| 两部件冷储备系统可用度数值解法 |
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| 引用本文： | 陶建峰,刘成良,王少萍.两部件冷储备系统可用度数值解法[J].上海交通大学学报,2005,39(9):1476-1480. |
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| 作者姓名： | 陶建峰 刘成良 王少萍 |
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| 作者单位： | 1. 上海交通大学,机械与动力工程学院,上海,200030
2. 北京航空航天大学,自动化科学与电气工程学院,北京,100083 |
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| 摘 要： | 针对工作寿命和维修时间为一般分布的两部件冷储备系统可用度更新方程解算困难，给出了求取系统可用度的数值算法，并证明了该方法的收敛性。理论和实例分析表明，当系统部件的工作寿命和维修时间分布有三阶连续导数且有界时，利用数值解法可以容易地获得系统的瞬态可用度。
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| 关 键 词： | 冷储备系统 马尔可夫更新过程 伏尔特拉方程 数值解 可用度 |
| 文章编号： | 1006-2467(2005)09-1476-05 |
| 收稿时间： | 2004-10-08 |
| 修稿时间： | 2004年10月8日 |
The Numerical Solution of Availability Renewal Equations on Two Units Cold-Standby System |
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| TAO dian-feng,LIU Cheng-liang,WANG Shao-ping.The Numerical Solution of Availability Renewal Equations on Two Units Cold-Standby System[J].Journal of Shanghai Jiaotong University,2005,39(9):1476-1480. |
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| Authors: | TAO dian-feng LIU Cheng-liang WANG Shao-ping |
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| Institution: | 1. School of Mechanical Eng. , Shanghai Jiaotong Univ. , Shanghai 200030, China; 2.School of Automatic Science and Electrical Eng. , Beijing Univ. of Aeronautics and Astronautics, Beijing 100083 |
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| Abstract: | Directing to the resolving difficulty of the availability renewal equations on two units cold-standby system with general failure and repair time distributions, this paper presented a numerical algorithm to solve such system's availability and proved the arithmetic's convergence. Comparing the numerical solution with the algorithm based on Laplace transform, it indicates that the error of the numerical solution is small and acceptable. The application results show that the numerical solution can easily realize the resolution for system's availability renewal equations when the life distribution and repair time distribution have bounded derivatives up to the third. |
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| Keywords: | cold-standby system Markov renewal process Valterra equation numerical solution availability |
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