教師資料查詢 | 類別: 期刊論文 | 教師: 林光男 LIN KUANG-NAN (瀏覽個人網頁)

標題:逐步區間設限加速壽命試驗在成本限制下之最適設計
學年96
學期2
出版(發表)日期2008/06/01
作品名稱逐步區間設限加速壽命試驗在成本限制下之最適設計
作品名稱(其他語言)Optimal Progressively Type-I Group-Censored Accelerated Life-test Plans under Cost Constraint
著者林光男; 廖康君; 黃炫融; 吳碩傑
單位淡江大學統計學系
出版者臺灣智慧科技與應用統計學會
著錄名稱、卷期、頁數智慧科技與應用統計學報 6(1)頁1-11
摘要在傳統的壽命試驗中,通常不允許在試驗中間移除存活之元件。但是,在實務上實驗者有時候必須於試驗中間移除部分的存活元件。因此,逐步設限便被用來處理這種類型的問題。此外,由於試驗操作上的限制,使得有些試驗無法連續地觀察受測試元件的狀況,只能每隔一段時間來記錄有多少個元件發生故障,因此無法知道這些元件的確切故障時間,這種型態的資料稱為分群資料。再則由於科技的發達使得元件的可靠度不斷的提昇,所以在有限的試驗時間內可觀察到的故障元件個數便很少甚至沒有故障元件發生,因此加速壽命試驗的方法可讓實驗者快速獲得足夠的元件壽命資料,以便於研究產品的可靠度相關問題。本文將逐步設限和分群資料的觀念結合,提出逐步型一分群設限加速壽命試驗的方式,探討元件壽命為韋伯分配時,在有限的試驗預算下,以非線性混合整數規劃方法來找出最佳的試驗配置,並舉例子來闡述所提出的方法,以及探討分配和成本參數變動時的敏感度分析。
In traditional censoring life test, it is not allowed for surviving units to be removed from the test at points other than the final termination point. However, this allowance will be desirable for some experimenters. Therefore, a progressive censoring scheme is proposed to handle this problem. Besides, in practice, it is often impossible continuously to observe or inspect the testing process. We can only record whether a test unit fails in an interval instead of measuring failure time exactly. Hence, the test units are inspected intermittently. Data of this type are called grouped data. Moreover, with today's high technology, some life tests result in few or no failures in a short life testing time. One approach to solve this problem is to accelerate the life of units by increasing the levels of stress in order to obtain failures quickly. In this paper, we combine progressive censoring, grouped data and step-stress accelerated life test to develop a progressively type-I group-censored step-stress test plan. We use the nonlinear mixed integer programming to obtain the optimal settings of the test plans for Weibull lifetime distribution under cost constraint. A numerical example is studied to illustrate the proposed approach and sensitivity analysis is performed.
關鍵字D型最適性; 逐步應力; 最大概似法; 韋伯分配; D-optimality; step stress; method of maximum likelihood; Weibull distribution
語言中文
ISSN1812-433x
期刊性質國內
收錄於
產學合作
通訊作者吳碩傑
審稿制度
國別中華民國
公開徵稿
出版型式紙本
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