June 2001

Tips 6, 5, 4


12/14


Using Orthogonal Arrays for Generating


5. Taguchi MethodSignal-to-Noise Ratio forQuality

Characteristics

approaching IDEAL value

4. Taguchi Methodimproves " quality at all the life stages

atthe design stage itself




Tips 3, 2, 1


13/14


Appropriate forConcurrent Engineering

2. Taguchi Methodcan study Interaction

between Noise Factors and Control

Factors

1. Taguchis Signal-to-Noise Ratios are in

Log form


Friday, 27th April 2001

Friday, 6th

April 2001


14/14

end

whytaguchimethodtip61

Documents