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作 者:苏保河[1]
出 处:《工程数学学报》2008年第6期989-997,共9页Chinese Journal of Engineering Mathematics
基 金:广东省自然科学基金(031924);暨南大学引进人才基金(04JZKY001)
摘 要:本文研究带有多维诊断参数的两部件系统,其中一个部件具有正常和故障两种状态,另一个部件具有正常、异常和故障三种状态。当系统工作时,为了判断后一个部件是正常还是异常,每隔一段随机时间对系统检测一次,直到系统故障或检测结果为该部件异常为止。利用概率分析、补充变量、Laplace变换和最优化方法,我们得到了系统的可靠性指标,并以此为基础导出了诊断参数的最优临界值和最优检测周期。This paper deals with a 2-unit system with multi-dimensional diagnostic parameters. One of the units has two modes called normal and failure, and the other has three modes called normal, abnormal and failure, respectively. When the system is working, it is inspected once every random time period to make sure whether the 3-mode unit is normal or abnormal until the system falls, or until the result of the inspection shows that the 3-mode unit is in abnormal. By using probability analysis, the supplementary variable technique, Laplace transform and the optimization method, we obtain the optimal critical values of parameters and the optimal inspection cycle of the system based on some reliability indices.
分 类 号:O213.2[理学—概率论与数理统计] TP206.3[理学—数学]
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