基于两种相关故障类型的预防性维修模型

A preventive maintenance model based on two types of correlated failure

研究了基于2种故障类型的单部件系统:一种故障模式为基于延迟时间理论的两阶段故障;另外一种为传统的0-1故障模式。该研究假设2种故障模式是存在相关性的,并用Copula函数来表示联合分布函数。为了检测2阶段故障模式下的缺陷状态,采用定期诊断策略;为了避免0-1故障模式下的故障发生,同时考虑预防性更换策略。分析了系统的更新过程,计算了期望长期单位时间成本(ELRCUT)。通过最优化成本函数,最终得到了最优的诊断周期和预防性更换间隔。最后给出了案例分析,证明了模型的有效性。

This paper studies a single-unit system based on two types of failure:a two-stage delay-time failure and a traditional 0-1 logic failure.The two failure modes are assumed to be correlated,and a copula function is utilized to describe the joint distribution.Periodic inspections are used to detect the defective stage of the two-stage failure mode,while preventive replacement is used to avoid possible failure in the 0-1 logic mode.The renewal process of this system is analyzed and the expected long-run cost per unit time(ELRCUT)is derived.The optimal inspection period and preventive replacement interval that minimize ELRCUT are studied.Numerical examples are presented to illustrate the proposed model.