Designing acceptance sampling plans based on the lifetime performance index under gamma distribution

Acceptance sampling is popular in industries to determine whether a submitted lot should be accepted or not. Various sampling plans have been developed under the assumption that the quality characteristic of a product follows a normal distribution. However, lifetime data generally follows a non-normal distribution, such as exponential, gamma, or Weibull distribution in many applications. Therefore, this paper considers a product lifetime with a gamma distribution and develops two acceptance sampling plans, single sampling plan (SSP) and resubmitted sampling plan (RSP), based on the lifetime performance index. The plan parameters are obtained based on the two-point condition on the operating characteristic (OC) curve, which aims to satisfy the desired quality levels and the allowable risks by the producer and the consumer concurrently. The procedure of the proposed plans and tables of plan parameters are prepared for making decisions on product acceptance determination.