On the use of on-line detection for maintenance of gradually deteriorating systems

Fouladirad, Mitra; Grall, Antoine; Dieulle, Laurence

doi:10.1016/j.ress.2008.03.020

Cited by 39 publications

(35 citation statements)

References 23 publications

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“…According to the characteristic that degradation rate is diverse in different degradation stage for two-stage degradation system, Saas-sciENcE aNd tEchNology souh et al [5,7,19] put forward adaptive maintenance policy. And this maintenance policy has been proved to be useful.…”

Section: Adaptive Maintenance Policymentioning

confidence: 99%

“…It is considered that Y f =200 in this study. Meanwhile, in order to ensure the optimal result of mean cost rate E(C) for maintenance policy is creditable, the unit costs are evaluated as other literatures [5,7,17,19], so C I =5, C P =50, C C =100.…”

Section: Choice Of Parameters Valuesmentioning

confidence: 99%

“…However, the degradation process of some systems present two-stage feature due to the influences of internal mechanism and external environment etc [7], where the degradation rate is suddenly increased. For example, the vibration-based degradation signals of bearings [8] and vibration signals special frequency band energy of gearboxes [14] exhibit two-stage characteristic in degradation test.…”

Section: Introductionmentioning

confidence: 99%

“…For example, the vibration-based degradation signals of bearings [8] and vibration signals special frequency band energy of gearboxes [14] exhibit two-stage characteristic in degradation test. There are two typical models with independent random increment, continuous time model [7] and cumulative damage model [21], that can be used to present system degradation process. Some researchers have studied on the degradation process modeling for two-stage degradation system.…”

Section: Introductionmentioning

confidence: 99%

“…On the basis that change-point of degradation rate can be monitored perfected, Saassouh [19] put forward an activation zone to plan the maintenance action for a two-stage system. Fouladirad [5,7] proposed an adaptive maintenance policy based on online change detection procedures, where alarm thresholds were diverse in different degradation stage as the degradation rate change. Ponchet [17] assumed that change-point of degradation rate cannot be monitored, and he developed two condition-based maintenance optimization models with and without considering the change-point in system degradation process, respectively, the numerical results showed that it can bring considerable benefits if degradation rate changing was considered in maintenance policy.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Nonlinear degradation modeling and maintenance policy for a two-stage degradation system based on cumulative damage model

Ni¹,

Zhao²,

Song³

et al. 2016

EiN

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show abstract

Section: Adaptive Maintenance Policymentioning

confidence: 99%

Section: Choice Of Parameters Valuesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Nonlinear degradation modeling and maintenance policy for a two-stage degradation system based on cumulative damage model

Ni¹,

Zhao²,

Song³

et al. 2016

EiN

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A Multi‐objective Joint Burn‐in and Imperfect Condition‐based Maintenance Model for Degradation‐based Heterogeneous Populations

Xiang

Coit

Zhu

2016

Quality & Reliability Eng

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For some engineering design and manufacturing applications, particularly for evolving and new technologies, there can exist substantial heterogeneity in populations of manufactured components. The co-existence of n subpopulations and unit-tounit heterogeneity can be common in devices when the manufacturing process is still maturing or highly variable. In this research, we not only model the heterogeneity at the subpopulation-level but also at the unit-level. A mixture degradation framework is developed to model this multi-level heterogeneity. Based on the proposed mixture degradation model, we develop a multi-objective optimization model to jointly determine burn-in and condition-based maintenance policies for populations composed of distinct subpopulations with random effects. We allow the condition-based maintenance to be imperfect, which is more realistic. Our joint models are entirely appropriate for companies that are the providers of both products and services, and can also produce optimal collective results and decisions that can quantify potential savings or benefits through cooperative efforts between producer and user. Numerical examples are provided to illustrate the proposed procedure.Given the post-burn-in deterioration level, the derivation of the uptime and downtime is similar to that in the work of Xiang et al. 34 The probability of PM performed perfectly at the λ th inspection can now be derived, and we denote this probability by p λ (λ = 1, 2, 3, …). When λ = 1, if the cumulative deterioration level before the first inspection is greater than the maintenance

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Guaranteed Conditional Performance of Control Charts via Bootstrap Methods

Gandy

Kvaløy

2013

Scandinavian J Statistics

127

151

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To use control charts in practice, the in‐control state usually has to be estimated. This estimation has a detrimental effect on the performance of control charts, which is often measured by the false alarm probability or the average run length. We suggest an adjustment of the monitoring schemes to overcome these problems. It guarantees, with a certain probability, a conditional performance given the estimated in‐control state. The suggested method is based on bootstrapping the data used to estimate the in‐control state. The method applies to different types of control charts, and also works with charts based on regression models. If a non‐parametric bootstrap is used, the method is robust to model errors. We show large sample properties of the adjustment. The usefulness of our approach is demonstrated through simulation studies.

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On the use of on-line detection for maintenance of gradually deteriorating systems

Cited by 39 publications

References 23 publications

Nonlinear degradation modeling and maintenance policy for a two-stage degradation system based on cumulative damage model

Nonlinear degradation modeling and maintenance policy for a two-stage degradation system based on cumulative damage model

A Multi‐objective Joint Burn‐in and Imperfect Condition‐based Maintenance Model for Degradation‐based Heterogeneous Populations

Guaranteed Conditional Performance of Control Charts via Bootstrap Methods

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