Abstract

This paper mainly talks about the relationship between an optimal design of accelerated degradation tests and the degradation performance. When there is a linear relationship between the parameter of distribution and the critical values, a special pattern of accelerated degradation tests is presented by taking the critical values as accelerated variable. And the optimal test plan is obtained by minimizing the asymptotic variance of the MLE of the parameter of distribution. Finally, a numerical example is presented to illustrate the procedures of the test plan.

Highlights

  • With the development of technology, more and more products have higher reliability and longer service life

  • This paper mainly talks about the relationship between an optimal design of accelerated degradation tests and the degradation performance

  • When there is a linear relationship between the parameter of distribution and the critical values, a special pattern of accelerated degradation tests is presented by taking the critical values as accelerated variable

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Summary

Introduction

With the development of technology, more and more products have higher reliability and longer service life. Yang [5] and Wu, Chang [6] obtained the optimal test design by minimizing the asymptotic variance of quantile life estimation under the restriction of service cost for the constant stress accelerated degradation test. Assuming that the degradation rate obeys the inverse Weibull distribution, Yu and Tseng [7] designed a constant stress degradation test. Sung and Yum [11] studied the optimal design of accelerated degradation test based on the Wiener process. Our main purpose is to find a method based on degradation performance to plan the accelerated degradation tests. We discuss the relationship between the optimal design of a kind of accelerated degradation test and the selection of its degradation of critical value. A numerical example is presented to illustrate the procedures of the test plan in Section 4, and Section 5 concludes this paper

The Critical Values
Test Description and Assumption
Optimization Design Model
A Special Case of Optimization Model
Numerical Example
Results and Conclusion
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