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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/89642


    Title: 動態備件系統之可靠度分析
    Authors: 潘永源
    Contributors: 楊錦洲
    潘永源
    Date: 1991
    1990
    Issue Date: 2016-05-02 17:02:48 (UTC+8)
    Abstract: 本文以複連方式中的備件系統為探討對象，假設一系統具有若干階段，每一階段皆有一些備件，吾人欲想知道在某些限制下各階段的備件個數為何，才能使系統的可靠度最大。本文首先簡介可靠度的概念、及馬可夫模式，如狀態，轉移機率，失效率等。接者，再對本文所要研究的冷、熱備件系統作一說明，分析，及建立吾人所要用的數學模式，以往的研究，其失效率是固定的，本研究則考慮、失效率是依存於時間的變數。在建立分析模式後，以韋伯分配為實例，且以IREPP法求解，最後再比較兩系統之異同。
    The paper investigates the standby system of redundancy method. Assuming that the operating horizon of the standby system consists of several periods and there are Some spares in each period. The purpose of this research is to realize the required number of spares in order to maximize -the system reliability under some constraints. First, this paper introduces Markov model and concepts of reliability system, such as states, hazard rate and transition probability. Then the authors explain both cold and hot standby systems. Most of the early researches considered the fixed hazard rate which does not match the real situation. Therefore,this paper take the hazard rate as the function of time to set up the analytic model . After the model is developed, the authors solve the problem by IREPP algorithm and by using the Weibull distribution.Finally,this study aims to compare the differences between cold and hot standby systems.
    Reference: [1] Black. G & F. Proschan, "On optimal redundancy" Operations Research. vol 7. 1959. p581-588.
    [2] Dyer. D. " Unification of reIiability /availabiIity /repairability models for markov systems" IEEE Trans. Reliability. vol 38. 1989 Jun,p246-252.
    [3] H.P.Stone Introduction to stochastic processes 1972 Houghton Mifflin Company, Boston
    [4] Inoue. K, S.L. Gandhi & E.J. Henley, "Optimal reliability design of process systems ” IEEE Trans. Reliability, Vol R-23, 1974 Apr, p29-33.
    [5] Mizukami. K “Optimum redundancy for maximun system reliability by the method of convex and integer programming “ Operations Research, vol 16, 1968 Mar-Apr, p392-406.
    [6] Messinger. M & M. Shooman, “Techniques for optimum spare allocation: A tutorial review" IEEE Trans. Reliability. vol R-19. 1970 Nov, p156-166.
    [7J Proschan. f & T.A. Bray. “Optimum redundancy under multiple constraints" Operations Research. vol 13 ,1965 Sep-Oct. p800-814.
    [8] Tillman. F, C. Hwang & W. Kuo” Optimization techniques for system reliability" IEEE Trans. Reliability, vol R-26, 1977 Aug, pl48-155.
    [9] Vujosevic. M & D. Meade, " Reliability evaluation and optimization of redundant dynamic systems " IEEE Trans. Reliability, vol R-34, 1985 Jun, p171-174.
    [10] Wells.C. E & J.L. Brayant, "Reliability characteristics of a markov system with a mission of random duration " IEEE Trans. Reliability, Vol R-34, 1985 Oct, p393-396.
    Description: 碩士
    國立政治大學
    統計學系
    Source URI: http://thesis.lib.nccu.edu.tw/record/#B2002005029
    Data Type: thesis
    Appears in Collections:[Department of Statistics] Theses

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