基于期望效益的随机检修系统决策模型研究

本文研究了一类带检修退化可修系统的维修策略问题,为提高系统的安全性和可靠性,在系统故障前增加了随机检修,并在此种情况下对维修模型进行了研究。在假定系统检修"修复如旧"、系统逐次故障后的维修时间构成随机递增的几何过程和系统逐次故障后的工作时间构成随机递增的几何过程的情况下,选择系统的故障次数N为更换策略,利用单调的几何过程,求出了系统经长期运行单位时间内的期望效益的表达式.最后通过数值例子对所得结果进行了分析。

Research on Decision-Making Model Based on Expected Benefit for Random Overhauling System

The problem on replacement policies for a random checking repairable system is studied in this paper.In order to improve systems safety and reliability,a random overhauling before system failures is considered,and the repairable models are studies in this case.Under the assumption that the random over-hauling is as good as old,the successive survival time of the system constitutes a decreasing geometric process stochastically and the consecutive repair time of the system constitutes an increasing geometric process,and the repair after system failures is not as good as new,we consider replacement policies based on the failure number of the system.By using the monot one geometric process,the explicitex pression of the long-run expected profit per unit time is derived.Finally,we analyze the result through numerical example too.