Generalized geometric process and its application in maintenance problems
Guan Jun Wang,Richard C.M. Yam +1 more
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TLDR
This study proposes a generalized geometric process (GGP) to model the deteriorating process of repairable systems, and proposes two repair-replacement models, an age-dependent PM model and a sequential PM policy.About:
This article is published in Applied Mathematical Modelling.The article was published on 2017-09-01 and is currently open access. It has received 24 citations till now. The article focuses on the topics: Corrective maintenance & Preventive maintenance.read more
Citations
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Imperfect Preventive Maintenance Policies With Unpunctual Execution
TL;DR: The modeling and optimization of the two imperfect PM policies with unpunctual executions for infinite and finite planning horizons are discussed and the impact of unpunctUAL executions on the optimal PM decisions and corresponding maintenance expenses are explored in an analytical or numerical way.
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Optimal Condition-Based Mission Abort Decisions
TL;DR: In this article , the authors investigate mission abort policies under a completely observed two-stage degradation process that progresses stochastically from "normal" to "defective" to ''failure''.
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Preventive Maintenance Models Based on the Generalized Geometric Process
TL;DR: Two imperfect preventive maintenance models are studied and the optimal replacement policy is obtained explicitly by assuming that the lifetime of the system is Weibull distributed.
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Optimal periodic preventive maintenance policies for systems subject to shocks
Peng Liu,Guanjun Wang +1 more
TL;DR: In this paper, the optimal periodic preventive maintenance (PM) policy for the system is investigated, assuming that each shock may cause a random increment of the system failure rate, and the expression of the average cost rate is derived explicitly.
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Evaluation of the warranty cost of a product with type III stochastic dependence between components
TL;DR: It is proved that, independent of the type of the warranty policy, the failure interaction between components impacts the manufacturer profits and the consumer costs.
References
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Journal ArticleDOI
A survey of maintenance policies of deteriorating systems
TL;DR: This survey summarizes, classifies, and compares various existing maintenance policies for both single-unit and multi-unit systems, with emphasis on single- unit systems.
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Optimum Preventive Maintenance Policies
TL;DR: In this paper, two types of preventive maintenance policies are considered, and the optimum policies are determined, in each case, as unique solutions of certain integral equations depending on the failure distribution.
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Sequential imperfect preventive maintenance policies
TL;DR: Improvement factors in hazard rate and age for a sequential preventative maintenance (PM) policy are introduced and the optimal policies to minimize the mean cost rates are discussed.
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Geometric processes and replacement problem
TL;DR: In this paper, the authors introduced the geometric process which is a sequence of independent nonnegative random variables, such that the distribution function of a random variable X n is F (a n−1 −1 normalized x), wherea is a positive constant, and the explicit expressions of the long-run average costs per unit time under each replacement policy are calculated, and therefore the corresponding optimal replacement policies can be found analytically or numerically.
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Periodic and sequential preventive maintenance policies
TL;DR: The optimal x and N of periodic PM and { x k } of sequential PM are easily computed in a Weibull distribution case.