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A cost-effective skip-lot sampling scheme using loss-based capability index for product acceptance determination

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  • Wu, Chien-Wei
  • Wang, Zih-Huei

Abstract

Acceptance sampling plans are essential for quality control and assurance, empowering businesses to make well-informed decisions regarding lot disposition. Among these plans, the skip-lot sampling plan (SkSP) stands out as a cost-effective strategy for suppliers with consistently excellent product quality. In this article, we present an enhanced version of the SkSP, termed Cpm-based SkSP-RGSP, which incorporates a repetitive group sampling plan (RGSP) using the Taguchi capability index Cpm as its reference plan. We develop an optimization model to ensure that the proposed plan meets a two-point condition in its operating characteristic function and effectively minimizes the average sample number (ASN). Through investigations of two critical performance measures, ASN and discriminatory power, we demonstrate the superiority of our plan over conventional sampling approaches. Detailed plan parameters, including required sample size and lot sentencing criteria, are provided to assist examiners in practical implementation. Additionally, we showcase the plan's applicability and practicality through a case study. This research contributes to the field of quality control by offering an efficient and cost-effective sampling scheme for lot disposition.

Suggested Citation

  • Wu, Chien-Wei & Wang, Zih-Huei, 2024. "A cost-effective skip-lot sampling scheme using loss-based capability index for product acceptance determination," International Journal of Production Economics, Elsevier, vol. 273(C).
    • Handle: RePEc:eee:proeco:v:273:y:2024:i:c:s0925527324001385
    DOI: 10.1016/j.ijpe.2024.109281
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    References listed on IDEAS

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    1. 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.
    2. Franco, Bruno Chaves & Celano, Giovanni & Castagliola, Philippe & Costa, Antonio Fernando Branco, 2014. "Economic design of Shewhart control charts for monitoring autocorrelated data with skip sampling strategies," International Journal of Production Economics, Elsevier, vol. 151(C), pages 121-130.
    3. Chien-Wei Wu & Amy H. I. Lee & Yi-San Huang, 2022. "Developing a skip-lot sampling scheme by variables inspection using repetitive sampling as a reference plan," International Journal of Production Research, Taylor & Francis Journals, vol. 60(10), pages 3018-3030, May.
    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 & 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.
    6. W L Pearn & Chien-Wei Wu, 2006. "Variables sampling plans with PPM fraction of defectives and process loss consideration," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(4), pages 450-459, April.
    7. 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.
    8. 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.
    9. Chien-Wei Wu & Zih-Huei Wang & Ming-Hung Shu, 2015. "A lots-dependent variables sampling plan considering supplier’s process loss and buyer’s stipulated specifications requirement," International Journal of Production Research, Taylor & Francis Journals, vol. 53(20), pages 6308-6319, October.
    10. 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.
    11. Chien-Wei Wu & Muhammad Aslam & James C. Chen & Chi-Hyuck Jun, 2015. "A repetitive group sampling plan by variables inspection for product acceptance determination," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 9(3), pages 308-326.
    12. Bi-Min Hsu & Chien-Wei Wu & Ming-Hung Shu, 2008. "Generalized confidence intervals for the process capability index C pm," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 68(1), pages 65-82, June.
    13. 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.
    14. Pearn, W.L. & Wu, Chien-Wei, 2007. "An effective decision making method for product acceptance," Omega, Elsevier, vol. 35(1), pages 12-21, February.
    15. Tomohiro, Ryosuke & Arizono, Ikuo & Takemoto, Yasuhiko, 2020. "Economic design of double sampling Cpm control chart for monitoring process capability," International Journal of Production Economics, Elsevier, vol. 221(C).
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