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.
Highlights
Measurement uncertainty evaluation is a horizontal activity across all scientific and technological disciplines
This paper focuses on the qualification determination method of product inspection based on the measurement uncertainty, quantitatively estimating the misjudgment risk caused by the measurement uncertainty to the total inspection and the sampling inspection
The present research has carried out the conformity assessment of product inspection and the calculation of misjudgment probability based on measurement uncertainty
Summary
Measurement uncertainty evaluation is a horizontal activity across all scientific and technological disciplines. Phillips and Krystek [11] summarized the product qualification determination standards, suggesting that the economic loss of the product supplier and the receiver should be fully balanced by the product qualification determination They analyzed the misjudgment risk caused by measurement uncertainty for selecting the product receiving area reasonably. It is known from previous researches that misjudgment risk of product inspection caused by measurement uncertainty has been evolved from qualitative analysis [9, 15] to quantitative estimation and controlled reliably based on the result of the misjudgment probability. It will be the future research subjects for product quality engineering. It provides evidences to reasonably optimize the allocation of measurement resources by deducing the estimation formula of the misjudgment probability test and the calculation formula of the misjudgment probability of the detection results, ensuring the reliability of product detection results at the same time
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