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Reliability, Availability and Cost Analysis of Large Multi-State Systems with Ageing Components

机译：具有老化组件的大型多状态系统的可靠性，可用性和成本分析

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Basic notions of the system multi-state reliability analysis are introduced. The multi-state series system with degrading components is defined and its exact reliability function is determined. The limit reliability function for large multi-state systems is introduced. An auxiliary theorem on limit reliability function of a large multi-state series system, which is necessary for its approximate reliability evaluation, is presented. On the basis of this auxiliary theorem some corollaries are formulated and proved and then applied to approximate reliability and availability determination of a large multi-state series system. Evaluations are given of a multi-state system reliability function, its mean lifetimes in the state subsets and their standard deviations, mean value and variance of the lifetime up to and the number of exceeding the system reliability critical state and its availability coefficient. The cost analysis of a multi-state series system is performed as well. The results are applied to a large telecommunication network reliability, availability and cost analysis.
机译：介绍了系统多状态可靠性分析的基本概念。定义了具有退化组件的多状态串联系统，并确定了其确切的可靠性函数。介绍了大型多状态系统的极限可靠性功能。提出了一个大型多状态串联系统极限可靠度函数的辅助定理，该辅助定理对其近似可靠度进行评估是必要的。基于该辅助定理，可以推论和证明一些推论，然后将其推论用于大型多状态级数系统的近似可靠性和可用性确定。对多状态系统可靠性函数，其在状态子集中的平均寿命及其标准偏差，寿命的平均值和方差以及直至超过系统可靠性关键状态及其可用系数的数量进行了评估。还进行了多状态串联系统的成本分析。结果被应用于大型电信网络的可靠性，可用性和成本分析。

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