Improved Group Acceptance Sampling Plan for Dagum Distribution under Percentiles Lifetime

Abstract

This paper deals with a group acceptance sampling plan for time truncated tests which are based on the total number of failures from the whole group assuming that the life time of an item follows the Dagum (inverse Burr) distribution. This study is developed when a multiple number of items as a group can be tested simultaneously in a tester. The minimum number of groups required for a given group size and acceptance number is determined such that the producer and consumer risks are satisfied simultaneously at the specified quality level, while the termination time and the number of testers are specified. Comparisons are made between the proposed plan and the existing plan on the basis of size of the groups. Two real examples are provided.

A group acceptance sampling plan for ‘Another Generalized Transmuted‐Exponential Distribution’ based on truncated lifetimes

“…An essential tool to judge the quality of the product is acceptance sampling to accept or reject a submitted lot of the product. Many authors discuss acceptance sampling based on a single item using the various lifetime distribution for elaborate literature see Aslam et al 1 Often, designing a sampling plan, it is implicitly assumed that we put only a single item in a tester. However, testers that can accommodate multiple numbers of items simultaneously are used to save testing time and cost simultaneously.…”