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Chapter 9A. Process Capability & Statistical Quality Control  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Focus ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Basic Statistics ,[object Object],[object Object],Mean where: x i  = Observed value N  = Total number of observed values Standard Deviation   99.7% μ
Statistics and Probability ,[object Object],[object Object],[object Object],    99.7% LCL UCL  /2  /2  Prob. of Type I error
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Basic Stats
Variation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Taguchi’s View of Variation Exhibits TN8.1 & TN8.2 Traditional view  is that quality within the LS and US is good and that the cost of quality outside this range is constant, where  Taguchi view s costs as increasing as variability increases, so seek to achieve zero defects and that will truly minimize quality costs. Incremental Cost of  Variability High Zero Lower Spec Target Spec Upper Spec Traditional View Incremental Cost of  Variability High Zero Lower Spec Target Spec Upper Spec Taguchi’s View
Process Capability ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Tolerance Limits vs. Process Capability Actual Process Width  Specification Width Specification Width Actual Process Width
Process Capability Example ,[object Object],[object Object],[object Object],[object Object],[object Object]
Process Capability Index, C pk ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The Cereal Box Example ,[object Object],[object Object],[object Object],[object Object],[object Object]
Cereal Box Process Capability ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Types of Statistical Sampling ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Evidence for Investigation…
Control Limits ,[object Object],x LCL UCL
Attribute Measurements ( p -Chart) ,[object Object],[object Object],[object Object],[object Object]
Variable Measurements (x-Bar and R Charts) ,[object Object],[object Object],[object Object],[object Object],[object Object]
Acceptance Sampling vs. SPC ,[object Object],[object Object],[object Object],[object Object],3
Acceptance Sampling ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
A Single Sampling Plan ,[object Object],[object Object],[object Object]
RISK   ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Operating Characteristic Curve 9 The OCC brings the concepts of producer’s risk, consumer’s risk, sample size, and maximum defects allowed together The shape or slope of the curve is dependent on a particular combination of the four parameters n = 99 c = 4 AQL LTPD 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1 2 3 4 5 6 7 8 9 10 11 12 Percent defective Probability of acceptance  =.10 (consumer’s risk)  = .05 (producer’s risk)
Example: Acceptance Sampling 10 Zypercom, a manufacturer of video interfaces,  purchases printed wiring boards from an outside vender, Procard.  Procard has set an acceptable quality level of 1% and accepts a 5% risk of rejecting lots at or below this level.  Zypercom considers lots with 3% defectives to be unacceptable and will assume a 10% risk of accepting a defective lot. Develop a sampling plan for Zypercom and determine a rule to be followed by the receiving inspection personnel.
Developing A Single Sampling Plan ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Sampling Plan: Take a random sample of 329 units from a lot.  Reject the lot if  more than  6 units are defective. c LTPD/AQL n AQL c LTPD/AQL n AQL 0 44.890 0.052 5 3.549 2.613 1 10.946 0.355 6 3.206 3.286 2 6.509 0.818 7 2.957 3.981 3 4.890 1.366 8 2.768 4.695 4 4.057 1.970 9 2.618 5.426

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Chap 9 A Process Capability & Spc Hk

  • 1.
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7. Taguchi’s View of Variation Exhibits TN8.1 & TN8.2 Traditional view is that quality within the LS and US is good and that the cost of quality outside this range is constant, where Taguchi view s costs as increasing as variability increases, so seek to achieve zero defects and that will truly minimize quality costs. Incremental Cost of Variability High Zero Lower Spec Target Spec Upper Spec Traditional View Incremental Cost of Variability High Zero Lower Spec Target Spec Upper Spec Taguchi’s View
  • 8.
  • 9. Tolerance Limits vs. Process Capability Actual Process Width Specification Width Specification Width Actual Process Width
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23. Operating Characteristic Curve 9 The OCC brings the concepts of producer’s risk, consumer’s risk, sample size, and maximum defects allowed together The shape or slope of the curve is dependent on a particular combination of the four parameters n = 99 c = 4 AQL LTPD 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1 2 3 4 5 6 7 8 9 10 11 12 Percent defective Probability of acceptance  =.10 (consumer’s risk)  = .05 (producer’s risk)
  • 24. Example: Acceptance Sampling 10 Zypercom, a manufacturer of video interfaces, purchases printed wiring boards from an outside vender, Procard. Procard has set an acceptable quality level of 1% and accepts a 5% risk of rejecting lots at or below this level. Zypercom considers lots with 3% defectives to be unacceptable and will assume a 10% risk of accepting a defective lot. Develop a sampling plan for Zypercom and determine a rule to be followed by the receiving inspection personnel.
  • 25.

Editor's Notes

  1. 3
  2. 3
  3. 30
  4. 28
  5. 3
  6. 9
  7. 10
  8. Problems: 3, 4, 6, 7, 8, 9, 11, 13