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A cost-effective sampling strategy by variables inspection for lot disposition

Author

Listed:
  • Chien-Wei Wu

    (National Tsing Hua University)

  • Zih-Huei Wang

    (Feng Chia University)

Abstract

Acceptance sampling plans are a commonly used statistical technique in quality control and assurance applications, enabling producers and consumers to make informed decisions regarding the acceptance or rejection of product lots. In contrast to traditional lot-by-lot sampling plans, skip-lot sampling plans only inspect a fraction of submitted lots and have been shown to be an efficient sampling strategy, particularly when product lots from suppliers exhibit consistent stability and high yield. This study proposes a skip-lot sampling plan by variables inspection using an advanced process capability index that combines the benefits of yield-based and loss-based indices. A mathematical model is developed to determine the plan’s parameters, with the goal of minimizing the average sample number (ASN) required for inspection while accounting for quality and risk constraints specified by both business partners. The proposed plan’s operating characteristics curve and ASN curve are thoroughly examined and compared to traditional plans. Additionally, a case study is presented to demonstrate the practical application of the proposed plan. This study also highlights the benefits of the proposed plan and emphasizes the importance of optimizing the sampling strategy for lot sentencing to improve quality control and reduce inspection costs.

Suggested Citation

  • Chien-Wei Wu & Zih-Huei Wang, 2025. "A cost-effective sampling strategy by variables inspection for lot disposition," Annals of Operations Research, Springer, vol. 349(1), pages 219-235, June.
    • Handle: RePEc:spr:annopr:v:349:y:2025:i:1:d:10.1007_s10479-023-05776-7
    DOI: 10.1007/s10479-023-05776-7
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    References listed on IDEAS

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    1. Chien-Wei Wu & Amy H. I. Lee & Yi-San Huang, 2021. "A variable-type skip-lot sampling plan for products with a unilateral specification limit," International Journal of Production Research, Taylor & Francis Journals, vol. 59(14), pages 4140-4156, July.
    2. Wu, Chien-Wei & Pearn, W.L. & Kotz, Samuel, 2009. "An overview of theory and practice on process capability indices for quality assurance," International Journal of Production Economics, Elsevier, vol. 117(2), pages 338-359, February.
    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. 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.
    5. Chien-Wei Wu & Tsai-Yu Lin, 2009. "A Bayesian procedure for assessing process performance based on the third-generation capability index," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(11), pages 1205-1223.
    6. Zih-Huei Wang & Chien-Wei Wu & Jhen-Jia Jhu, 2023. "Design and construction of a quick-switching sampling system with a third-generation capability index," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 52(11), pages 3633-3651, June.
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