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標題: 比較兩個系統具有暖備零件與不同的 不完全復原之效益度
Comparison of availability between two systems with warm standby components and different imperfect coverage
作者: 方雨強
Fang, Yu-Chiang
關鍵字: Availability
imperfect coverage
recursive method
supplementary variable
warm standby components
出版社: 應用數學系所
引用: [1] T.F. Arnold, The concept of coverage and its effect on the reliability model of a repairable system. IEEE Trans. Comput. C-22 (1973) 251-254. [2] J.W. Cohen, The single server queue. North-Holland, Amsterdam, 1969. [3] D.R. Cox, The analysis of non-Markovian stochastic processes by the inclusion of supplementary variables. Proc. of the Cambridge Philosophical Soc. 51 (1955) 433-441. [4] J.B. Dugan, K.S. Trivedi, Coverage modeling for dependability analysis of fault-tolerant systems. IEEE Trans. Comput. 38 (1989) 775-787. [5] C. Galikowsky, B.D. Sivazlian, P. Chaovalitwongse, Optimal redundancies for reliability and availability of series systems. Microelectron. and Reliability 36 (1996) 1537-1546. [6] U.C. Gupta, TSS S. Rao, A recursive method compute the steady state probabilities of the machine interference model: (M/G/1)/K. Comput. and Oper. Res. 21 (1994) 597-605. [7] U.C. Gupta, TSS S. Rao, On the M/G/1 machine interference model with spares. Eur. J. Oper. Res. 89 (1996) 164-171. [8] P. Hokstad, A supplementary variable technique applied to the M/G/1 queue. Scandinavian J. Statist. 2 (1975) 95-98. [9] L. Takacs, Delay distributions for one line with Poisson input, general holding times and various orders of service, Bell Sys. Tech. J. 42 (1963) 487-504. [10] K.S. Trivedi, Probability and Statistics with Reliability, Queueing and Computer Science Applications. 2nd Edition. John Wiley & Sons, New York, 2002. [11] K.-H. Wang, L.-W. Chiu, Cost benefit analysis of availability systems with warm standby units and imperfect coverage. Appl. Math. Comput. 172 (2006) 1239-1256. [12] K.-H. Wang, C.-C.Kuo, Cost and probabilistic analysis of series systems with mixed standby components. Appl. Math. Modelling 24 (2000) 957-967. [13] K.-H. Wang, Y.-J. Liou, W.L. Pearn, Cost benefit analysis of series systems with warm standby components and general repair times. Math. Meth. Oper. Res. 61 (2005) 329-343. [14] K.-H. Wang, W.L. Pearn, Cost benefit analysis of series systems with warm standby components. Math. Meth. Oper. Res. 58 (2003) 247-258.
摘要: 此篇論文分析研究兩個效益系統具有暖備備用零件與不同的不完全復元。每台零件(包括主要零件與備用零件)之故障時間服從指數分配,而零件修復時間服從一般分配。我們假設主要零件故障之復元率不同於備用零件故障之復元率。利用遞迴方法與輔助變數技巧,針對兩種不同的系統,推導出穩態模式下的效益性 (Av)。最後,在利用一些電腦軟體,如:Matlab與Maple,比較五種不同的修復時間分配(如:指數分配、gamma分配、均勻分配、deterministic分配、常態分配)分別在兩種系統下的效益性 (Av),並比較其效益性之大小。
In this thesis, we study two availability systems with warm standby components and different imperfect coverage. The time-to-failure and the time-to-repair of the active and standby components are assumed to be exponentially and generally distributed, respectively. We assume that the coverage factor of the active-component failure is different from that of the standby-component failure. We present a recursive, using the supplementary variable technique and treating the supplementary variable as the remaining repair time, to develop the steady-state availability, (or Av), for two systems. An efficient Maple computer program is utilized to calculate the availability of two systems. Comparisons are performed for five different repair time distributions such as exponential, gamma, uniform, deterministic, and normal.
其他識別: U0005-0507200713163700
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