| R个修理工N-策略休假的温贮备机器维修问题的可靠度 |
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| 引用本文： | 张静,岳德权.R个修理工N-策略休假的温贮备机器维修问题的可靠度[J].系统工程理论与实践,2013,33(8):2021-2026. |
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| 作者姓名： | 张静 岳德权 |
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| 作者单位： | 燕山大学 理学院,秦皇岛 066004 |
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| 基金项目： | 国家自然科学基金，河北省自然科学基金，河北省教育厅科学研究计划河北省高等学校自然科学研究重点 |
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| 摘 要： | 文章研究了带有多个温贮备部件的机器维修问题,系统中有R个修理工,修理工进行N-策略休假. 同时还考虑了故障部件止步和中途退出的现象.文中利用Markov过程理论建立了系统状态概率满足的微分差分方程组, 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,得到了系统可靠度及首次故障前的平均时间的精确表达式,并给出了数值结果.
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| 关 键 词： | 可靠度 止步 中途退出 温贮备 N-策略 |
| 收稿时间： | 2011-05-20 |
Reliability of a machine repair system with warm standbys and R repairmen under N-policy vacations |
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| ZHANG Jing
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YUE De-quan.Reliability of a machine repair system with warm standbys and R repairmen under N-policy vacations[J].Systems Engineering —Theory & Practice,2013,33(8):2021-2026. |
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| Authors: | ZHANG Jing YUE De-quan |
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| Institution: | College of Sciences, Yanshan University, Qinhuangdao 066004, China |
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| Abstract: | In this paper, a machine repair system with warm standbys was studied. There were R repairmen under N-policy vacations in the system. Balking and reneging of fault components was also considered. Differential-difference equations of state probabilities are obtained by using Markov process theory, and the exact expression of failure state probability is derived by using matrix theory and the inverse of Laplace transform. Then reliability and the mean time to the first failure of the system are presented. Finally, numerical results are presented. |
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| Keywords: | reliability balking reneging warm standbys N-policy |
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