DOE Full factorial

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  1. 1. 1 Improving Quality Give a small boy a hammer, and he will find that everything he encounters needs pounding." Abraham Kaplan (1964) Mark Twain, somewhat earlier More Tools = Greater success Copyright 2010 Monty Webb. All rights reserved.
  2. 2. 2 Main tools for quality improvement Classical Taguchi Shainin Six Sigma Lean Manufacturing Poka-Yoke TRIZ
  3. 3. 3 Classical SPC Full Factorial Designs ( 7 variables = 128 tests) Anova f-Test Probability curve applied to different process distributions
  4. 4. 4 Taguchi Robust Design Consistent output even with some uncontrolled noise Fractional Factorial Designs
  5. 5. 5 Shainin Dorian Shainin developed a series of problem solving tools only taught by his consulting groups Multi-Vari charts Full Factorials B vs. C (using Tukey End Count) Scatter Plots Pre-contol
  6. 6. 6 Six Sigma Attempt to control each individual process so tight that a drift of 1.5 sigma will not create any rejects to the agreed specification (Motorola started, GE jumped on it). ...In fact, of 58 large companies that have announced Six Sigma programs, 91 percent have trailed the S&P 500 since, according to an analysis by Charles Holland of consulting firm Qualpro (which espouses a competing quality- improvement process).
  7. 7. 7 Six Sigma
  8. 8. 8 Lean Manufacturing The four goals of Lean manufacturing systems are to: * Improve quality * Eliminate waste * Reduce time * Reduce total costs
  9. 9. 9 Poka-Yoke (Mistake proofing) Examples of 'attention-free' Poke Yoke solutions: 1) a jig that prevents a part from being misoriented during loading 2) non-symmetrical screw hole locations that would prevent a plate from being screwed down incorrectly 3) electrical plugs that can only be inserted into the correct outlets 4) notches on boards that only allow correct insertion into edge connectors 5) a flip-type cover over a button that will prevent the button from being accidentally pressed
  10. 10. 10 TRIZ, a theory of Invention Altshuller screened over 1,500,000 patents looking for inventive problems and how they were solved. Only 40,000 had somewhat inventive solutions; the rest were just improvements. Altshuller more clearly defined an inventive problem as one in which the solution causes another problem to appear, such as increasing the strength of a metal plate causing its weight to get heavier. Usually, inventors must resort to a trade-off and compromise between the features and thus do not achieve an ideal solution. In his study of patents, he found that many described a solution that eliminated or resolved the contradiction and required no trade-off.
  11. 11. 11 TRIZ Altshuller categorized these patents in a novel way. Instead of classifying them by industry, such as automotive, aerospace, etc., he removed the subject matter to uncover the problem solving process. He found that often the same problems had been solved over and over again using one of only forty fundamental inventive principles. If only later inventors had knowledge of the work of earlier ones, solutions could have been discovered more quickly and efficiently.
  12. 12. 12 TRIZ
  13. 13. 13 TRIZ My Problem Previously well- solved Problems Analogous solutions from Patents in different fields 1 2 3 4 5 1 2 3 4 5 n40 . . . . . . My Solution Triz Prizm
  14. 14. 14 TRIZ Example, a problem in using artificial diamonds for tool making is the existence of invisible fractures. Traditional diamond cutting methods often resulted in new fractures which did not show up until the diamond was in use. What was needed was a way to split the diamond crystals along their natural fractures without causing additional damage.
  15. 15. 15 TRIZ A method used in food canning to split green peppers and remove the seeds was used. In this process, peppers are placed in a hermetic chamber to which air pressure is increased to 8 atmospheres. The peppers shrink and fracture at the stem. Then the pressure is rapidly dropped causing the peppers to burst at the weakest point and the seed pod to be ejected. A similar technique applied to diamond cutting resulted in the crystals splitting along their natural fracture lines with no additional damage.
  16. 16. 16
  17. 17. 17 Classical Detailed Review SPC Full Factorial Designs ( 7 variables = 128 tests) Anova f-Test Probability curve applied to different process distributions
  18. 18. 18 Classical Normal curve and Ogive curve 0 5 0 1 0 0 1 5 0 2 0 0 2 5 0 3 0 0 0 5 1 0 1 5 2 0 2 5 3 0 3 0 5 0 7 0 # o f H e a d s in t r ia l 1 0 0 c o in t o s s e s , r e p e a t 2 5 0 t im e s , # o f H e a d s b e ll C U M
  19. 19. 19 Classical Normal Cumulative Distribution 1 5 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 9 5 9 9 - 3 - 1 .5 0 1 .5 3 3 0 5 0 7 0 Cum% N u m b e r o f H e a d s R e s u lt s o f c o in f lip s C u m % Log expanding From 50% in both directions
  20. 20. 20 1 5 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 9 5 9 9 - 3 - 1 .5 0 1 .5 3 3 0 5 0 7 0 Cum% Converting the S curve to a straight line opens up many new insights C u m %
  21. 21. 21 1 5 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 9 5 9 9 - 3 - 1 .5 0 1 .5 3 3 0 5 0 7 0 Cum% Truncation of Data in Green Fibbing going on C u m %
  22. 22. 22 Truncation of Data in Green Fibbing going on This shows screening to a specifcation tighter than production capability. (cherry picking) If the process drifts just a little, you will get no parts. This could be found at incoming QC on parts from a supplier. It also could occur in your oun process where there is a rework for parts above or below some limits, and operators speed up by never finding out of spec parts. They never shut the process down as they should do in a controlled process.
  23. 23. 23 1 5 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 9 5 9 9 - 3 - 1 .5 0 1 .5 3 3 0 5 0 7 0 Cum% Variation due to two distributions with different Std. Dev. , but the same means mixed together C u m %
  24. 24. 24 1 5 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 9 5 9 9 - 3 - 1 .5 0 1 .5 3 3 0 5 0 7 0 Cum% Output of two different distributions with the same std. Dev.(slope), but different means C u m %
  25. 25. 25 Shainin Detailed Review Dorian Shainin developed a series of problem solving tools only taught by his consulting groups Multi-Vari charts Full Factorials B vs. C (using Tukey End Count) Scatter Plots Pre-contol
  26. 26. 26 Summary
  27. 27. 27 Pre-Control
  28. 28. 28 Pre-control Pre-control: use of chart 1. Start process: five consecutive units in green needed as validation of set-up. 2. If not possible: improve process. 3. In production: 2 consecutive units 4. Frequency: time interval between two stoppages / 6.
  29. 29. 29 Evaporator #2 after crystal position change L C F a b L i m i t e d Q u a lity P r e s e n t a tio n E V A P O R A T O R N o 2 : N ic k e l a ft e r C r y s t a l P o s it io n c h a n g e 0 . 2 5 0 0 . 2 7 5 0 . 3 0 0 0 . 3 2 5 0 . 3 5 0 0 . 3 7 5 0 . 4 0 0 0 . 4 2 5 0 . 4 5 0 0 . 4 7 5 0 . 5 0 0 0 . 5 2 5 0 . 5 5 0 R U N N o THICKNESSmicrons
  30. 30. 30 Shainin Clue Generation Tools Clue-Generation Tools Start with 20 to 1000 variables And they are reduced down to 20 or fewer Multi-Vari Chart Paired Comparisons Product/ Process Search Components Search Concentration Chart
  31. 31. 31 Multi-vari Chart The Multi-Vari Chart graphically shows variation of a quality characteristic for multiple factors. The purpose of the chart is to permit identification of the factors having the greatest effect on variability. An injection molding process produced plastic cylindrical connectors. Two parts collected hourly from four mold cavities for three hours consisting of measurements at three locations on the parts. The figure shows that cavities 2,3 and 4 had larger diameters at the ends (top and bottom) while cavity 1 had a taper. Thus, cavity and location have an interacting effect.
  32. 32. 32 Mult-vari
  33. 33. 33 Paired Comparisons BOB vs. WOW Best of the Best compared to Worst of the Worst
  34. 34. 34 BOB,WOW sample
  35. 35. 35 Tukey test procedure Rank individual units by parameter and indicate Good / Bad. Count number of all good or all bad from one side and vice versa from other side. Make sum of both counts. Determine confidence level to evaluate significance.
  36. 36. 36 Tukey test confidence levels for Tukey End Count Total End Count Confidence 6 90% 7 95% 10 99% 13 99.9%
  37. 37. 37 Tukey test: example =7 GOOD BAD 0.007 0.011 0.014 0.015 TOP end count. All good 4 0.017 0.018 0.019 0.022 0.016 0.017 0.018 0.019 0.021 }overlap region 0.023 0.023 0.024 Bottom end count. All bad 3
  38. 38. 38 Inverted End Count
  39. 39. 39 Results
  40. 40. 40 Formal DOE Tools 4 or fewer variables Response surface Methodology Scatter plots B vs. C Variables search Full Factorials 5 to 20 variables 1 variable Root causes distilled Interactions presentNo interactions Optimization
  41. 41. 41 Full-Factorial A Semiconductor company was developing a new high voltage process A double base containing both Boron and Gallium was proposed The control on the gallium was so critical, that a very expensive Ion-Implant was one of the factors to consider, along with a novel approach to reduce the gallium concentration with low cost in-house chemicals
  42. 42. 42 A l u m i n u m D i f f u s i o n s , L i g h t B a s e P r o c e s s 1 0 1 0 0 1 0 0 0 1 0 0 0 0 1 2 3 4 5 6 7 8 9 1 0 1 1 A r g o n 1 2 5 0 C D e p , 9 0 m in N 2 @ 1 2 0 0 s tm -s tr ip & d r iv e a t 1 2 5 0 N 2 O 2 R e s is tiv ity R a n g e fo r 1 9 0 0 v - 2 2 0 0 v N 2 1 2 5 0 C Aluminum, light base study
  43. 43. 43 Full-Factorial The questions to answer were Can we make the required voltage with ion implant? And Can we find our own low cost process? The following 4 factor, 2 level DOE was run
  44. 44. 44 Anova for 4 Variables, 2 Levels
  45. 45. 45 Check to be sure results are not just random 1 5 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 9 5 9 9 - 3 - 1 .5 0 1 .5 3 - 5 0 0 0 - 2 5 0 0 0 2 5 0 0 5 0 0 0 Cum% D O E m a in s + in te r a c tio n s s c o r e s H o w t o i n t e r p r e t D O E r e s u l t s A B is f a rt h e s t f ro m b e s t f it
  46. 46. 46 Interaction, ab Gallium process vs. Drive gases Best voltage was A- and B+, very costly implant and argon BUT- with the right gases, the combination of A+ and B- produce acceptable voltage 1 5 0 0 2 0 0 0 2 5 0 0 3 0 0 0 B - ( N 2 + s t e a m ) B + ( A r g o n + H 2 ) V o l t a g e A - ( I m p la n t ) A + ( in - h o u s e )
  47. 47. 47 Transition to SPC Maintenance Pre-control Positrol Process certification Safeguard the gains
  48. 48. 48 L C F a b L i m i t e d Q u a lity P r e s e n ta tio n All key processes are monitored Problem areas are shaded
  49. 49. 49 Processes where a DOE resulted in a process change are monitored To make sure gains are realized. Chart is marked where change occurred and what changed.
  50. 50. 50 It looked OK at first, just as in the tests. But then the yield dropped dramatically. Production was stopped until the unknown issue was resolved. That took 3 days. A quick look at some best runs vs. worst runs showed Mesa etch depth was the main difference. All were in specification, but those with the deeper mesa were better on voltage. The original tests came through during a time the etch was running to the deep side of the spec. Goal was to improve 1200 volt yield DOE's were run and a deeper base with a longer base drive looked very good. Process was changed.
  51. 51. 51 Problems are commented on as Unknown, or Identified- Procedure changed on xx/xx/xxx Chart is marked where change occurred and what changed. Identified-Mesa etch depth not adjusted for deeper base as needed for high voltage program Procedure changed on 02/17/2005 Chart is marked where change occurred and what changed.
  52. 52. 52 Summary