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.

验收抽样在行业中很受欢迎，以确定是否应接受提交的批次。假设产品的质量特性服从正态分布，已经制定了各种抽样计划。然而，寿命数据通常遵循非正态分布，例如在许多应用中的指数、伽马或威布尔分布。因此，本文考虑了具有伽马分布的产品生命周期，并根据生命周期性能指标制定了两个验收抽样计划，即单次抽样计划 (SSP) 和重新提交抽样计划 (RSP)。计划参数是基于操作特性（OC）曲线上的两点条件获得的，旨在同时满足生产者和消费者的期望质量水平和允许风险。