On Redundancy Allocation to Series and Parallel Systems of Two Components |
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| Authors: | Rongfang Yan Bin Lu Xiaohu Li |
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| Affiliation: | 1. Department of Mathematics, College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China;2. yanrf@nwnu.edu.cn;4. Department of Mathematical Sciences, Stevens Institute of Technology, Hoboken, New Jersey, USA |
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| Abstract: | AbstractFor two components and one standby redundancy, we develop a characterization on the hazard rate order and the reversed hazard rate order of the redundant system lifetime in the context of mutually independent components lifetimes. Also, the likelihood ratio order is derived on the lifetime of the series system with two components lifetimes and two matched active redundancies lifetimes both following the proportional hazard model. |
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| Keywords: | Hazard rate order Likelihood ratio order Proportional hazards Reversed hazard rate order Stochastic order |
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