Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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A minimum cost sampling inspection plan for destructive testing

破壤檢査詩의 最小費용 샘플링 檢査方式

  • 趙星九 ;
  • 裵道善
  • Published : 1978.06.01
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Abstract

This paper deals with the problem of obtaining a minimum cost acceptance sampling plan for destructive testing. The cost model is constructed under the assumption that the sampling procedure takes the following form; 1) lots rejected on the first sample are acreened with a non-destructive testing, 2) the screening is assumed to be imperfect, and therefore, after the screening, a second sample is taken to determine whether to accept the lot of to scrap it. The usual sampling procedures for destructive testing can be regarded as special cases of the above one. Utilizing Hald's Bayesian approach, procedures for finding the global optimal sampling plans are given. However, when the lot size is large, the global plan is very different to obtain even with the aid of an electronic computer. Therefore a method of finding suboptimal plan is suggested. An example with uniform prior is also given.

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References

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