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For highly reliable products, traditional accelerated life-test (ALT)methods may not be practical to estimate the lifetimessince the products are not likely to fail in a reasonable amount of time.Hence, degradation tests are widely used to assess thereliability of highly reliable products.However, for very- highly reliable products, the degradation rate is too slowto make useful inferences within a reasonable amount of time. In this case,higher stresses are usually used to accelerate the degradation rate anda suitable life-stress model is adopted to extrapolate and estimate theproduct''s reliability at a design stress. This method is called theaccelerated degradation test (ADT).In designing an ADT, there are many important decision variablessuch as the sample size, the length of a life- testingand the inspection frequency at each stress level. These variablesare influential tothe cost and the precision of data analysis.Therefore, this thesis focuses on designing an ADT to enhance the precisionof data analysis. An intuitive on-line procedure isproposed to determine an appropriate termination time for ADTs.Furthermore, by using the criterion of minimizing the variance of estimatingthe $(100p)th$ percentile of the product''s lifetime distributionand the product''s mean-time-to- failure (MTTF),a nonlinear integer programming is established to determine the optimal(a)the sample size to test, (b) the length of a life-testing, and (c)the inspection frequency at each stress level.
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