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An efficient inspection scheme for variables based on Taguchi capability index

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  • Wu, Chien-Wei
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    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.

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    File URL: http://www.sciencedirect.com/science/article/pii/S037722171200478X
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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 223 (2012)
    Issue (Month): 1 ()
    Pages: 116-122

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    Handle: RePEc:eee:ejores:v:223:y:2012:i:1:p:116-122

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    Web page: http://www.elsevier.com/locate/eor

    Related research

    Keywords: Quality control; Fraction of defectives; Loss function; Operating characteristic curve; Product acceptance determination; Quality assurance;

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
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