Accelerated life test optimization design method based on proportional hazards-proportional odds model

A technology for accelerated life testing and optimization design, applied in the testing of machine/structural components, measuring devices, instruments, etc., to avoid inconsistent optimization results, wide application range and evaluation accuracy

Inactive Publication Date: 2010-01-06
BEIHANG UNIV
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Problems solved by technology

However, the limitation of these two optimization methods is that when the integration interval changes, different optimization results will be obtained

Method used

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  • Accelerated life test optimization design method based on proportional hazards-proportional odds model
  • Accelerated life test optimization design method based on proportional hazards-proportional odds model
  • Accelerated life test optimization design method based on proportional hazards-proportional odds model

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Experimental program
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Embodiment 1

[0191] Embodiment 1: constant stress accelerated life test optimization design;

[0192] Assume that a product undergoes a three-level constant stress accelerated life test, and the test stress is temperature stress. The number of test products available is 300. The operating limit of the tested product is 200°C. For each stress level, the censored time was 300 hours, and at least 20 tested products were required to fail at each stress level.

[0193] The temperature stress level value is converted to 100K according to the Arrhenius model -1 , therefore, the normal stress level of 25°C and the product working limit stress level of 200°C are converted to 0.336 and 0.211, respectively. Using the proportional hazards-proportional advantages model to evaluate the failure data of the accelerated life test pre-test of the product, the estimated values ​​of the model parameters are: β=-60, c=0.5, α=2, γ=3. The estimated values ​​of these model parameters will be used in the accel...

Embodiment 2

[0212] Embodiment 2: step stress accelerated life test optimization design;

[0213] Assume that a product undergoes two-level step stress accelerated life test, and the test stress is temperature stress. The number of test products available is 300. The working limit of the tested product is 210°C. Test at low stress level z 1 carry out τ 1 After time, go to high stress level z 2 (Take the stress level value slightly lower than the working limit of the product at 200°C), and at τ 2 = 300 hours censored. Requires a low stress level z 1 At least 50 tested products failed.

[0214] The temperature stress level value is converted to 100K according to the Arrhenius model -1 , therefore, the normal stress level of 25°C and the high stress level of 200°C translate to 0.336 and 0.211, respectively. Using the proportional hazards-proportional advantages model to evaluate the failure data of the accelerated life test pre-test of the product, the estimated values ​​of the model...

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Abstract

The invention discloses an accelerated life test optimization design method based on a proportional hazards-proportional odds model. The method comprises the following steps: establishing a logarithmic likelihood function based on the proportional hazards-proportional odds model; establishing a Fisher information matrix and an asymptotic variance-covariance matrix based on the proportional hazards-proportional odds model; establishing an objective function and constraint conditions of an optimization problem by adopting an information-based optimization method; and obtaining an accelerated life test optimization design scheme by solving the optimization problem. The invention provides an optimization design method for accelerated life test of constant stress and step stress, the model adopted during the accelerated life test optimization design is a proportional hazards-proportional odds model, the model has wider application range and higher evaluation precision than the proportional hazards model and the proportional odds model; the model is a nonparametric model and has the distribution-free characteristic; and the method avoids the problem of inconsistent optimization results caused by integral interval change in the traditional optimization method.

Description

technical field [0001] The invention belongs to the field of accelerated life tests, in particular to an accelerated life test optimization design method based on a proportional hazard-proportional advantage model. Background technique [0002] Accelerated life testing techniques are techniques that use product life data obtained under high stress for a short period of time to extrapolate the life and reliability of a product at normal stress levels. Acceleration models describe the relationship between product life and stress levels. The establishment of the acceleration model is the basis of extrapolation, which directly affects the accuracy of extrapolation. Statistical acceleration models in acceleration models can be divided into parametric models and non-parametric models. The parameter model needs to determine the life distribution form of the product in advance, however, if the product life does not obey the life distribution form, it will cause a large evaluation ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01M19/00G01M99/00
Inventor 黄婷婷姜同敏霍瑞坚李晓阳
Owner BEIHANG UNIV
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