建構產品壽命服從韋伯分配之壽命檢定計畫

Developing Life-Test Sampling Plans for Weibull Lifetime Products

李端(Li, Duan)

指導教授 ： 吳建瑋

國立清華大學/工學院/工業工程與工程管理學系/碩士(2016年)

摘要

在現今高度競爭產業時代，產品品質的好壞儼然成為企業生存的關鍵，在眾多評估產品品質績效的方法中，製程能力指標為評估產品品質特性的一個簡單有效之工具。然而，大多數的製程能力指標皆假設其品質特性服從常態分配，對於產品的壽命特性來說，它們通常服從非常態的分配，如：指數分配、伽瑪分配，以及韋伯分配。因而，為了衡量服從非常態分配的產品壽命之績效表現，壽命績效指標 因而被發展出來，用於表現望大型的產品壽命特性。
驗收抽樣計畫為另一個被業界廣為應用的品管工具，它可以在同時滿足生產者及消費者所要求的品質水準及保障雙方所能承受的風險下，提供買賣雙方是否該允收送驗貨批的決策準則。而用於衡量產品壽命特性的驗收抽樣計畫也可被稱為壽命檢定計畫。本研究主要目的為當產品壽命服從韋伯分配的情況下，利用完整樣本和上記錄值樣本兩種資料類型，基於壽命績效指標來 建構出產品的壽命檢定計畫。
為了實務上的方便使用，本研究求解出多種品質水準與風險組合之計畫參數，並彙集成表格形式，使用者可透過計畫參數表得知所需抽樣樣本數及相對應之允收臨界值來進行送驗貨批之評判。最後，本研究同時提出壽命檢定計畫之操作程序，以供業者更好的理解和使用本研究的結果。

關鍵字

壽命檢定計畫 ； 壽命績效指標 ； 韋伯分配 ； 完整樣本 ； 上記錄值

並列摘要

In today’s highly developed manufacturing industry, process capability indices are effective means of measuring process performance. Most process capability indices have been developed under the assumption that the quality characteristics are normally distributed. However, the lifetime data of products generally may possess an exponential, gamma or Weibull distribution and so forth. A lifetime performance index was proposed and used as a means of measuring performance of product lifetime, which is a larger-the-better type quality characteristic and usually possess a non-normal distribution.
Acceptance sampling plans are practical tools for quality management applications and provide the producer and the consumer a general rule for lot sentencing to meet their requirements of product quality. And an acceptance sampling plan for lifetime performance is also called life-test sampling plan. In this study, we developed life-test sampling plans based on the lifetime performance index for Weibull lifetime products in the conditions of complete sampling data and upper record data.
And for the practical purpose, this study tabulated the plan parameters for various combinations of acceptable and rejectable quality levels, producer’s risks and consumer’s risks. Thus, practitioners can easily understand the number of product items required for inspection and the corresponding critical value for making decisions on product acceptance determination. Finally, life testing procedures are provided to illustrate the use of the developed life-test sampling plan.

並列關鍵字

Life-test sampling plan ； Lifetime performance index ； Weibull distribution ； Complete sample ； Upper record value

參考文獻

Liu, C.-H., and Wu, C.-W. (2015). Devopling an acceptance sampling plan based on the lifetime performance index under Gamma distribution. The 16th Asia Pacific Industrial Engineering and Management Systems Conference.

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