NDLI: Optimal two-threshold replacement policy in a cumulative damage model

Content Provider	Springer Nature Link
Author	Sheu, Shey Huei Liu, Tzu Hsin Zhang, Zhe George Tsai, Hsin Nan Chen, Jung Chih
Copyright Year	2016
Abstract	In this paper, a two-unit system with failure interactions is studied. The system is subject to two types of shocks (I and II) and the probabilities of these two shock types are age-dependent. A type I shock, rectified by a minimal repair, causes a minor failure of unit A and type II shock causes a complete system failure that calls for a replacement. Each unit A minor failure also results in an amount of damage to unit B. The damages to unit B caused by type I shocks can be accumulated to trigger a preventive replacement or a corrective replacement action. Besides, unit B with cumulative damage of level z may become minor failed with probability $$\pi (z)$$ at each unit A minor failure and rectified by a minimal repair. We consider a more general replacement policy. Under this policy, the system is preventively replaced at the Nth type I shock, or at the time when the total damage to unit B exceeds a pre-specified level Z (but less than a failure level K where $$K>Z$$ ) or is replaced correctively at first type II shock or when the total damage to unit B exceeding a failure level K, whichever occurs first. To minimize the expected cost per unit time, the optimal replacement policy $$(N^{}$$ , $$Z^{})$$ is derived analytically and determined numerically. We also show that several previous maintenance models in the literature are special cases of our model.
Starting Page	23
Ending Page	47
Page Count	25
File Format	PDF
ISSN	02545330
Journal	Annals of Operations Research
Volume Number	244
Issue Number	1
e-ISSN	15729338
Language	English
Publisher	Springer US
Publisher Date	2016-02-23
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Cumulative damage model Optimization Shock model Replacement policy Operation Research/Decision Theory Combinatorics Theory of Computation
Content Type	Text
Resource Type	Article
Subject	Management Science and Operations Research

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