基于冲击模型劣化系统的不完全维修决策

以针对冲击失效劣化系统, 提出一种新的δ-冲击失效模型, 并基于该模型研究了N型更换策略下的不完全维修决策方法. 首先通过扩充失效状态, 在δ-冲击模型的基础上建立新的δ-冲击失效模型; 其次以最小平均费用率为目标、可用度为约束, 建立了N型更换策略下系统的不完全维修决策模型; 最后用一个算例验证了该方法的合理性, 并分析了参数对策略$N$的灵敏度.

Imperfect maintenance decision for a deteriorating system based on shock model

With respect to the deteriorating system whose failure was induced by external shock, this paper proposed a new δ-shock failure model and studied an imperfect maintenance method based on this shock model with the replacement policy N. Firstly, it presented a new δ-shock failure model on the basis of δ-shock model by extending failure states, and then established an imperfect maintenance decision model for this system, which achieved the minimum the long-run average cost per unit time conditional on the constraint of availability; finally, it provides a numerical example to demonstrate the usefulness of the proposed method, and also studies the sensitivities for the policy N with respect to parameters.