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Calculation of Misjudgment Probability for Product Inspection Based on Measurement Uncertainty

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  • Xiao-huai Chen
  • Yin-bao Cheng
  • Han-bin Wang
  • Hong-li Li
  • Zhen-ying Cheng
  • Hou-de Liu

Abstract

It is important to research into the misjudgment probability of product inspection based on measurement uncertainty, which is of great significance to improve the reliability of inspection results. This paper mainly focused on total inspection and sampling inspection methods and regarded the misjudgment probability as the index to provide quantitative misjudgment risk results for both producer and consumer sides. Through the absolute probability and the conditional probability model, the estimation formula of the total inspection misjudgment rate is deduced, respectively, and the calculation methods of qualification determination and misjudgment rate of the full inspection results are studied. According to the total inspection misjudgment rate, the methods of misjudgment rate of sampling inspection and qualification determination of measurement results are researched. The misjudgment rate of measurement results is calculated based on the exhaustive method and the Monte-Carlo simulation. The estimation results show that the misjudgment probabilities calculated by absolute probability models can be used as the basis for the selection of the measurement plan for product inspection. The misjudgment probability calculated by conditional probability models is more directly to reflect the risks for both producer and consumer sides, and it prompts inspectors to make decisions more carefully.

Suggested Citation

  • Xiao-huai Chen & Yin-bao Cheng & Han-bin Wang & Hong-li Li & Zhen-ying Cheng & Hou-de Liu, 2017. "Calculation of Misjudgment Probability for Product Inspection Based on Measurement Uncertainty," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-11, December.
    • Handle: RePEc:hin:jnlmpe:1594898
    DOI: 10.1155/2017/1594898
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