| 具有热储备可修复平行系统稳定性及可靠性分析 |
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| 引用本文： | 王丹,张玉峰,张军.具有热储备可修复平行系统稳定性及可靠性分析[J].数学的实践与认识,2007,37(20):87-93. |
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| 作者姓名： | 王丹 张玉峰 张军 |
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| 作者单位： | 延边大学理学院,数学系,吉林,延吉,133002 |
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| 摘 要： | 通过对具有热储备可修复平行系统模型的研究,证明了系统解的稳定性,limt→∞p→(.,t)=p→,同时完成了对系统解的可靠性的证明,瞬态可靠性大于等于其牢固可靠性,既p0(t)≥p0*=limt→∞p0(t).
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| 关 键 词： | 稳定性 可靠性 C0-半群 |
| 修稿时间： | 2007年5月4日 |
Stability and Reliability Analysis of a Parallel Reparable System with Warm Standby |
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| WANG Dan,ZHANG Yu-feng,ZHANG Jun.Stability and Reliability Analysis of a Parallel Reparable System with Warm Standby[J].Mathematics in Practice and Theory,2007,37(20):87-93. |
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| Authors: | WANG Dan ZHANG Yu-feng ZHANG Jun |
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| Abstract: | This paper presents asymptotic stability and reliability of a parallel reparable system with warm standby.First,we prove the nonnegative time-dependent solution converges to its statie solution,that is limt→∞ p→(·,t)=p→.Second we finish the proof of reliability of the system ″instantaneous reliability is not less than the stable reliability″,that is p0(t)≥p*0=limt→∞ p0(t). |
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| Keywords: | stability reliability C0-semigroup |
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