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On sensitivity analysis of aging multi-state system by using L-z-transform

机译：基于L-z变换的老化多态系统灵敏度分析

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The paper considers a sensitivity evaluation for an aging multi-state system (MSS) under minimal repair. Investigation of an impact of changing different failure/repair rates of different elements in MSS is important for practical reliability engineering. In practical reliability engineering a "curse of dimensionality" (the large number of states that should be analyzed for a multi-state system model) is a main obstacle for sensitivity assessment. Straightforward Markov Method applied to solve this problem requires building a model with numerous numbers of states and solving a corresponding system of differential equations. In order to solve this problem, the paper proposes to use a new method based on an L-z-transform of the discrete-state continuous time Markov process, and on Ushakov's Universal Generating Operator. New sensitivity measures useful for aging MSS reliability analysis were introduced. It was shown that the proposed method drastically reduces a computational burden. A numerical example is presented in order to illustrate the approach.
机译：本文考虑了在最少维修情况下对老化的多状态系统（MSS）进行的灵敏度评估。研究更改MSS中不同元素的不同故障/修复率的影响对于实际的可靠性工程非常重要。在实际的可靠性工程中，“维数诅咒”（应为多状态系统模型分析的大量状态）是灵敏度评估的主要障碍。用于解决此问题的简单马尔可夫方法要求建立具有大量状态的模型并求解相应的微分方程组。为了解决这个问题，本文提出了一种基于离散状态连续时间马尔可夫过程的L-z变换和Ushakov通用生成算子的新方法。引入了对老化的MSS可靠性分析有用的新敏感度度量。结果表明，所提出的方法大大减少了计算负担。给出了一个数值示例，以说明该方法。

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