Single and Double Acceptance Sampling Plans Based on the Time Truncated Life Tests for the Compound Weibull-Exponential Distribution

Abstract

Acceptance sampling plans are one of the important statistical tools in production sector. While the producers want the protection of the quality of the products and minimum variability between them, the consumers expect the products to satisfy the quality characteristics. It is worth to mention that the acceptance sampling plans protect both the interest of the producers and the consumers. For some products, the life time might be an important quality characteristic. In this case, the satisfaction of the quality control of the products can be controlled using a suitable life time test based on the acceptance sampling plans for the life time of the products. In the industry, the acceptance sampling plans based on the life time test of the product life are called as reliability. The fact that it is almost impossible to inspect all the products due to the limitations of both cost and time, the acceptance sampling plans are used based on a truncated life time test with a censoring scheme. In this study, optimal plan parameters are obtained for single and double acceptance sampling plans when the life time of a product follows compound Weibull-Exponential distribution.