Abstract
This paper presents optimum design of time-censored constant-stress partially accelerated life test sampling plan (PALTSP) in which each item runs either at use or at accelerated conditions and product life follows Burr type XII. The optimal plan consists in finding out sample proportions allocated to both use and accelerated conditions by minimizing the asymptotic variance of test statistic for deciding on acceptance/rejection of the lot such that producer’s and consumer’s interests are safeguarded. The method developed has been illustrated using an example. Sensitivity analysis has also been carried out.
Highlights
Quality control methods are commonly used to determine the acceptability of a product with regard to its usefulness at the time it is put into the service
If the sample data are related to the reliability of items, the corresponding Acceptance sampling plans (ASPs) is called life test sampling plan or reliability acceptance sampling plan
Single sample acceptance sampling plans by variables are used, and acceptance/rejection decision of a lot is based on Schneider’s [9] approach to k-method wherein sample mean and standard deviation are replaced by Maximum likelihood estimators (MLEs) of location parameter and scale parameter of log life distribution, respectively
Summary
Quality control methods are commonly used to determine the acceptability of a product with regard to its usefulness at the time it is put into the service. In step-stress PALT, a test item is first run at normal operating condition and, if it does not fail it is run at accelerated condition until failure occurs or the observation is censored. Bai et al [4] have used the maximum likelihood method to estimate the scale parameter and the acceleration factor for the log normally distributed lifetime, using type I censoring data. In this paper optimum timecensored constant-stress PALT sampling plans have been designed using hazard acceleration and the Burr type XII life distribution. The optimal plan consists in finding out sample proportions allocated to both use and accelerated conditions for the constant PALT by minimizing the asymptotic variance of test statistic for deciding on acceptance/rejection of the lot such that producer’s and consumer’s interests are safeguarded
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