Construction of a Tightened-Normal-Tightened Sampling Scheme by Variables Inspection

Alexander A. Nugroho, National Taiwan University of Science and Technology
Chien-Wei Wu, National Tsing Hua University
Nani Kurniati, National Taiwan University of Science and Technology

ABSTRACT
Acceptance sampling is one of the important parts of the field of quality control and used primarily for incoming inspection. Acceptance sampling plans state the required sample size and the decision making rule for product sentencing. This paper proposes a tightened-normal-tightened (TNT) variables sampling scheme for product acceptance determination based on the third-generation of process capability index , that considers both process yield and quality loss. The operating characteristic (OC) function of the proposed sampling scheme is derived based on the exact sampling distribution and the operating procedures is provided. The sample size required for inspection and the associated critical acceptance value are tabulated under various combinations of quality levels and risks preset by producers and consumers. The behaviors of the proposed sampling scheme with various conditions are also discussed.

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Updated 07/09/2013