| 两种不同部件串联可修复系统的最优控制 |
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| 引用本文： | 刘艳霞,张欣,谢瑞军,吕晓娜,吴文英,蔡海涛.两种不同部件串联可修复系统的最优控制[J].首都师范大学学报(自然科学版),2012,33(6):5-8. |
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| 作者姓名： | 刘艳霞 张欣 谢瑞军 吕晓娜 吴文英 蔡海涛 |
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| 作者单位： | 北京化工大学北方学院,河北三河,065210 |
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| 摘 要： | 针对修复时间服从任意分布的两种不同部件串联可修复系统的数学模型，借助Volterra算子方程证明了系统动态解的存在唯一性，在Banach空间中，用范数指标泛函作为衡量系统可控性的标准，研究了系统的最优控制问题．
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| 关 键 词： | 串联，唯一性，最优控制 |
The Optimal Control of a Series Repairable Systemwith Two Non-Identical Units |
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| Liu Yanxia
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Zhang Xin
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Xie Ruijun
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Lv Xiaona
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Wu Wenying
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Cai Haitao.The Optimal Control of a Series Repairable Systemwith Two Non-Identical Units[J].Journal of Capital Normal University(Natural Science Edition),2012,33(6):5-8. |
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| Authors: | Liu Yanxia Zhang Xin Xie Ruijun Lv Xiaona Wu Wenying Cai Haitao |
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| Institution: | Liu Yanxia Zhang Xin Xie Ruijun Lv Xiaona Wu Wenying Cai Haitao(North College of Beijing University of Chemical Technology,Sanhe,Hebei 065210) |
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| Abstract: | Dynamic solution of a series repairable system associated with two non-identical units and arbitrarily distributed repair times is considered in this paper.The existence and uniqueness of the dynamic solution is proved by using Volterra operator equation.By using the norm index function as the controllable criterion,the optimal control problem of the system is researched in Banach space. |
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| Keywords: | series unique existence optimal control |
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