柯沛程952221E025007

柯沛ç&...

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Unformatted text preview: 1 行政院國家科學委員會專題研究計畫成果報告 具不同考慮可修理系統之研究 The study for some repairable systems with different considerations 計畫編號: NSC 95-2221-E-025-007 執行期限: 95/08/01 ~ 96/07/31 主持人:柯昭川教授 台中技術學院統計系 中文摘要 : 本計畫提出一構建模糊可修理系統 ( 具不完美轉換備元之兩個主要操作元件 ) 之隸屬 函數的分析程序,此主要操作元件 ( 含備元 ) 的故障間隔時間和故障之元件的修理時間假設為 具模糊化參數之指數分配,我們研究分析的基本概念,首先應用 -cut 方法將模糊可修理問 題轉換成一組傳統的可修理問題,再基於延展原則 (extension principle) ,以參數非線性規劃描 述該組傳統可修理問題,求解此參數非線性規劃問題,可以得到系統特徵 ( 目標函數值 ) 之上 界及下界顯然 (closed form) ,經由多個不同 水準之數值運算,計算目標函數值之隸屬函數, 由於在這研究中所發展的方法能求出系統特徵值的上界與下界,完整描述系統特徵值,因此 可提供更豐富的資訊在可修理系統分析與設計上。 英文摘要 : This project proposes a procedure to construct the membership functions of the system characteristics of a repairable system with two primary units, one standby unit, and one repair facility when switching to standby may fail. Failure times of primary and standby units are assumed to follow fuzzified exponential distributions, and repair times of the failed units are also assumed to have a fuzzified exponential distribution. The -cut approach is used to extract from the fuzzy repairable system from a family of conventional crisp intervals for the desired system characteristics, determined with a set of parametric nonlinear programs using their membership functions. A numerical example is solved successfully to illustrate the practicality of the proposed approach. Because the system characteristics are governed by the membership functions, more information is provided for use by designers and practitioners. The successful extension of the parameter spaces to fuzzy environments permits the repairable system to have wider practical applications. Keywords : Availability; Fuzzy sets; Mathematical programming; Mean time to failure; Switching failure 1. Introduction Redundancy plays an important role in improving the reliability (or availability) of engineering systems. Standby redundant repairable systems have been studied extensively in the past (Kumar and Agarwal [1], Birolini [2], Yearout et al. [3]), and detailed bibliographies are found in Osaki and Nakagawa [4] and Srinivasan and Subramanian [5]. A number of authors have investigated the two-unit redundant systems under different assumptions (see Goel and Shrivastava [6], de Almeida and Campello de Souza [7], Gururajan and Srinivasan [8], Subramanian and Anantharaman [9], 2 Rajamanickam and Chandrasekar [10], Billinton and Pan [11], Yadavalli et al. [12], Seo et al. [13],Rajamanickam and Chandrasekar [10], Billinton and Pan [11], Yadavalli et al....
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