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Recitation 8. OC CURVES AOQ. Review of parameters. N:Lot size n1: Sample size on the first sample c1: Acceptance # on the first sample r1: Non-acceptance # on the first sample n2: Sample size on the second sample c2:Acceptance number for both samples

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Recitation 8
Recitation 8

  • OC CURVES

  • AOQ


Review of parameters
Review of parameters

  • N:Lot size

  • n1: Sample size on the first sample

  • c1: Acceptance # on the first sample

  • r1: Non-acceptance # on the first sample

  • n2: Sample size on the second sample

  • c2:Acceptance number for both samples

  • r2: Non-acceptance number for both samples



Difference between two types of curves type a and type b
Difference between two types of curves:TYPE A AND TYPE B

  • TYPE B Curves: Lots come from a continouos stream of product, therefore the calculations are based on infinite lot size. (Binomial for evaluating, but approx. To poisson)

  • TYPE A: Probability of accepting an isolated lot. (Hypergeometric used to calculate the acceptance probabilities)


OC Curve - Operating Characteristic CurveThe OC curve shows how the probability of acceptance (y-axis) depends on the quality level (bottom axis).




Producer s risk
Producer’s Risk

  • Producer’s risk :α= Probability of non-acceptance of a conforming lot.

  • Refelected on the OC curve as Pa=1- α

  • AQL(Acceptable Quality Level): Max. Percent of nonconforming that can be considered satisfactory for the purposes of accepting sampling.


Consumer s risk
Consumer’s Risk

  • β:

  • Probability of accepting a non-conforming lot. Usually given as Probability of acceptance.

  • Usually given as 0.10.


  • Average Outgoing Quality: 100*po(Pa)

  • Quality that leaves the inspection operation.

  • Without rectification: AOQ same as incoming quality

  • In rectification: Average outgoing quality is always better than the incoming quality.








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