Decision Procedure for the Weibull Distribution Based on Run Lengths of Conforming Items

Abstract

Abstract In this study, acceptance sampling has been developed using the run lengths of conforming items for Weibull-distributed products. The plan parameters of the proposed plan were determined such that the given risks were satisfied for specified values of the mean ratio, shape parameter, and experiment time. Formulas for gamma distribution are also suggested in this paper. A comparison of the proposed plan with the existing repetitive group sampling plan was made, and the proposed plan was found to perform better than the existing sampling plan. Tables are provided for the selection of the plan parameters for inspection purposes. A real example is used to describe the plan developed here.

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