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An efficient inspection scheme for variables based on Taguchi capability index

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  • Wu, Chien-Wei

Abstract

Acceptance sampling has been one of practical tools for quality assurance applications, which provide a general rule to the producer and the consumer for product acceptance determination. It has been shown that variables sampling plans requires less sampling compared with attributes sampling plans. Thus, variables sampling plans become more attractive and desirable especially when the required quality level is very high or the allowable fraction non-conforming is very small. This paper attempts to develop an efficient and economic sampling scheme, variables repetitive group sampling plan, by incorporating the concept of Taguchi loss function. The OC curve of the proposed plan is derived based on the exact sampling distribution and the plan parameters are determined by minimizing the average sample number with two constraints specified by the producer and the consumer. The efficiency of the proposed variables RGS is examined and also compared with the existing variables single sampling plan in terms of the sample size required for inspection. In addition, tables of the plan parameters for various combinations of entry parameters are provided and an example is presented for illustration.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:223:y:2012:i:1:p:116-122
    DOI: 10.1016/j.ejor.2012.06.023
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    References listed on IDEAS

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    1. S. Balamurali & Chi-hyuck Jun, 2006. "Repetitive group sampling procedure for variables inspection," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(3), pages 327-338.
    2. 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.
    3. Balamurali, S. & Jun, Chi-Hyuck, 2007. "Multiple dependent state sampling plans for lot acceptance based on measurement data," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1221-1230, August.
    4. S. Balamurali & Chi-Hyuck Jun, 2009. "Designing of a variables two-plan system by minimizing the average sample number," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(10), pages 1159-1172.
    5. 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.
    6. 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.
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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).
    5. CHEN, Piao & YE, Zhi-Sheng, 2018. "A systematic look at the gamma process capability indices," European Journal of Operational Research, Elsevier, vol. 265(2), pages 589-597.
    6. Pérez-González, Carlos J. & Fernández, Arturo J. & Kohansal, Akram, 2020. "Efficient truncated repetitive lot inspection using Poisson defect counts and prior information," European Journal of Operational Research, Elsevier, vol. 287(3), pages 964-974.
    7. Kuen-Suan Chen & Hsi-Tien Chen & Tsang-Chuan Chang, 2017. "The construction and application of Six Sigma quality indices," International Journal of Production Research, Taylor & Francis Journals, vol. 55(8), pages 2365-2384, April.
    8. 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).
    9. Farooq, Muhammad Arsalan & Kirchain, Randolph & Novoa, Henriqueta & Araujo, Antonio, 2017. "Cost of quality: Evaluating cost-quality trade-offs for inspection strategies of manufacturing processes," International Journal of Production Economics, Elsevier, vol. 188(C), pages 156-166.
    10. Shih-Wen Liu & Chien-Wei Wu, 2024. "An efficient partial sampling inspection for lot sentencing based on process yield," Annals of Operations Research, Springer, vol. 340(1), pages 325-344, September.
    11. Shih-Wen Liu & Chien-Wei Wu, 2016. "A quick switching sampling system by variables for controlling lot fraction nonconforming," International Journal of Production Research, Taylor & Francis Journals, vol. 54(6), pages 1839-1849, March.
    12. Chien-Wei Wu & Armin Darmawan & Nien-Yun Wu, 2024. "A double sampling plan for truncated life tests under two-parameter Lindley distribution," Annals of Operations Research, Springer, vol. 340(1), pages 619-641, September.

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