Abstract Conventional sampling plans are applied to dispose an individual lot or isolated lot that requires a large sample size. Consequently, the inspection time and cost needed to make a decision under conventional plans are high. In order to reduce the sample size and to inspect the series of lots with minimum cost and time, special purpose plans are utilized. In this article, we propose one of the special purpose plans, namely, a quick switching sampling system that is also known as a two-plan sampling system. Through this sampling system, the Weibull-distributed mean life of the product is ensured based on time-truncated life tests. The proposed system is designed with the intention of minimizing the average sample number using two points on the operating characteristic curve approach. The optimal parameters of the proposed system are determined for different combinations of producer’s risk and consumer’s risk. Implementation of the proposed system is also explained and the performance of the proposed system is compared with other existing plans. In addition, the effects of misspecification of shape parameters on optimal parameters and the probability of acceptance are discussed.

中文翻译：

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确定具有不同样本量的最佳快速切换系统以确保威布尔分布下的平均寿命

摘要 常规抽样计划适用于处理需要大样本量的单个批次或孤立批次。因此，根据传统计划做出决定所需的检查时间和成本很高。为了减少样本量并以最少的成本和时间检查系列批次，使用了特殊目的计划。在本文中，我们提出了一种特殊用途的方案，即快速切换采样系统，也称为双方案采样系统。通过该采样系统，基于时间截断寿命测试确保了产品的威布尔分布平均寿命。所提出的系统的设计目的是使用操作特性曲线方法上的两个点来最小化平均样本数。建议系统的最佳参数是针对生产者风险和消费者风险的不同组合确定的。还解释了拟议系统的实施，并将拟议系统的性能与其他现有计划进行了比较。此外，还讨论了形状参数的错误指定对最佳参数和接受概率的影响。