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Equivalent optimum design for accelerated life test scheme based on D-efficiency

Authors: Wenbin Sun; Yunxia Chen;

Equivalent optimum design for accelerated life test scheme based on D-efficiency

Abstract

Equivalent optimum design is a new method of designing an optimum accelerated life test scheme. Traditional method is to establish a statistical model based on the corresponding life distribution and acceleration model under the premise of determining the test stress loading mode. The premise of predetermined stress loading mode results in a locally optimal solution, rather than achieving the global optimal requirement of minimizing the test time or cost during the period of actual experimental implementation. The existing equivalent experimental design has already compensated for the above constraints roughly, which provides an equivalent conversion approach between different accelerated life test plans. Thus, an equivalent design scheme can be obtained on the baseline of existing optimal constant stress accelerated life test. However, the current equivalent criterion is a little bit too harsh that is to request the equation of two plans' corresponding quintile life asymptotic variance under normal stress level or fisher matrix determinant. It is difficult to obtain the satisfied solutions. In this paper, a new equivalent optimization method is proposed based on a new equivalent criterion called D-efficiency. With this method, equivalent design scheme can be realized by utilizing the ratio of fisher information matrix determinant to measure the equivalent degree. In this work, it assumes the fisher matrix determinant of optimal constant-stress accelerated life test is the baseline to determine the objective of an optimal model. The constraints can be built with several parameters of the original constant stress test plan. Finally, an example of the equivalent design was provided, which we changed the stress loading mode from constant-stress to step-stress. Different equivalent plans has been presented by changing the stress loading modes to reduce the test time or lower the cost of test under condition of the same accuracy of life prediction.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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