| 修理工休假的温贮备可修系统的瞬时可用度分析 |
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| 引用本文： | 张静,岳德权,王丽花.修理工休假的温贮备可修系统的瞬时可用度分析[J].中山大学学报(自然科学版),2011,50(5). |
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| 作者姓名： | 张静 岳德权 王丽花 |
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| 作者单位： | 燕山大学理学院,河北秦皇岛,066004 |
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| 基金项目： | 国家自然科学基金资助项目(71071133) |
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| 摘 要： | 研究了R个修理工进行同步多重休假的带有多个温贮备部件的可修系统，同时考虑了故障部件可能止步的现象。文中利用Markov过程理论建立了系统状态概率的微分差分方程组，利用矩阵理论和Laplace变换反演的方法求解出了系统故障状态概率的精确表达式，从而得到了系统的瞬时可用度和稳态可用度的精确表达式。
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| 关 键 词： | 止步 温贮备 同步多重休假 瞬时可用度 |
| 收稿时间： | 2011-04-25; |
Instantaneous Availability Analysis of a repairable System with Warm Standbys and Repairmen under Vacations |
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| ZHANG Jing,YUE Dequan,WANG Lihua.Instantaneous Availability Analysis of a repairable System with Warm Standbys and Repairmen under Vacations[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2011,50(5). |
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| Authors: | ZHANG Jing YUE Dequan WANG Lihua |
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| Institution: | ZHANG Jing,YUE Dequan,WANG Lihua (College of Sciences,Yanshan University,Qinhuangdao 066004,China) |
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| Abstract: | A repairable system with warm standbys and R repairmen with multiple synchronous vacations is studied.At the same time,balking of fault units is also considered.The differential-difference equations of state probabilities are obtained by Markov process theory,and the exact expression of failure state probability is derived by using matrix theory and inverse of Laplace-transform.Then instantaneous availability and steady-state availability of the system is presented. |
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| Keywords: | balking warm standbys multiple synchronous vacations instantaneous availability |
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