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Abstract
With the rapid development of technology, improving product life performance has become a very important issue in recent decades. The lifetime performance index is used in this research for the assessment of the lifetime performance of products following the Rayleigh distribution. Based on the hypothesis testing procedure with this index, using the maximum likelihood estimator as a testing statistic, the sampling design is determined and the related values are tabulated for practical use to reach the given power level and minimize the total experimental cost under progressive type I interval censoring. When the inspection interval length is fixed and the number of inspection intervals is not fixed, the required number of inspection intervals and sample size with the minimum total cost are determined and tabulated. When the termination time is not fixed, the required number of inspection intervals, sample size and equal interval length reaching the minimum total cost are determined and tabulated. Lastly, a practical example is given to illustrate the use of this sampling design for the testing procedure to determine whether the process is capable.
Highlights
The process capability index CL proposed by Montgomery [1] is frequently used to measure the larger-the-better quality characteristics such as lifetime, mpg, tensile strength, durability, etc
For progressive type I interval censored data from the Gompertz lifetime distribution, a testing procedure for the lifetime performance index was proposed by Wu and Hsieh [9] based on a progressive type I interval censored sample
Based on the testing procedure proposed in Wu et al [13], we conduct a study on the experimental design for the lifetime performance index from Rayleigh distributed products based on progressive type I interval censored data
Summary
The process capability index CL proposed by Montgomery [1] is frequently used to measure the larger-the-better quality characteristics such as lifetime, mpg, tensile strength, durability, etc. Wu et al [5] proposed a Bayesian test of the lifetime performance index for exponential products based on a progressive type II right censored sample. For products following Weibull lifetime distribution, Wu and Lin [11] proposed a hypothesis testing procedure for the lifetime performance index using progressive type I interval censored data. Based on the testing procedure proposed in Wu et al [13], we conduct a study on the experimental design for the lifetime performance index from Rayleigh distributed products based on progressive type I interval censored data.
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