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Variables sampling plans with PPM fraction of defectives and process loss consideration

Author

Listed:
  • W L Pearn

    (National Chiao Tung University)

  • Chien-Wei Wu

    (Feng Chia University)

Abstract

Acceptance sampling plans provide the vendor and the buyer decision rules for lot sentencing to meet their product quality needs. A problem the quality practitioners have to deal with is the determination of the critical acceptance values and inspection sample sizes that provide the desired levels of protection to both vendors and buyers. As today's modern quality improvement philosophy, reduction of variation from the target value is the guiding principle as well as reducing the fraction of defectives. The Cpm index adopts the concept of product loss, which distinguishes the product quality by setting increased penalty to products deviating from the target. In this paper, a variables sampling plan based on Cpm index is proposed to handle processes requiring very low parts per million (PPM) fraction of defectives with process loss consideration. We develop an effective method for obtaining the required sample sizes n and the critical acceptance value C0 by solving simultaneously two nonlinear equations. Based on the designed sampling plan, the practitioners can determine the number of production items to be sampled for inspection and the corresponding critical acceptance value for lot sentencing.

Suggested Citation

  • 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.
    • Handle: RePEc:pal:jorsoc:v:57:y:2006:i:4:d:10.1057_palgrave.jors.2602013
    DOI: 10.1057/palgrave.jors.2602013
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    Citations

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    Cited by:

    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. 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.
    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.
    4. Wu, Chien-Wei, 2009. "Decision-making in testing process performance with fuzzy data," European Journal of Operational Research, Elsevier, vol. 193(2), pages 499-509, March.
    5. Fernández, Arturo J. & Pérez-González, Carlos J. & Aslam, Muhammad & Jun, Chi-Hyuck, 2011. "Design of progressively censored group sampling plans for Weibull distributions: An optimization problem," European Journal of Operational Research, Elsevier, vol. 211(3), pages 525-532, June.
    6. Pearn, W.L. & Hung, H.N. & Cheng, Ya Ching, 2009. "Supplier selection for one-sided processes with unequal sample sizes," European Journal of Operational Research, Elsevier, vol. 195(2), pages 381-393, June.

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