Structure of an optimal maintenance policy for a Semi-Markovian deteriorating system with major and minor failures
Structure of an optimal maintenance policy for a Semi-Markovian deteriorating system with major and minor failures
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DOI：
10.1002/qre.2998
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发表时间：
2020-08
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影响因子：
--
通讯作者：
N. Tamura
中科院分区：
文献类型：
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作者：
N. Tamura
考虑一个多状态系统，其退化被建模为具有吸收状态的半马尔可夫过程。系统可能会出现重大和轻微故障。当系统达到吸收状态时，发生重大故障，更换系统。同时，每个状态下都可能发生轻微故障。在发生轻微故障时，对系统进行最低限度的修复。对于该系统，我们提出了一个状态年龄相关的更换政策，最大限度地减少预期的长期成本率。我们调查的最优替换策略的结构特性，并表明，控制限制政策下几个假设。
We consider a multi-state system whose deterioration is modeled as a semi-Markov Process with an absorbing state. The system can suffer major and minor failures. When the system reaches the absorbing state, major failure occurs and the system is replaced. Meanwhile, minor failure can occur at each state. Upon the occurrence of minor failure, the system is minimally repaired. For the system, we propose a state-age-dependent replacement policy which minimizes the expected long-run cost rate. We investigate structural properties of the optimal replacement policy and show that a control-limit policy holds under several assumptions.