Abstract
In this paper, we have developed single and double acceptance sampling plans when the product life length follows the power Lindley distribution. The sampling plans have been developed by assuming infinite and finite lot sizes. We have obtained the operating characteristic curves for the resultant sampling plans. The sampling plans have been obtained for various values of the parameters. It has been found that for a finite lot size, the sampling plans provide smaller values of the parameters to achieve the specified acceptance probabilities.
Highlights
Product quality is a key ingredient for its acceptability
The sampling plans discussed in this paper are useful when the life length of product follows the power Lindley distribution
These values indicate that if the quality control engineer is interested in testing the hypothesis that the life length of a component is 1000 h and true average life is thrice this value, the engineer can test 11 items; if fewer than 2 items fail in 500 h; as a0 = 0.5 and life length is in thousands of hours, the engineer can conclude with 95% confidence that the life is more than
Summary
Product quality is a key ingredient for its acceptability. Products with high quality have higher acceptability compared with products with low quality. Acceptance sampling plans have been studied by several authors, assuming that the life length of a product follows a specific probability distribution. Provided sampling plans that followed the assumption that the life length of a product follows the Weibull distribution. Reference [7] provided sampling plans that followed the assumption that the life length follows a generalized Rayleigh distribution. Reference [8] have constructed acceptance sampling plans for when the life length of the product follows the Frechet distribution. The usefulness of sampling plans under various probability distributions depends upon the life length behavior of a product. The sampling plans discussed in this paper are useful when the life length of product follows the power Lindley distribution. This paper discusses single and double acceptance sampling plans when the life length of the component follows the power Lindley distribution.
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