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A modified variables repetitive group sampling plan with the consideration of preceding lots information

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  • Amy Lee
  • Chien-Wei Wu
  • Yen-Wen Chen

Abstract

Various acceptance sampling plans have been developed for different objectives. A repetitive group sampling (RGS) plan has been shown to be an efficient and easy-to-implement scheme for lot sentencing. However, it does not consider the available information from preceding samples. As a result, it may reduce the sampling efficiency in terms of cost and time. In this study, a modified variables RGS plan is proposed based on the commonly used capability index $$C_{pk}$$ C p k for normally distributed processes with two-sided specification limits and to consider the sample results from preceding lots. The plan parameters for various required quality levels and allowable risks are tabulated for practical applications, and the advantages of the proposed plan is compared with existing variables sampling plans in terms of operating characteristic curve and average sample size. Copyright Springer Science+Business Media New York 2016

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:238:y:2016:i:1:p:355-373:10.1007/s10479-015-2064-5
    DOI: 10.1007/s10479-015-2064-5
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    References listed on IDEAS

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    2. Wu, Chien-Wei & Pearn, W.L., 2008. "A variables sampling plan based on Cpmk for product acceptance determination," European Journal of Operational Research, Elsevier, vol. 184(2), pages 549-560, January.
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    Cited by:

    1. Kuen-Suan Chen & Tsang-Chuan Chang, 2022. "Fuzzy testing model for the lifetime performance of products under consideration with exponential distribution," Annals of Operations Research, Springer, vol. 312(1), pages 87-98, May.
    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. Ching-Ho Yen & Chun-Chia Lee & Kuo-Hung Lo & Yeou-Ren Shiue & Shu-Hua Li, 2020. "A Rectifying Acceptance Sampling Plan Based on the Process Capability Index," Mathematics, MDPI, vol. 8(1), pages 1-12, January.
    4. To-Cheng Wang & Chien-Wei Wu & Ming-Hung Shu, 2022. "A variables-type multiple-dependent-state sampling plan based on the lifetime performance index under a Weibull distribution," Annals of Operations Research, Springer, vol. 311(1), pages 381-399, April.

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