Designing a Degradation Experiment with a Reciprocal Weibull Degradation Rate

نویسندگان

  • Hong-Fwu Yu
  • Sheng-Tsaing Tseng
چکیده

Degradation experiments are usually used to assess the lifetime distribution of highly reliable products which are not likely to fail under the traditional life tests or accelerated life tests. Several factors, such as the inspection frequency, the sample size and the termination time, are closely related to the experimental cost and the estimation precision. Obviously, an inappropriate setting of these decision variables not only wastes the experimental resources but also reduces the precision of data analysis. Recently, Yu and Tseng [17] addressed the problem of how to determine the optimal setting of these decision variables for a linearized degradation model where the degradation rate follows a lognormal distribution. In practical applications, Weibull and lognormal distributions may fit the lifetime data quite adequately. However, their predictions may lead to a significant difference. To overcome this difficulty, we first deal with the optimal design of a degradation experiment where the degradation rate follows a reciprocal Weibull distribution. Under the constraint that the total experimental cost does not exceed a pre-determined budget, the optimal decision variables are solved by minimizing the mean squared error of the estimated 100 th p percentile of the lifetime distribution of the product. An example is provided to illustrate the proposed method. Finally, we also discuss the effects of using incorrect degradation rates on the optimal test plans.

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تاریخ انتشار 2001