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包含多状态部件系统的维修策略优化:一种近似方法

Maintenance optimisation of a system with multistate components: an approximate approach

中文摘要英文摘要

研究包含多状态部件系统的维修策略优化具有很重要的理论和现实意义。考虑部件之间的相互依赖时,系统的状态就变成了各部件状态的一个组合,因此常用的马尔可夫方法无法对于大型系统状态空间进行分析。本文提出了一种近似方法来对多状态部件系统进行稳态分析。数值模拟实验证明,该新方法的稳态分析结果与仿真方法的结果相近,但比仿真方法更高效。更重要的是,该近似方法引入的误差会随着系统中部件数的增加而减小。另外采用这种近似稳态分析方法的混合维修优化方法可以在效率和准确性上找到平衡点。

he maintenance optimisation of a system with multistate components is a research topic with practical significance. When the dependence among the components is considered, the state of the system becomes the combinations of the states of components. The commonly used Markovian analysis is then not practical for the large system state space. This paper developed an approximate approach to perform the steady-state analysis of the system. The developed method is combined with the simulation-based method to optimise the maintenance strategy of a system with multiple components. The numerical study show that the steady-state analysis results of the developed approximate method are close to that of the simulation-based method, though the approximate method is much more efficient than the simulation-based method. More importantly, the errors introduced by the approximate approach decrease with the number of components in the system. The numerical study also shows that the hybrid method of maintenance optimisation can find a balance between the efficiency and accuracy

周一帆、张磊

自动化技术经济自动化基础理论自动化技术、自动化技术设备

多状态系统维修优化马尔可夫过程稳态分析

multistate systemsmaintenance optimisationMarkovian processSteady-state analysis

周一帆,张磊.包含多状态部件系统的维修策略优化:一种近似方法[EB/OL].(2015-11-26)[2025-08-19].http://www.paper.edu.cn/releasepaper/content/201511-642.点此复制

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