Variable-sampling plans based on lifetime-performance index under exponential distribution with censoring and its extensions

The exponential distribution is commonly used to model electronics components and systems, mechanical fatigue failures, and some corrosion processes that usually do not wear out until long after the product's expected life span. Herein, based on a lifetime-performance index, we design acceptance-sampling plans for an exponential population with and without censoring using statistical and decision-theoretic methodologies that minimize the number of failures required during inspection. Moreover, the performance of established sampling plans is compared with that of the recently proposed approximation approach with full-ordered observed exponential data. We also investigate the industrial applicability of our recommended sampling plans in a case study. To encompass more real applications, the extension of the methodologies to the two-parameter Weibull distribution is also included.