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Rectifying inspection for PAOSQLL scheme based on variable repetitive group sampling plan

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Abstract

The concept of the quality loss derived by Taguchi has been accepted as the evaluation measure of quality instead of the traditional attribute property such as the proportion of non-conforming items. Since the variable single sampling plan having the desired operating characteristics indexed by the quality loss was proposed in 1997, various kinds of sampling plans indexed by the quality loss have been considered. Among them, there are two kinds of rectifying variable single sampling (RVSS) plans indexed by the quality loss. In the RVSS plans, two inspection schemes called the acceptance quality loss limit (AQLL) scheme and the permissible average outgoing surplus quality loss limit (PAOSQLL) scheme have been formulated. Note that the concepts of the AQLL and PAOSQLL schemes in the RVSS plans indexed by the quality loss are equivalent to those of the lot tolerance percent defective (LTPD) and the average outgoing quality limit (AOQL) schemes in the traditional rectifying attribute single sampling plans, respectively. On the other hand, in the sampling plan having the desired operating characteristics, an attribute repetitive group sampling plan was proposed for the purpose of reducing the average sampling number in the inspection. Recently, by applying the repetitive group sampling to the rectifying variable sampling plan for the AQLL scheme, the rectifying variable repetitive group sampling (RVRGS) plan for the AQLL scheme has been considered for the purpose of reducing the average total inspection (ATI). However, the RVRGS plan for the PAOSQLL scheme has not been investigated yet. Accordingly, the RVRGS plan for the PAOSQLL scheme must be investigated to complete the RVRGS plans indexed by the quality loss. In this article, the RVRGS plan for the PAOSQLL scheme is addressed. Then, the design procedure in the RVRGS plan for the PAOSQLL scheme is proposed for the purpose of reducing ATI. Through some numerical investigations, the effectiveness to reduce ATI by the RVRGS plan for the PAOSQLL scheme is confirmed.

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References

  1. Taguchi G (1985) A tutorial on quality control and assurance—the Taguchi methods. Annual Meeting, Las Vegas

    Google Scholar 

  2. Taguchi G (1986) Introduction to quality engineering. Asian Productivity Organization, Tokyo

    Google Scholar 

  3. Arizono I, Kanagawa A, Ohta H, Watanabe K, Tateishi K (1997) Variable sampling plans for normal distribution indexed by Taguchi’s loss function. Nav Res Logist 44:591–603

    Article  MATH  Google Scholar 

  4. Dodge HF, Romig HG (1959) Sampling inspection tables. Wiley

  5. Arizono I, Miyazaki T, Takemoto Y (2014) Variable sampling inspection plans with screening indexed by Taguchi’s quality loss for optimising average total inspection. Int J Prod Res 52:405–418

    Article  Google Scholar 

  6. Sherman RE (1965) Design and evaluation of a repetitive group sampling plan. Tecnometrics 7:11–21

    Article  MathSciNet  MATH  Google Scholar 

  7. Balamurali S, Park H, Jun C-H, Kim K-J, Lee J (2005) Designing of variables repetitive group sampling plan involving minimum average sample number. Commun Stat Simul Comput 34:799–809

    Article  MathSciNet  MATH  Google Scholar 

  8. Balamurali S, Jun C-H (2006) Repetitive group sampling procedure for variables inspection. J Appl Stat 33:327–338

    Article  MathSciNet  MATH  Google Scholar 

  9. Jun C-H, Lee HS-H, Balamurali S (2010) A variables repetitive group sampling plan under failure-censored reliability tests for Weibull distribution. J Appl Stat 37:453–460

    Article  MathSciNet  Google Scholar 

  10. Aslam M, Yen C-H, Jun C-H (2011) Variable repetitive group sampling plans with process loss consideration. J Stat Comput Simul 81:1417–1432

    Article  MathSciNet  MATH  Google Scholar 

  11. Tomohiro R, Arizono I, Takemoto Y (2013) Design of variable repetitive group sampling plan on operating characteristics indexed by quality loss. In: Proc of the 14th Asian Pacific industrial engineering and management systems conference (APIEMS 2013). CD-ROM

  12. Arizono I, Okada Y, Tomohiro R, Takemoto Y (2016) Rectifying inspection for acceptable quality loss limit based on variable repetitive group sampling plan. Int J Adv Manuf Technol 85:2413–2423

    Article  Google Scholar 

  13. Morita M, Arizono I, Takemoto Y (2009) Variable sampling inspection plans with screening for assuring average outgoing surplus quality loss limit indexed by Taguchi’s loss. Int J Adv Manuf Technol 41:908–915

    Article  Google Scholar 

  14. Patnaik PB (1949) The non-central χ 2 − and F − distribution and their applications. Biometrika 36:202–232

    MathSciNet  MATH  Google Scholar 

  15. Wilson EB, Hilferty MM (1931) The distribution of chi-square. Proc Nat Acad Sci USA 17:684–688

    Article  MATH  Google Scholar 

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Acknowledgments

This work was supported by Japan Society for the Promotion of Science (JSPS) KAKENHI Grant Number 15K01191: “Proposal of quality management system based on the information and communication technology (ICT) towards the next generation production system.” We would like to appreciate the grant for our research.

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Authors and Affiliations

  1. Graduate School of Natural Science and Technology, Okayama University, Okayama, 700-8530, Japan

    Ikuo Arizono, Yusuke Okada & Ryosuke Tomohiro

  2. Faculty of Science and Engineering, Kindai University, Osaka, 577-8502, Japan

    Yasuhiko Takemoto

Authors
  1. Ikuo Arizono
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  2. Yusuke Okada
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  3. Ryosuke Tomohiro
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  4. Yasuhiko Takemoto
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Correspondence to Ikuo Arizono.

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Arizono, I., Okada, Y., Tomohiro, R. et al. Rectifying inspection for PAOSQLL scheme based on variable repetitive group sampling plan. Int J Adv Manuf Technol 94, 145–154 (2018). https://doi.org/10.1007/s00170-017-0890-0

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  • DOI: https://doi.org/10.1007/s00170-017-0890-0

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