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Time terminated acceleration acceptance sampling test optimum design method based on Bayesian theory

A technology of Bayesian theory and timing truncation, which is applied in calculation, electrical digital data processing, and special data processing applications, etc., to achieve the effect of weakening the influence, ensuring the accuracy of the test, and reducing the cost of the test

Active Publication Date: 2014-03-19
BEIHANG UNIV
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Problems solved by technology

[0009] However, with the application of accelerated stress, the uncertainty of the acceleration factor will change the original risk of both the user and the producer and the number of test samples required. At present, the acceptance sampling test design considering the uncertainty of the acceleration factor Few people have studied it. In order to make the design of the life acceptance sampling test robust enough under the influence of the acceleration factor uncertainty, and to consider the wide range and practicability of the timing truncation scheme in engineering applications, we can combine the accelerated life test technology And Bayes method to design timed censored accelerated acceptance sampling test plan based on Bayesian theory

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  • Time terminated acceleration acceptance sampling test optimum design method based on Bayesian theory
  • Time terminated acceleration acceptance sampling test optimum design method based on Bayesian theory
  • Time terminated acceleration acceptance sampling test optimum design method based on Bayesian theory

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Embodiment

[0116] Taking an electronic product whose life distribution obeys an exponential distribution as an example, adopt the timing censored accelerated acceptance sampling test optimization design scheme based on Bayesian theory proposed by the present invention to carry out the acceptance test, and the application steps and methods are as follows:

[0117] Step 1. Determine the life distribution of the product, verify the index parameters of the life, and then establish statistical assumptions;

[0118] The life of this electronic product obeys the exponential distribution. Assuming that the acceleration factor of the test can be determined to be AF=3 based on prior information such as test data and historical data, select the failure rate λ A As its life verification index parameter, according to the agreed risk of both parties α=0.2, β=0.2, select the corresponding inspection upper and lower limits λ on the sampling characteristic curve (OC Curve) of the product 0 =0.004 and λ ...

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Abstract

The invention discloses a time terminated acceleration acceptance sampling test optimum design method based on the Bayesian theory. The method comprises the following steps: step one, life distribution and verification index parameters of products are determined, and then a statistical hypothesis is established; step two, test decision-making rules are designed for a selected product, and testing and receiving processes of the product are determined; step three, constraint conditions which meet the requirements of two-party risks for the verification index parameters are deduced according to posterior risk criteria; step four, prior distribution of the verification index parameters is given based on historical data, and a scheme set meeting the conditions is calculated through WinBUGS14 on the basis of an MCMC method; step five, a test cost constraint is determined, and an optimal scheme is obtained through calculation. According to the time terminated acceleration acceptance sampling test optimum design method based on the Bayesian theory, the Bayesian theory is introduced into the optimum design of an acceleration acceptance sampling test for the first time, the posterior risk criteria are applied to the solving process of the test scheme, the influence of accelerated factor uncertainty in the test is taken into consideration for the first time, and the influence is expressed in a quantized mode.

Description

technical field [0001] The invention is an accelerated life acceptance sampling test optimization design method based on Bayesian theory, belongs to the technical field of accelerated life test and reliability verification test, and is used for solving technical problems in the field of reliability and system engineering. Background technique [0002] The life verification test is a test to determine whether the life characteristics of the product meet the development requirements. It includes a life identification test and a life acceptance test, and different tests are carried out at different stages. [0003] Life acceptance sampling test must have a detailed test plan before implementation, how to sample the product to be tested, how to make decisions and inferences based on the sampling results, how to calculate the two types of risk calculations in the test plan, etc., must have a clear It shows that a good experimental design plan can analyze the life parameters of th...

Claims

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Application Information

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IPC IPC(8): G06F17/50
Inventor 高鹏飞李晓阳孙富强
Owner BEIHANG UNIV
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