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A New Design on Attributes Single Sampling Plans

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  • Fangyu Liu
  • Lirong Cui

Abstract

In this article, two new approaches are introduced to design attributes single plans, and the corresponding models are constructed separately. For Approach I, an algorithm is proposed to design sampling plans by setting a goal function to fulfill the two-point conditions on the operating characteristic curve. For Approach II, the plan parameters are solved by a nonlinear optimization model which minimizes the integration of the probability of acceptance in the interval from the producer's risk quality to the consumer's risk quality. Then numerical examples and discussions based on numerical computation results are given to illustrate the approaches, and tables of the designed plans under various conditions are provided. Moreover, a fact is given to be proved that there is a relation between the conventional design and the new approaches.

Suggested Citation

  • Fangyu Liu & Lirong Cui, 2015. "A New Design on Attributes Single Sampling Plans," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(16), pages 3350-3362, August.
    • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:16:p:3350-3362
    DOI: 10.1080/03610926.2014.887114
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    Cited by:

    1. Muhammad Aslam & P. Jeyadurga & Saminathan Balamurali & Ali Hussein AL-Marshadi, 2019. "Time-Truncated Group Plan under a Weibull Distribution based on Neutrosophic Statistics," Mathematics, MDPI, vol. 7(10), pages 1-11, September.

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