| 两相同部件温贮备可修的人机系统解的性质分析 |
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| 引用本文： | 郭卫华.两相同部件温贮备可修的人机系统解的性质分析[J].数学的实践与认识,2003,33(7):88-95. |
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| 作者姓名： | 郭卫华 |
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| 作者单位： | 驻马店教育学院数学系,河南,驻马店,463000 |
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| 基金项目： | 河南省教育厅自然科学基金项目 ( 2 0 0 0 1 1 0 0 1 4) |
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| 摘 要： | 本文首先用强连续算子半群理论证明了两相同部件温贮备可修的人机系统动态非负解的存在唯一性 ,然后证明了 0是系统主算子的本征值 ,并得到 0本征值对应的本征向量是正的 ,从而系统存在稳态正解 .
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| 关 键 词： | 共因故障 温贮备 人机系统 算子半群 |
| 修稿时间： | 2002年10月6日 |
The Analysis of Repairable, Warm Standby, Human & Machine System with Two Identical Units |
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| GUO Wei,hua.The Analysis of Repairable, Warm Standby, Human & Machine System with Two Identical Units[J].Mathematics in Practice and Theory,2003,33(7):88-95. |
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| Authors: | GUO Wei hua |
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| Abstract: | In present paper, we study the well posed problem of a system which is the standby, repairable, human and machine with two identical units, we prove by the semigroup theory that there exists unique a nonnegative solution of the system. Further, we show that 0 is an eigenvalue of the system and the corresponding eigenvector is nonnegative. Therefore the stead state of the system follows. |
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| Keywords: | common cause failure warm standby human & machina sytem semigroups of operators |
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