| 两不同部件并联可修系统稳态可靠度的最优控制 |
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| 引用本文： | 贾诺,王涛,金鸿章.两不同部件并联可修系统稳态可靠度的最优控制[J].工程数学学报,2009,26(5). |
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| 作者姓名： | 贾诺 王涛 金鸿章 |
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| 作者单位： | 1. 哈尔滨工程大学自动化学院,哈尔滨,150001;哈尔滨师范大学数学科学学院,哈尔滨,150025
2. 哈尔滨工程大学自动化学院,哈尔滨,150001 |
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| 摘 要： | 本文针对修复时间服从任意分布的两不同部件并联可修系统的模型,将系统稳态可靠度的最优控制问题转化为求指标泛函在Banach空间上的极值问题,并通过证明指标泛函在Banach空间中的序列弱紧集上下半弱连续给出了最优控制元的存在性.
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| 关 键 词： | 可修复系统 下半弱连续 最优控制 |
Optimal Control for Steady-state Reliability of a Parallel Repairable System with Two Non-identical Units |
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| JIA Nuo,WANG Tao,JIN Hong-zhang.Optimal Control for Steady-state Reliability of a Parallel Repairable System with Two Non-identical Units[J].Chinese Journal of Engineering Mathematics,2009,26(5). |
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| Authors: | JIA Nuo WANG Tao JIN Hong-zhang |
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| Affiliation: | JIA Nuo1,2,WANG Tao1,JIN Hong-zhang1 (1-College of Automation,Harbin Engineering University,Harbin 150001,2-College of Mathematics Science,Harbin Normal University,Harbin 150025) |
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| Abstract: | We consider a parallel repairable system with two non-identical units and arbitrarily distributed repair times. The existence of the optimal control is established by transferring the optimal control problem on the arrival to the expected probability for steady-state reliability into a minimum problem,whose the index functional is proved to be weakly lower semi-continuous on the weakly com-pact sequence sets in Banach space. |
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| Keywords: | repairable system weakly lower semi-continuous optimal control |
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