Probability Distributions for the Deming Cost Models

Article

Kaminsky, Frank C.; Haberle, Katharine Rowse   (1995, ASQC)   Productivity Sciences, Inc., Greenfield, MA

Journal of Quality Technology    Vol. 27    No. 4
QICID: 11427    October 1995    pp. 355-362
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Article Abstract

In order to provide guidelines for inspection planning that minimize the total cost of inspection, Dr. Deming developed the k1, k2 inspection models. To date, theoretical expected values for the total cost have been published for 100 percent inspection, zero inspection and acceptance sampling, but theoretical variances and probability distributions have not. In this paper, the theory of compound distributions is used to develop the probability distribution of total cost for 100 percent inspection and zero inspection and to obtain the expected value and variance of total cost for 100 percent inspection, zero inspection, and acceptance sampling. The models are then verified with the use of computer simulation.

Keywords

Acceptance sampling,One-hundred percent (100%) inspection,Inspection,Statistics


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