Load sharing M-out of-N: G system with non-identical components subject to common cause failure

Load sharing M-out of-N: G system with non-identical components subject to common cause failure
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DOI:
10.1504/ijmor.2012.048932
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发表时间:
2012-09
期刊:
Int. J. Math. Oper. Res.
影响因子:
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通讯作者:
Madhu Jain;Ritu Gupta
Madhu Jain;Ritu Gupta
中科院分区:
其他
文献类型:
--
作者:
Madhu Jain;Ritu Gupta

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研究了由不同部件和不可修复部件组成的负载分担M-out-out-N:G冗余系统。组件在故障发生后立即从系统中移除,每个存活的组件分担不同的负载量。假设部件的寿命服从指数分布,具有不同的故障率。为此,采用拉普拉斯变换技术求解微分方程组。给出了系统可靠性和其他一些性能指标的闭合解析表达式。给出了数值结果,验证了分析结果的正确性。
This paper deals with the load sharing M-out of-N: G redundant system consisting of non-identical and non-repairable components. The components are removed from the system immediately after the failure and each of surviving components shares different amount of load. The components are assumed to have exponential life time distributions with different failure rates. For the solution purpose, Laplace transform technique is used to solve the system of differential equations. We provide a closed form analytical expression for the reliability and some other performances indices of the system. The validation of analytical results is also demonstrated by providing the numerical results.