A new mixed acceptance sampling plan based on sudden death testing under the Weibull distribution

Abstract

In this article, a new mixed sampling plan based on the group sampling plan and sudden death testing scheme is proposed by assuming that the lifetime of the product follows the Weibull distribution. The optimal parameters of the proposed plan will be determined such that the producer's risk and consumer's risk are satisfied for specified values of acceptable and limiting quality levels. The proposed plan is compared with the existing group acceptance sampling plan and variable single sampling plan based on sudden death testing. The tables are provided and examples are also given to illustrate the proposed plan.

在本篇論文中 ， 一個根據韋伯分配而產生的混合抽樣方法被提出。 由於生產者風險和消費者風險對於不同價值以及品質之間認知的差異 ， 本方法藉以找出最佳的參數。 我們並且將此方法跟已存在的群組可接受抽樣計畫以及參數單一抽樣計畫做比較 ， 以猝死癥候群測試作為例子。 在文章的最後 ， 會有表格以闡述此方法並呈現案例的資料作為驗證 。

（*聯絡人 ： [email protected]）

Keywords:

• mixed sampling
• Weibull distribution
• group acceptance sampling plan
• sudden death testing
• producer's risk and consumer's risk

Keywords:

• 關鍵詞 ： 混合抽樣 ； 韋伯分配 ； 群組抽樣計畫 ； 猝死癥候群測試 ； 生產者風險和消費者風險

Acknowledgements

The authors thank the three reviewers and editor for their valuable suggestions, which really improved the quality of this manuscript.

Notes

（*聯絡人 ： [email protected]）