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基于修理延迟下单部件三状态(工作、修理延迟、修理)可修系统的更新模型,提出了带有故障小修的三状态(工作、故障小修、修理)更新模型。运用简捷的方法把更新方程化为微分方程得到其解析表达式。结果显示模型的变化使得稳态可用度提升。使用一套波动理论,其中包括基础的波动定义和相关的波动判定引理。依此给出了瞬时可用度波动产生的条件。通过固定故障率,分析修复率对瞬时可用度波动的影响。同时结合实际背景,提供了抑制波动的方法,即控制平均修理时间小于平均故障时间的1/4。仿真结果与理论相一致。
Based on the updated model of repairable system with three components (repair, delay and repair) of delayed single parts, an updated model of three states with minor repairs (work, minor repairs and repairs) was proposed. The simple method is used to convert the update equation into a differential equation to obtain its analytical expression. The results show that the change of model makes the steady state availability increase. A set of wave theory is used, including fundamental wave definitions and related wave decision leases. Based on this, the conditions of instantaneous availability fluctuation are given. By fixing the failure rate, the effect of repair rate on the instantaneous availability fluctuation is analyzed. At the same time, with the actual background, provides a way to suppress fluctuations, that is, control the average repair time is less than 1/4 of the average fault time. The simulation results are consistent with the theory.