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Variable sampling plans for normal distribution indexed by Taguchi's loss function

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  • Ikuo Arizono
  • Akihiro Kanagawa
  • Hiroshi Ohta
  • Kyouko Watakabe
  • Kouji Tateishi

Abstract

Taguchi has presented an approach to quality improvement in which reduction of deviation from the target value is the guiding principle. In this approach any measured value x of a product characteristic X brings a loss to consumer in general, where the loss is expressed as a quadratic form with respect to the difference between the measured value x and the target value T of a product characteristic. Then, it is natural to reject the lot which may bring a large loss to consumer. This concept induces us to construct new variable sampling plans based on the Taguchi's loss criterion. In this article, a design procedure of the sampling plans for assuring the loss in the Taguchi's method is proposed. Some numerical results based on the proposed design procedures are illustrated. © 1997 John Wiley & Sons, Inc. Naval Research Logistics 44: 591–603 (1997)

Suggested Citation

  • Ikuo Arizono & Akihiro Kanagawa & Hiroshi Ohta & Kyouko Watakabe & Kouji Tateishi, 1997. "Variable sampling plans for normal distribution indexed by Taguchi's loss function," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(6), pages 591-603, September.
  • Handle: RePEc:wly:navres:v:44:y:1997:i:6:p:591-603
    DOI: 10.1002/(SICI)1520-6750(199709)44:63.0.CO;2-Z
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    Cited by:

    1. Michele Scagliarini, 2022. "A sequential test and a sequential sampling plan based on the process capability index Cpmk," Computational Statistics, Springer, vol. 37(3), pages 1523-1550, July.
    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. Ryosuke Tomohiro & Ikuo Arizono & Yasuhiko Takemoto, 2016. "Proposal of variable sequential sampling plan having desired operating characteristics indexed by quality loss," International Journal of Production Research, Taylor & Francis Journals, vol. 54(19), pages 5742-5760, October.

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