Performance evaluation of multi-state degraded systems with minimal repairs and imperfect preventive maintenance
Performance evaluation of multi-state degraded systems with minimal repairs and imperfect preventive maintenance
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DOI：
10.1016/j.ress.2009.08.004
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发表时间：
2010-02
期刊：
影响因子：
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通讯作者：
I. Soro;M. Nourelfath;D. Aït-Kadi
中科院分区：
文献类型：
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作者：
I. Soro;M. Nourelfath;D. Aït-Kadi
本文建立了多状态退化系统在最小维修和不完全预防性维修下的可用度、生产率和可靠性函数的评估模型。系统的状态被认为随着使用而降级。这些退化可能会导致系统效率的降低。假设系统可以连续地退化为几个离散状态，这些状态的特征是不同的性能比率，从完全功能到完全故障。当退化水平达到某一临界阈值时，可以观察到后者，例如系统效率可能降低到不可接受的限度。此外，系统可以在任何运行或可接受的状态下随机发生故障，并且可以修复。此修复操作使系统恢复到其先前的运行状态，而不影响其故障率(即最小修复)。使用的预防性维护策略建议，如果系统达到最后一个可接受的降级状态，则将其恢复到效率更高的状态之一。在考虑客户需求为常量的情况下，将系统建模为连续时间的马尔可夫过程，以评估其瞬时和平稳的性能指标。最后给出了一个数值算例来说明该模型的有效性。
In this paper, we develop a model for evaluating the availability, the production rate and the reliability function of multi-state degraded systems subjected to minimal repairs and imperfect preventive maintenance. The status of the system is considered to degrade with use. These degradations may lead to decrease in the system efficiency. It is assumed that the system can consecutively degrade into several discrete states, which are characterized by different performance rates, ranging from perfect functioning to complete failure. The latter is observed when the degradation level reaches a certain critical threshold such as the system efficiency may decrease to an unacceptable limit. In addition, the system can fail randomly from any operational or acceptable state and can be repaired. This repair action brings the system to its previous operational state without affecting its failure rate (i.e., minimal repair). The used preventive maintenance policy suggests that if the system reaches the last acceptable degraded state, it is brought back to one of the states with higher efficiency. Considering customer demand as constant, the system is modeled as a continuous-time Markov process to assess its instantaneous and stationary performance measures. A numerical example is given to illustrate the proposed model.