| 两同型部件温贮备可修系统主算子性质 |
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| 引用本文： | 韩筱爽,孙洪维,张玉峰.两同型部件温贮备可修系统主算子性质[J].数学的实践与认识,2014(18). |
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| 作者姓名： | 韩筱爽 孙洪维 张玉峰 |
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| 作者单位： | 延边大学科技学院;延边大学理学院数学系; |
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| 摘 要： | 研究了两同型部件温贮备可修系统.运用C_0半群理论,通过修复率均值的观念,对系统主算子的谱上界进行了估值,并得到该谱上界即为修复率均值的相反数.然后运用了共尾的概念及相关的理论,得到了系统主算子的谱上界与系统主算子产生的半群的增长界相等,从而得到其增长界也是修复率均值的相反数.
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| 关 键 词： | 可修系统 C_0半群理论 系统主算子 谱上界 共尾 增长界 |
Properties of the Main Operator of the 1-unit Repairable System with an Identical Warm Standby |
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| Abstract: | We investigate the repairable system which is an 1-unit system supported by an identical warm standby.Using Co-semigroup theory and the concept of the mean of the service rate function,we estimate the upper spectral bound of the main operator and obtain that its value is the opposite number of the mean of service rate functions.Then we show the growth bound of the main operator share the same value with its upper spectral bound by using the concept of cofinal and relative theory. |
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| Keywords: | repairable system non-repairable system C_0-semigroup theory main operator upper spectral bound cofinal growth bound |
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