Markovian Model-Based Sensitivity Analysis of Maintenance System

L. Pokorádi, J. Gáti
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引用次数: 1

Abstract

Maintenance is one of the most important territories of engineering. From a mathematical point of view, maintenance is a discrete state space stochastic process without after-effects, so it can be modelled as a Markov-chain. After the determination of probability densities of changes of operational states and setting up the transition probability matrix, a matrix-algebraic method can be used for investigating these processes with systems approach analysis. This paper is aimed to discuss the possibilities of the use of simulation-based weighted sensitivity analysis of maintenance systems and processes. The proposed method helps decision making in maintenance management in cases of different engineering areas.
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基于马尔可夫模型的维修系统灵敏度分析
维修是工程领域最重要的领域之一。从数学的角度来看,维修是一个离散的状态空间随机过程,没有后效,因此可以用马尔可夫链来建模。在确定运行状态变化的概率密度并建立转移概率矩阵后,可以采用矩阵-代数方法对这些过程进行系统分析。本文旨在讨论使用基于仿真的维修系统和过程加权灵敏度分析的可能性。该方法有助于不同工程领域的维修管理决策。
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