基于延迟时间理论的备件维修多目标优化模型

Multi-objective optimization model for spare parts maintenance based on delay-time theory

在系统的健康管理中可靠度、可用度或维修费用的极值通常被用作确定维修周期的准则,但随着装备系统的复杂化和决策者需求的多样化,单目标决策问题已不能满足现状,由此,针对定期检测策略,建立了基于延迟时间理论且考虑不完美维修的多目标决策模型,并运用多属性效用理论对模型求解。首先建立该策略下的可靠度、可用度和维修费用模型;然后将三者视为属性,构造每个属性的效用函数;之后采用基于逼近理想解排序法思想的赋权法对属性权重赋值,通过加权获得不同维修周期的综合效用值,根据效用值确定维修周期;最后引入算例,验证模型的有效性和可行性。

In system health management,the extreme value of reliability,availability or maintenance cost is usually used as a criterion for determining maintenance intervals.However,with the complexity of the equipment system and the diversification of decision-makers’needs,the single objective maintenance decision-making problem can no longer satisfy the current situation.Therefore,a multi-objective maintenance decision model based on the delay-time theory and considering imperfect maintenance is established for the periodic detection strategy,and the multi-attribute utility theory is used to solve the model.Firstly,the reliability,availability and maintenance cost models are established then the utility functions of each attribute are constructed.Then the weighting method based on technique for order preference by similarity to ideal solution thought is used to assign the weight of the attribute,and the comprehensive utility value of different maintenance period is obtained by weighting,and the maintenance interval is determined according to the utility value.Finally,the validity and feasibility of the proposed method are verified by an example analysis.