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An effective decision making method for product acceptance

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  • Pearn, W.L.
  • Wu, Chien-Wei

Abstract

Acceptance sampling plans are practical tools for quality assurance applications involving quality contract on product orders. The sampling plans provide the vendor and buyer decision rules for product acceptance to meet the preset product quality requirement. As the rapid advancement of manufacturing technology, suppliers require their products to be of high quality with very low fraction of defectives often measured in parts per million. Unfortunately, traditional methods for calculating fraction of defectives no longer work since any sample of reasonable size probably contains no defective product items. In this paper, we introduce an effective sampling plan based on process capability index Cpk to deal with product acceptance determination for 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 method to determine the number of required inspection units, the critical acceptance value, and make reliable decisions in product acceptance.

Suggested Citation

  • Pearn, W.L. & Wu, Chien-Wei, 2007. "An effective decision making method for product acceptance," Omega, Elsevier, vol. 35(1), pages 12-21, February.
    • Handle: RePEc:eee:jomega:v:35:y:2007:i:1:p:12-21
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    References listed on IDEAS

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    1. K. Palmer & K.-L. Tsui, 1999. "A review and interpretations of process capability indices," Annals of Operations Research, Springer, vol. 87(0), pages 31-47, April.
    2. Samuel Kotz & Wen Lea Pearn & N. L. Johnson, 1993. "Some Process Capability Indices are More Reliable than One Might Think," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 42(1), pages 55-62, March.
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    Citations

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    Cited by:

    1. Qin, Ruwen & Cudney, Elizabeth A. & Hamzic, Zlatan, 2015. "An optimal plan of zero-defect single-sampling by attributes for incoming inspections in assembly lines," European Journal of Operational Research, Elsevier, vol. 246(3), pages 907-915.
    2. 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.
    3. 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.
    4. 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.
    5. Chien-Wei Wu & Zih-Huei Wang, 2017. "Developing a variables multiple dependent state sampling plan with simultaneous consideration of process yield and quality loss," International Journal of Production Research, Taylor & Francis Journals, vol. 55(8), pages 2351-2364, April.
    6. Lepore, A. & Palumbo, B. & Castagliola, P., 2018. "A note on decision making method for product acceptance based on process capability indices Cpk and Cpmk," European Journal of Operational Research, Elsevier, vol. 267(1), pages 393-398.
    7. Lee, Amy H.I. & Wu, Chien-Wei & Wang, To-Cheng & Kuo, Ming-Han, 2024. "Construction of acceptance sampling schemes for exponential lifetime products with progressive type II right censoring," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
    8. 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.
    9. Muhammad Aslam & Mohammed Albassam, 2019. "Inspection Plan Based on the Process Capability Index Using the Neutrosophic Statistical Method," Mathematics, MDPI, vol. 7(7), pages 1-10, July.
    10. Bouslah, B. & Gharbi, A. & Pellerin, R., 2016. "Integrated production, sampling quality control and maintenance of deteriorating production systems with AOQL constraint," Omega, Elsevier, vol. 61(C), pages 110-126.

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