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

Author

Listed:
  • Amy H. I. Lee

    (Chung Hua University)

  • Chien-Wei Wu

    (National Tsing Hua University)

  • Yen-Wen Chen

    (National Tsing Hua University)

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.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:238:y:2016:i:1:d: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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    Cited by:

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    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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