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Efficient analysis of warm standby systems using central limit theorem

机译:使用中央极限定理高效分析热备用系统

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In a warm standby sparing system, the standby units have time-dependent failure behavior; they have different failure parameters or in general distributions before and after they are used to replace the on-line faulty units. Such time-dependent behavior makes the reliability analysis of warm standby system a challenging task. Existing approaches to analyzing the reliability of warm standby systems include Markov-based methods, simulation-based methods, and combinatorial me thods. Those approaches, however, have one or more of the following limitations: 1) requiring long computation time especially when results with high degree of accuracy are desired, 2) requiring exponential time-to-failure distribution for system components, and 3) involving difficult tasks of computing convolution of multiple integrals. In this paper, based on the central limit theorem, a computationally-efficient approximate method is proposed for the reliability analysis of warm standby systems. The proposed approach has no limitation on the time-to-failure distributions for the system components. Several case studies using different time-to-failure distributions and system sizes are performed to demonstrate the application of the proposed approach.
机译:在热备用备用系统中,备用单元具有与时间有关的故障行为。它们具有不同的故障参数或在用于替换在线故障单元之前和之后的总体分布。这种与时间有关的行为使热备用系统的可靠性分析成为一项艰巨的任务。用于分析热备用系统可靠性的现有方法包括基于马尔可夫的方法,基于仿真的方法和组合方法。但是,这些方法具有以下一个或多个限制:1)需要较长的计算时间,尤其是在需要高精度的结果时; 2)需要系统组件的指数失效时间分布,以及3)涉及困难计算多个积分的卷积任务。本文基于中心极限定理,提出了一种计算效率高的近似方法,用于热备用系统的可靠性分析。所提出的方法对系统组件的故障时间分布没有限制。使用不同的失效时间分布和系统大小进行了一些案例研究,以证明所提出方法的应用。

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