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A modified sampling scheme for lot sentencing based on the third-generation capability index

Author

Listed:
  • Chien-Wei Wu

    (National Tsing Hua University)

  • Armin Darmawan

    (National Tsing Hua University
    Hasanuddin University)

Abstract

The multiple sampling plan (MSP) is an extended model and has been shown to be more efficient with some cost savings associated with its usage than the single and double sampling plans. However, the variables MSP’s operating characteristic (OC) function is complex and difficult to obtain because the judgment at the current sampling should take the preceding sample information into consideration. Therefore, this study proposes the development of a modified MSP for variables inspection by considering independence between stages and integrating with the third-generation capability index. A mathematical model with two constraints is established for obtaining triple plan parameters, which satisfy the specified risk-and-quality conditions and minimize the average sample number (ASN). Additionally, we employed two generally-used performance indicators, ASN and OC curve, to evaluate the performance of the proposed model. The results show that the proposed model provides higher efficiency than the existing plan under the same settings and offers desired protection to both stakeholders. We applied the proposed model to the monocrystalline silicon wafers industry coupled with a designed graphical user interface to validate its practicability.

Suggested Citation

  • Chien-Wei Wu & Armin Darmawan, 2025. "A modified sampling scheme for lot sentencing based on the third-generation capability index," Annals of Operations Research, Springer, vol. 349(1), pages 25-46, June.
    • Handle: RePEc:spr:annopr:v:349:y:2025:i:1:d:10.1007_s10479-023-05328-z
    DOI: 10.1007/s10479-023-05328-z
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    References listed on IDEAS

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    1. Chien-Wei Wu & Armin Darmawan & Shih-Wen Liu, 2023. "Stage-independent multiple sampling plan by variables inspection for lot determination based on the process capability index Cpk," International Journal of Production Research, Taylor & Francis Journals, vol. 61(10), pages 3171-3183, May.
    2. 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.
    3. 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.
    4. Wu, Chien-Wei, 2012. "An efficient inspection scheme for variables based on Taguchi capability index," European Journal of Operational Research, Elsevier, vol. 223(1), pages 116-122.
    5. 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.
    6. Ikuo Arizono & Kazunori Yoshimoto & Ryosuke Tomohiro, 2020. "Variable stage-independent double sampling plan with screening for acceptance quality loss limit inspection scheme," International Journal of Production Research, Taylor & Francis Journals, vol. 58(8), pages 2550-2559, April.
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