why taguchi method tip 2

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Why/When is Taguchi Method Appropriate? Tip #2 Tip #2 Taguchi Method Can Study Interaction between NoIsE Factors and Control Factors Friday, 27 Friday, 27 April 2001 April 2001

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Page 1: Why Taguchi Method Tip 2

Why/When is Taguchi Method Appropriate?

Tip #2Tip #2Taguchi Method Can Study Interaction between NoIsE Factors and Control Factors

Friday, 27 April 2001Friday, 27 April 2001

Page 2: Why Taguchi Method Tip 2

• Use of Orthogonal Array implies that we can not or ought not study interactions between control factors. We include only control factors that do not interact with each other, say A, B, C A, B, C and D. D.

This is shown in next slide (use L9 array)

Taguchi Method Does not STUDY : Interaction between Control Factors

Friday, 27 April 2001

Tip #2Tip #2

Page 3: Why Taguchi Method Tip 2

Friday, 27 April 2001

Taguchi Method Does not STUDY : Interaction between Control Factors

Expt. No. Control Factor A

Control Factor B

Control Factor C

Control Factor D

1 1 1 1 1

2 1 2 2 2

3 1 3 3 3

4 2 1 2 3

5 2 2 3 1

6 2 3 1 2

7 3 1 3 2

8 3 2 1 3

9 3 3 2 1

Page 4: Why Taguchi Method Tip 2

• If there is a single control factorsingle control factor ‘R’R’ that may have strong interactions with several control factors, then we can simply repeat the entire OA experiments at twotwo different levels of ‘R’R’

This is shown in next slide (use two sets of L9 array)

• Obviously, ALL interactions, between Obviously, ALL interactions, between ‘R’‘R’ and and any one of any one of A, B, CA, B, C and and D,D, can be studied) can be studied)

Taguchi Method can study Interaction between Control Factor ‘R’‘R’ and (A, B, CA, B, C or DD)

with repeated use of OA

Friday, 27 April 2001

Page 5: Why Taguchi Method Tip 2

Taguchi Method can study Interaction between Control Factor ‘R’‘R’ and (A, B, CA, B, C or DD)

with repeated use of OASPINDLE

SPEEDExpt. No. Control Factor A Control Factor B Control Factor C Control Factor D

600 rpm 1 1 1 1 1600 rpm 2 1 2 2 2600 rpm 3 1 3 3 3600 rpm 4 2 1 2 3600 rpm 5 2 2 3 1600 rpm 6 2 3 1 2600 rpm 7 3 1 3 2600 rpm 8 3 2 1 3600 rpm 9 3 3 2 1

900 rpm 10 1 1 1 1900 rpm 11 1 2 2 2900 rpm 12 1 3 3 3900 rpm 13 2 1 2 3900 rpm 14 2 2 3 1900 rpm 15 2 3 1 2900 rpm 16 3 1 3 2900 rpm 17 3 2 1 3900 rpm 18 3 3 2 1

Friday, 27 April 2001

Page 6: Why Taguchi Method Tip 2

• If there is a single noise factorsingle noise factor ‘X’X’ that may have strong correlation with several control factors, then we can simply repeat the entire OA experiments at twotwo different levels of ‘X’‘X’

This is shown in next slide (use two sets of L9 array)

• Obviously, ALL correlations between Obviously, ALL correlations between ‘X’‘X’ and and any one of any one of A, B, CA, B, C and and DD can be studied can be studied

Taguchi Method can study Interaction between a Noise Factor ‘X’Noise Factor ‘X’ and (A, B, CA, B, C or DD)

with repeated use of OA

Friday, 27 April 2001

Page 7: Why Taguchi Method Tip 2

Taguchi Method can study Interaction between a Noise Factor ‘X’Noise Factor ‘X’ and (A, B, CA, B, C or DD)

with repeated use of OAMaterial Hardness

Expt. No. Control Factor A Control Factor B Control Factor C Control Factor D

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

HARD 10 1 1 1 1HARD 11 1 2 2 2HARD 12 1 3 3 3HARD 13 2 1 2 3HARD 14 2 2 3 1HARD 15 2 3 1 2HARD 16 3 1 3 2HARD 17 3 2 1 3HARD 18 3 3 2 1

Friday, 27 April 2001

Page 8: Why Taguchi Method Tip 2

Taguchi Method can study Interaction between a Noise Factor ‘X’Noise Factor ‘X’ and (A, B, CA, B, C or DD)

with repeated use of OA

• The OA based experiments, say L9 as in this example, require that two samples are made for each row (each row indicates one combination of control factors A, B, C and D)

• The measured values of quality characteristics are noted for that row

• Analysis then gives ‘best’ settings for control factors A, B, C and D that would give least sensitivity to the noise factor, say hardness as in this example

Friday, 27 April 2001

Page 9: Why Taguchi Method Tip 2

This ISIS equivalent to the repeated use of OA shown earlier

Expt. No. Control Factor A

Control Factor B

Control Factor C

Control Factor D

 Level 1

 Level 2

1 /10 1 1 1 1 Soft HARD

2 /11

1 2 2 2 Soft HARD

3 /12 1 3 3 3 Soft HARD

4 /13 2 1 2 3 Soft HARD

5 /14 2 2 3 1 Soft HARD

6 /15 2 3 1 2 Soft HARD

7 /16 3 1 3 2 Soft HARD

8 /17 3 2 1 3 Soft HARD

9 /18 3 3 2 1 Soft HARD

NOISE FACTORMaterial Hardness

Friday, 27 April 2001

Page 10: Why Taguchi Method Tip 2

More Tips More Tips Links belowLinks below

16. Taguchi Method 1st Priority : VVaarriiaanncce e RReedduuccttiioonn

2nd Priority : Factor EffectsFactor Effects

15. “inner”“inner” L9 array with “outer”“outer” L4 and L9 NoIsE arrays

14. Taguchi Method ““inner”inner” L18 array with “outer”“outer” L4 and L9 NoIsE arrays

13. Taguchi Method Why/When is Taguchi Method not not Appropriate?

Friday, 3rd Aug 2001

Friday, 27th July 2001

Friday, 20th July 2001

Friday, 13th July 2001

Tips 12, 11, 10 Tips 12, 11, 10

Page 11: Why Taguchi Method Tip 2

More Tips More Tips Links belowLinks below

12. Taguchi Method

““inner”inner” L8 array with “outer”“outer” L4 and L9 NoIsE arrays

11. Taguchi Method

Useful at ALL Life-stagesALL Life-stages of a Process or Product

10. Taguchi MethodPerforms Process “centering”“centering” or “fine tuning”“fine tuning”

Friday, 6th July 2001

Friday, 29th June 2001

Friday, 22nd June 2001

Tips 9, 8, 7 Tips 9, 8, 7

Page 12: Why Taguchi Method Tip 2

More Tips More Tips Links belowLinks below

9. Taguchi Method Identifies the “right” NNooIIssEE factor(s) for Tolerance DesignTolerance Design

10. Taguchi MethodFinds best settings to optimize TWO quality characteristics Simultaneously

7. Taguchi MethodWhen to select a ‘Larger’ OA to perform “Factorial Experiments”

Friday, 15th June 2001

Friday, 8th June 2001

Friday, 1st June 2001

Tips 6, 5, 4 Tips 6, 5, 4

Page 13: Why Taguchi Method Tip 2

More Tips More Tips Links belowLinks below

6. Taguchi Method Using Orthogonal Arrays for Generating Balanced Combinations of NoIsE Factors

5. Taguchi Method Signal-to-Noise Ratio for Quality Characteristics approaching IDEAL valueapproaching IDEAL value

4. Taguchi Method improves " quality “ at all the life stages at the design stage itselfthe design stage itself

Friday, 25th May 2001

Friday, 18th May 2001

Friday, 11th May 2001

Tips 3, 2, 1 Tips 3, 2, 1

Page 14: Why Taguchi Method Tip 2

More Tips More Tips Links belowLinks below

3. Taguchi Method Appropriate for Concurrent EngineeringConcurrent Engineering

2. Taguchi Method can study Interaction between Noise Factors Noise Factors and Control Control

FactorsFactors

1. Taguchi’s Signal-to-Noise RatiosSignal-to-Noise Ratios are in

Log formLog form

Friday, 4th May 2001

Friday, 27th April 2001

Friday, 6th April 2001

Page 15: Why Taguchi Method Tip 2

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