1. What is Robust Design or Taguchi’s method? An experimental method to achieve product and process quality through designing in an insensitivity to noise based on statistical principles.

2. History of the method Dr. Taguchi in Japan: 1949-NTT –develops “Quality Engineering” –4 time winner of Demming Award Ford Supplier Institute, early 1980s American Supplier Institute, ASI –Engineering Hall of Fame Statistics Community –DOE –S/N Ratio

3. Who uses Taguchi’s Methods Lucent Ford Kodak Xerox Whirlpool JPL ITT Toyota TRW Chrysler GTE John Deere Honeywell Black & Decker

4. Documented Results from Use 96% improvement of NiCAD battery on satellites (JPL/ NASA) 10% size reduction, 80% development time reduction and 20% cost reduction in design of a choke for a microwave oven (L.G. Electronics) $50,000 annual cost savings in design of heat staking process (Ann Arbor Assembly Corp) 60% reduction in mean response time for computer system (Lucent) $900,000 annual savings in the production of sheet-molded compound parts (Chrysler) $1.2M annual savings due to reduction in vacuum line connector failures (Flex Technologies) 66% reduction in variability in arrival time and paper orientation (Xerox) 90% reduction in encapsulation variation (LSI Corp)

5. Insensitivity to Noise Noise = Factors which the engineer can not or chooses not to control –Unit-to-unit Manufacturing variations –Aging Corrosion UV degradation wear –Environmental human interface temperature humidity

6. How Noise Affects a System

7. Step 1: Define the Project Scope 1/2 A gyrocopter design is to be published in a Sunday Comics section as a do-it-yourself project for 6-12 year old kids The customers (kids) want a product they can easily build and have a long flight time. | WW | --- WL --- BL ---- --- 1/4”

8. Step 1: Define the Project Scope 2/2 This is a difficult problem from an engineering standpoint because: –hard to get intuitive feel for effect of control variables –cant control materials, manufacturing or assembly –noise factors are numerous and have strong effect on flight.

9. Step 2: Identify Ideal Function Ideally want the most flight time (the quality characteristic or useful energy) for any input height (signal or input energy) Minimize Noise Effect Maximize Slope Drop Height Time of Flight

10. Step 3: Develop Noise Strategy 1/2 Goal is to excite worst possible noise conditions Noise factors –unit-to-unit –aging –environment

11. Step 3: Develop Noise Strategy 2/2 Noise factors –unit-to-unit Construction accuracy Paper weight and type angle of wings –aging damage from handling –environment angle of release humidity content of air wind + many, many others

12. Step 4: Establish Control Factors and Levels 1/4 Want them independent to minimize interactions –Dimensionless variable methods help –Design of experiments help –Confirm effect of interactions in Step 7 Want to cover design space –may have to guess initially and perform more than one set of experiments. Method will help determine where to go next.

13. Step 4: Establish Control Factors and Levels 2/4 Methods to explore the design space –shot-gun –one-factor-at-a-time –full factorial –orthogonal array (a type of fractional factorial)

14. Step 4: Establish Control Factors and Levels 3/4

15. Step 4: Establish Control Factors and Levels 4/4

16. Step 5: Conduct Experiment and Collect Data

17. Data for Runs 5 and 15

18. Step 6: Conduct Data Analysis 1/7 Calculate signal-to-noise-ratio (S/N) and Mean Complete and interpret response tables Perform two step optimization –Reduce Variability (minimize the S/N ratio) –Adjust the mean Make predictions about most robust configuration

19. Step 6: Conduct Data Analysis 2/7 Calculate signal to noise ratio, S/N, a metric in decibels Useful output Harmful output S/N = Effect of Mean Variability around mean = = 10 log y2y2 s2s2 Note: This is one of many forms of S/N ratios. variability S/N gain reduction 3 27% 6 50% 12 75%

20. Step 6: Conduct Data Analysis 3/7

21. Step 6: Conduct Data Analysis 4/7 Response Table

22. Step 6: Conduct Data Analysis 5/7 Response plot

23. Step 6: Conduct Data Analysis 6/7 Two Step Optimization Reduce Variability (minimize the S/N ratio) –look for control factor effects on S/N –Don’t worry about mean Adjust the mean –To get desired response –Use “adjusting factors”, those control factors which have minimal effect on S/N

24. Step 6: Conduct Data Analysis 7/7 For gyrocopter –wing width =.75in –wing length = 2.00/0.75 = 2.67 in –body length = 2.00 x 2.67 = 5.33 in –size = 50% –no body folds –no gussets Predicted Performance S/N = 9.44 dB Slope =.31 sec/ft

25. Step 7: Conduct Conformation Run To check validity of results To check for unforeseen interaction effects between control factors To check for unaccounted for noise factors To check for experimental error Predicted Confirmed S/N 9.44 dB 9.86 Slope.31sec/ft.32 sec/ft

26. How Taguchi’s Method Differs from an Ad-hoc Design Process Organized Design Space Search Clear Critical Parameter Identification Focus on Parameter Variation (Noise) Clear Stopping Criteria Robustness centered not Failure Centered Reusable Method Concurrently Addresses Manufacturing Variation Concurrent Design-Test Not Design-Test-Fix Minimize Development Time (Stops Fire Fighting) Corporate Memory Through Documentation Encourages Technology Development Through System Understanding

27. How Taguchi’s Method Differs from Traditional Design of Experiments Focused on reducing the impact of variability rather than reducing variability Focused on noise effects rather than control factor effects Clearly focused cost function - maximizing the useful energy Tries to reduce interaction between control factors rather than study them Requires little skill in statistics Usually lower cost

28. How Taguchi’s Method Differs from Shainin’s Method Focused on both Product and Process Design rather than Primarily on Process Oriented to developing a robust system not finding a problem (Red X). Taguchi tells what parameter values to set to make system insensitive to parameter Shainin identifies as needing control. Widely Used Internationally Fire prevention rather than fire fighting Accessible Many Case Studies Available

29. Plan for Application at Tektronix Select a parameter design problem Design the experiment Perform the experiment Reduce data Report results to Company Assuming success –design more experiments –train more engineers –Plan for student-run experiments