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Critical acceptance values and sample sizes of a variables sampling plan for very low fraction of defectives

Author

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  • Pearn, W.L.
  • Wu, Chien-Wei

Abstract

Acceptance sampling plans are practical tools for quality control applications, which involve quality contracting on product orders between the vendor and the buyer. Those sampling plans provide the vendor and the buyer rules for lot sentencing while meeting their preset requirements on product quality. In this paper, we introduce a variables sampling plan for unilateral processes based on the one-sided process capability indices CPU (or CPL), to deal with lot sentencing problem with very low fraction of defectives. The proposed new sampling plan is developed based on the exact sampling distribution rather than approximation. Practitioners can use the proposed sampling plan to determine accurate number of product items to be inspected and the corresponding critical acceptance value, to make reliable decisions. We also tabulate the required sample size n and the corresponding critical acceptance value C0 for various [alpha]-risks, [beta]-risks, and the levels of lot or process fraction of defectives that correspond to acceptable and rejecting quality levels.

Suggested Citation

  • Pearn, W.L. & Wu, Chien-Wei, 2006. "Critical acceptance values and sample sizes of a variables sampling plan for very low fraction of defectives," Omega, Elsevier, vol. 34(1), pages 90-101, January.
    • Handle: RePEc:eee:jomega:v:34:y:2006:i:1:p:90-101
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    Citations

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    Cited by:

    1. Wu, Chien-Wei & Aslam, Muhammad & Jun, Chi-Hyuck, 2012. "Variables sampling inspection scheme for resubmitted lots based on the process capability index Cpk," European Journal of Operational Research, Elsevier, vol. 217(3), pages 560-566.
    2. Chien-Wei Wu & Ming-Hung Shu & Pei-An Wang & Bi-Min Hsu, 2021. "Variables skip-lot sampling plans on the basis of process capability index for products with a low fraction of defectives," Computational Statistics, Springer, vol. 36(2), pages 1391-1413, June.
    3. Amy Lee & Chien-Wei Wu & Yen-Wen Chen, 2016. "A modified variables repetitive group sampling plan with the consideration of preceding lots information," Annals of Operations Research, Springer, vol. 238(1), pages 355-373, March.
    4. Amy H. I. Lee & Chien-Wei Wu & Yen-Wen Chen, 2016. "A modified variables repetitive group sampling plan with the consideration of preceding lots information," Annals of Operations Research, Springer, vol. 238(1), pages 355-373, March.

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