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題名 | 一些關於可修護置換系統之刻劃結果=Some Characterizations of Repairable Replacement Systems |
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作者 | 蘇志成; | 書刊名 | 黃埔學報 |
卷期 | 47 民93.10 |
頁次 | 頁97-102 |
分類號 | 319.16 |
關鍵詞 | 小修; 順序統計量性質; 置換; 非齊性波松過程; 紀錄值; Minimal repair; Order statistic properties; Replacement; Nonhomogeneous poisson process; Record values; |
語文 | 中文(Chinese) |
中文摘要 | 考慮一可修護系統,假設其修護的時間可忽略不計。系統自時間0開始運作,當系統失效時,有p(t)的機率進行置換更新,1-p(t)的機率進行小修,其中t表示失效時系統的年齡。這裡小修是指系統修護後的狀態和失效時的狀態一樣,系統年齡不變,而置換更新後,系統的年齡歸零重新運作。此可修護系統有一些類似非齊性波松過程的順序統計量性質。在本文中,我們將探討此可修護系統其他的一些性質,並得到一些相關的刻劃結果。 |
英文摘要 | Consider a repairable system, the repair times are assumed to be negligible. The system is put in operation at time 0. On the system's failure at some time, it undergoes a replacement with probability p(t) or a minimal repair with probability 1-p(t), where t is the age of the system in use at the failure time. A replacement reverts the system's effective age to 0, whereas a minimal repair leaves the system's effective age unchanged from its effective age at failure. The repairable system has some properties that are analogous to the order statistic properties of nonhomogeneous Poisson process. In this paper, we will study some other properties of the repairable system. Some characterizations will also be investigated. |
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