Numerical solution of the steady-state probability and reliability of a repairable system with three unites
文献类型：期刊论文
| 作者 | Zheng, Fu1,2; Xu, Shuangshuang1; Li, Xin1 |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2015-07-15 |
| 卷号 | 263页码:251-267 |
| 关键词 | Repairable system Numerical solution Availability Mean up-time |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2015.04.015 |
| 英文摘要 | In the present paper, a series-parallel repairable system with three unites was developed under some assumptions. By using the supplementary variables method, probability arguments and limiting transitions, the integro-differential equations governing the behavior of the system were obtained. Since some of the system equations have two hazard functions involved, the numerical simulation methods were used to analyze the reliability of the system. Firstly, combining the boundary conditions and characteristic curve method, the state equations were transformed into a set of integral equations. Secondly, the sequences of approximating functions were constructed for the integral equations which are analogous to the Gauss-Seidel or SOR iterative scheme for solving a system of linear equations. It was showed that the sequences of approximating functions converge pointwise to the solution of integral equations and they have continuously differential solutions. Finally, the numerical solutions of the integral equations, system equations and some reliability indices were presented by building a discretization of approximating sequence. (C) 2015 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11201037] ; National Natural Science Foundation of China[11371070] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000355144500022 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19831]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zheng, Fu |
| 作者单位 | 1.Bohai Univ, Dept Math, Jinzhou 121013, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zheng, Fu,Xu, Shuangshuang,Li, Xin. Numerical solution of the steady-state probability and reliability of a repairable system with three unites[J]. APPLIED MATHEMATICS AND COMPUTATION,2015,263:251-267. |
| APA | Zheng, Fu,Xu, Shuangshuang,&Li, Xin.(2015).Numerical solution of the steady-state probability and reliability of a repairable system with three unites.APPLIED MATHEMATICS AND COMPUTATION,263,251-267. |
| MLA | Zheng, Fu,et al."Numerical solution of the steady-state probability and reliability of a repairable system with three unites".APPLIED MATHEMATICS AND COMPUTATION 263(2015):251-267. |
入库方式： OAI收割
来源：数学与系统科学研究院
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