Reliability analysis of k-out-of-n load-sharing systems

S. Amari, Relex Robert Bergman
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引用次数: 75

Abstract

Load-sharing systems have several practical applications. In load-sharing systems, the failure of a component will result in a higher load on each of the surviving components, thereby inducing a higher failure rate for them. This introduces failure dependency among the load-sharing components, which in turn increases the complexity in analyzing these systems. Therefore, in spite of a wide range of applications for load-sharing systems, the methods for computing the reliability of load-sharing systems are limited. In this paper, we first discuss the modeling concepts of load-sharing systems and explain the role of accelerated life testing models in analyzing these systems. We also describe existing analysis methods and their limitations in analyzing load-sharing systems. In modeling load-sharing systems with general failure distributions, it is important to consider an appropriate model to incorporate the effects of loading history. In this paper, we explore using the cumulative exposure model to account for the effects of loading history. We present an efficient method to compute the reliability and mean life of k-out-of-n load-sharing systems with identical or non-identical components following general failure distributions. The method can solve large k-out-of-n systems in a short time. Further, we show how to use the existing computational procedures for solving stochastic reward models for solving load-sharing models. In addition to the exact solutions, we also propose efficient approximations and bounds that can be computed easily. The computational procedure and the bounds proposed in this paper help reliability engineers to accurately model the load-sharing systems that arise in many practical situations.
k-out- n负荷共享系统可靠性分析
负荷分担系统有几个实际应用。在负载共享系统中,一个组件的故障将导致每个幸存组件的更高负载,从而导致更高的故障率。这在负载共享组件之间引入了故障依赖,从而增加了分析这些系统的复杂性。因此,尽管负荷分担系统有着广泛的应用,但计算负荷分担系统可靠性的方法是有限的。在本文中,我们首先讨论了负载共享系统的建模概念,并解释了加速寿命试验模型在分析这些系统中的作用。我们还描述了现有的分析方法及其在分析负荷共享系统方面的局限性。在对具有一般失效分布的荷载分担系统进行建模时,考虑一个适当的模型来考虑荷载历史的影响是很重要的。在本文中,我们探索使用累积暴露模型来解释加载历史的影响。我们提出了一种有效的方法来计算具有相同或不相同组件的k- of-n负载共享系统的可靠性和平均寿命。该方法可以在短时间内求解大型k-out- n系统。此外,我们展示了如何使用现有的计算程序来求解随机奖励模型来求解负载共享模型。除了精确解外,我们还提出了易于计算的有效近似值和边界。本文提出的计算过程和边界有助于可靠性工程师准确地对许多实际情况下出现的负荷分担系统进行建模。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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