Stochastic comparisons of imperfect maintenance models for a gamma deteriorating system

Mercier, Sophie; Castro, Inma T.

doi:10.1016/j.ejor.2018.06.020

Cited by 57 publications

(46 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In order to lower the deterioration level, instantaneous and periodic imperfect repairs are carried out on the system every T units of time (T > 0). Following [6,25], an Arithmetic Reduction Degradation model of order 1 (ARD 1 ) is considered, where a maintenance action removes a proportion ρ ∈ [0, 1) of the deterioration accumulated since the last maintenance action (or from time t = 0). The model used in the present paper is just the same as that used in [25], which we now recall, for sake of completeness.…”

Section: The Imperfect Repair Modelmentioning

confidence: 99%

“…This paper focuses on a specific imperfect repair model, where each maintenance action reduces the deterioration level of the system. The model was first introduced in [6] and further studied in [25], where it was called Arithmetic Reduction of Degradation model of order 1 (ARD 1 ). Mimicking Arithmetic Reduction of Age (ARA 1 ) and Arithmetic Reduction of Intensity (ARI 1 ) models of order 1 developed by [10] in the context of recurrent events, the idea of an ARD 1 model is that a maintenance action removes a proportion ρ of the degradation accumulated by the system from the last maintenance action (where ρ ∈ [0, 1)).…”

Section: Introductionmentioning

confidence: 99%

“…The parameter ρ appears as a measure of the maintenance efficiency, which lies between As-Good-As-New when ρ → 1 − and As-Bad-As-Old when ρ = 0. Along the same lines as [6,10,25], the maintenance actions efficiency is here assumed to be fixed and independent of the intrinsic degradation.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Semiparametric estimate of the efficiency of imperfect maintenance actions for a gamma deteriorating system

Salles

Mercier

Bordes

2020

Journal of Statistical Planning and Inference

Self Cite

View full text Add to dashboard Cite

A system is considered, which is deteriorating over time according to a non homogeneous gamma process with unknown parameters. The system is subject to periodic and instantaneous imperfect maintenance actions (repairs). Each imperfect repair removes a proportion ρ of the accumulated degradation since the previous repair. The parameter ρ hence appears as a measure for the maintenance efficiency. This model is called arithmetic reduction of degradation of order 1. The system is inspected right before each maintenance action, thus providing some multivariate measurement of the successively observed deterioration levels. Based on these data, a semiparametric estimator of ρ is proposed, considering the parameters of the underlying gamma process as nuisance parameters. This estimator is mainly based on the range of admissible ρ's, which depends on the data. Under technical assumptions, consistency results are obtained, with surprisingly high convergence rates (up to exponential). The case where several i.i.d. systems are observed is next envisioned. Consistency results are obtained for the efficiency estimator, as the number of systems tends to infinity, with a convergence rate that can be higher or lower than the classical square root rate. Finally, the performances of the estimators are illustrated on a few numerical examples.

show abstract

Section: The Imperfect Repair Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Semiparametric estimate of the efficiency of imperfect maintenance actions for a gamma deteriorating system

Salles

Mercier

Bordes

2020

Journal of Statistical Planning and Inference

Self Cite

View full text Add to dashboard Cite

show abstract

“…La première famille concerne l'optimisation de familles spécifiques de politiques paramétriques. Par exemple, on peut vouloir optimiser une durée fixe entre les inspections, voir [ZFA17] ou un seuil pour le dommage accumulé avant de déclencher une intervention, voir [MC19].…”

Section: Introductionunclassified

Optimal Predictive Maintenance Policy for Multi-Component Systems

Cherchi¹,

Baysse

Saporta³

et al. 2019

Proceedings of the 29th European Safety and Reliability Conference (ESREL)

View full text Add to dashboard Cite

Nous présentons un problème d'optimisation pour la maintenance d'un système multi-composants sujet à des détériorations ou défaillances aléatoires de ses composants, entraînant l'évolution de l'état général du système. Le système peut être requis pour effectuer des missions de fréquences et durées déterministes. Notre objectif à long terme est de mettre en place une politique de maintenance optimisée afin de garantir le bon déroulement des missions tout en minimisant les coûts de maintenance. L'idée principale de ce travail est de proposer un modèle mathématique pour l'évolution du système en utilisant le formalisme d'un Processus Markovien Décisionnel (MDP). Par simulations de Monte Carlo, nous comparons les performances de plusieurs politiques de référence. Mots-clés. Optimisation de maintenance, système multi-composants, Processus Markovien décisionnel, Simulations de Monte Carlo, Politique de maintenance. . .

show abstract

“…In Mercier's paper, two imperfect preventive maintenance models for a degrading system are explored and compared. The deterioration level is expressed by a non-homogeneous gamma process [10].…”

Section: Introductionmentioning

confidence: 99%

Multi-Criteria Decision Model for Imperfect Maintenance using Multi-Attribute Utility Theory

Zhao¹

2018

IJPE

View full text Add to dashboard Cite

Many research works have been conducted in the preventive maintenance area since maintenance strategies have become more and more significant in industry and supply chain services. However, previous studies are mainly based on age maintenance policies and other multi-criteria approaches instead of Multi-Attribute Utility Theory (MAUT). There are some studies proposed by using MAUT, but they assume that the maintenances are perfect. This paper presents an imperfect maintenance model of a one-unit system to obtain an optimal inspection interval based on MAUT. The proposed model is designed to identify the systems' status by making a trade-off between cost attribute and reliability attribute. By taking decision makers' preferences into account, with the assumption of imperfect maintenance, the model receives a result of an optimal inspection interval. This model is applicable for equipment or systems that suffer graded failures and can be repaired at any time during the operation. A numerical application is given to illustrate that with consideration of decision-makers' priorities, the model can provide new solutions for imperfect maintenance interval optimization, which is a suggestion for future research.

show abstract

Stochastic comparisons of imperfect maintenance models for a gamma deteriorating system

Cited by 57 publications

References 31 publications

Semiparametric estimate of the efficiency of imperfect maintenance actions for a gamma deteriorating system

Semiparametric estimate of the efficiency of imperfect maintenance actions for a gamma deteriorating system

Optimal Predictive Maintenance Policy for Multi-Component Systems

Multi-Criteria Decision Model for Imperfect Maintenance using Multi-Attribute Utility Theory

Contact Info

Product

Resources

About