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Discretizing continuous-time continuous-state deterioration processes, with an application to condition-based maintenance optimization
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DOI：10.1016/j.ress.2019.03.006.png)
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Abstract
En 中文
We present an approach for discretizing stationary continuous-time continuous-state non-decreasing deterioration processes. This results in a discrete-time Markov chain that is represented by its transition probability matrix. Based on this approach, the easier specification of the more realistic continuous-time continuous-state models can be combined with the better analytical tractability of the discrete-time discrete-state models. We consider the gamma deterioration process as a special case and use the discretization approach combined with matrix algebra to optimize condition-based maintenance for a continuously monitored single-unit system.
Keywords:
Deterioration process
Gamma process
Discretization
Markov chain
Condition-based maintenance
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