基于冲击模型劣化系统的不完全维修决策  

Imperfect maintenance decision for a deteriorating system based on shock model

作　　者：王小林[1] 程志君[1] 郭波[1] 郭驰名[1] 

机构地区：[1]国防科技大学信息系统与管理学院,长沙410073

出　　处：《系统工程理论与实践》2011年第12期2380-2386,共7页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(60904002)

摘　　要：以针对冲击失效劣化系统,提出一种新的δ一冲击失效模型,并基于该模型研究了N型更换策略下的不完全维修决策方法.首先通过扩充失效状态,在δ-冲击模型的基础上建立新的δ-冲击失效模型;其次以最小平均费用率为目标、可用度为约束,建立了N型更换策略下系统的不完全维修决策模型;最后用一个算例验证了该方法的合理性,并分析了参数对策略N的灵敏度.With respect to the deteriorating system whose failure was induced by external shock, this paper proposed a new δ-shock failure model and studied an imperfect maintenance method based on this shock model with the replacement policy N. Firstly, it presented a new δ-shock failure model on tile basis of δ-shock model by extending failure states, and then established an imperfect maintenance decision model for this system, which achieved the minimum the long-run average cost per unit time conditional on the constraint of availability; finally, it provides a numerical example to demonstrate the usefulness of the proposed method, and also studies the sensitivities for the policy N with respect to parameters.

关 键 词：Δ-冲击模型 几何过程 不完全维修 N型更换策略 

分 类 号：O228[理学—运筹学与控制论]