Optimal Classification of Highly Reliable Products with a Linearized Degradation Model

具可線性化衰變模式之高可靠度產品的最佳分類問題

于鴻福(Hong-Fwu Yu) ； 游文清(Wen-Ching Yu)

《工業工程學刊》 23卷5期 (2006/09) Pp. 382-392

https://doi.org/10.29977/JCIIE.200609.0003

摘要

在一項產品的製造上，製造商可能會向供應商採購其中的部份零組件。對於這些由不同供應商所提供之零組件的競標設計樣式，若進行較佳與較差設計之分類，將有助於產品可靠度的提升。惟這些競標的設計樣式若屬於可靠度產品的話，那麼利用傳統的壽命試驗或加速壽命試驗，將可能無法於一段合理的時間內獲得足夠的失效資料。此時，此種分類的工作對製造商而言，將會是一項挑戰。在這種狀況下，假若可量得與產品壽命有關之衰變特性的數值的話，那麼衰變試驗將會是評估產品可靠度的有效利器。本文之目的即是要提出一套方法，以處理具可線性化衰變模式之高可靠度產品的分類問題。首先，我們提出一種具直觀優點的分類法則，然後以總試驗成本的最小化為目標，並賦予一正確分類的最小機率要求和錯誤分類的最大容許機率兩個限制條件，以決定出在所提出的分類法則下，各競標設計樣式所需的樣本數、量測頻率和試驗終止時間的最佳組合。最後，本文將以一個範例來說明上述的分類方法。

關鍵字

高可度產品 ； 衰變試驗 ； 分類法則 ； 量測頻率 ； 試驗終止時間

並列摘要

In manufacturing a product, some parts (or components) of this product may be purchased from vendors. For the parts (or components), classifying the better and worse designs among several competing designs is helpful for the manufacturer to enhance the product's reliability. It is a great challenge for the manufacturer if these completing designs are highly reliable, since there are few (or even no) failures can be obtained by using traditional life tests or accelerated life tests. In such a case, degradation tests will be effective techniques to assess the products' reliability if degradation measurements relating to reliability can be observed. This paper proposes a systematic approach to the classification problem where the products' degradation paths satisfy a linearized model. An intuitively appealing classification rule is proposed. Then, with respect to the objective of minimizing the total experimental cost, the optimal test plan (including the sample size, inspection frequency, and the termination time needed by the classification rule for each of competing designs) is derived by solving a nonlinear integer programming with a minimum probability of correct classification and a maximum probability of misclassification. Finally, an example is provided to illustrate the proposed method.

並列關鍵字

highly reliable products ； degradation test ； classification rule ； inspection frequency ； termination time

參考文獻

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