A bivariate process model for maintenance and inspection planning

Newby, MJ Martin; Barker, CT

doi:10.1016/j.ijpvp.2006.02.009

Cited by 23 publications

(20 citation statements)

References 16 publications

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“…Hereafter the reinforced concrete beam is referred to as the system. The probabilistic evolution of the process, in general, can be described by the transition probabilities [1].…”

Section: Markov Chain Modeling Of Evolution Of Strainmentioning

confidence: 99%

“…A number of studies have been reported in literature on the application of stochastic models for planning of inspection and maintenance activities. For instance, Newby and Barker (1) proposed a bivariate process model for making decision about monitoring and maintenance of systems described by a general stochastic process, wherein the system is monitored and maintenance actions are carried out with respect to the system state observed. Recently, a survey of the application of gamma process in modeling deterioration of systems for making optimal inspection and maintenance decisions is given by Noortwijk (2).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Markov chain modeling of evolution of strains in reinforced concrete flexural beams

Anoop¹,

Rao²,

Lakshmanan³

et al. 2012

Mater. construcc.

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RESUMENA través del análisis de la evolución de la deformación superficial observada experimentalmente en vigas de hormigón armado al entrar en carga, se constata que dicho proceso debe considerarse estocástico. En este trabajo se estudia la utilización de cadenas de Markov para modelizar la evolución estocástica de la deformación de vigas flexotraccionadas. Se propone, para establecer el estado de deformación de estas, un modelo con distribución gaussiana tipo cadena de Markov homogénea de dos niveles (BLHGMC por sus siglas en inglés), cuyo empleo resulta sencillo y práctico. Se comprueba la utilidad del modelo BLHGMC para prever el comportamiento de estos elementos, lo que determina a su vez una mayor racionalidad a la hora de su cálculo y diseño.Palabras clave: cadena de Markov; hormigón reforzado; modelado estocástico; tensión. SUMMARYFrom the analysis of experimentally observed variations in surface strains with loading in reinforced concrete beams, it is noted that there is a need to consider the evolution of strains (with loading) as a stochastic process. Use of Markov Chains for modeling stochastic evolution of strains with loading in reinforced concrete flexural beams is studied in this paper. A simple, yet practically useful, bi-level homogeneous Gaussian Markov Chain (BLHGMC) model is proposed for determining the state of strain in reinforced concrete beams. The BLHGMC model will be useful for predicting behavior/response of reinforced concrete beams leading to more rational design.

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“…Hereafter the reinforced concrete beam is referred to as the system. The probabilistic evolution of the process, in general, can be described by the transition probabilities [1].…”

Section: Markov Chain Modeling Of Evolution Of Strainmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Markov chain modeling of evolution of strains in reinforced concrete flexural beams

Anoop¹,

Rao²,

Lakshmanan³

et al. 2012

Mater. construcc.

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“…Decisions are based on a summary measure of performance which corresponds to a functional on the underlying process A(W t ), as in Newby and Barker (2006). In this study the functional used to describe the system's performance measure is the Euclidean norm R t ,…”

Section: The Considered Processesmentioning

confidence: 99%

Nonperiodic Inspections to Guarantee a Prescribed Level of Reliability

Newby

Barker²

2008

Statistical Models and Methods for Biomedical and Technical Systems

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“…In [Castanier et al, 2003] and [Dieulle et al, 2006], the authors approximated the gamma process by a discrete time stochastic process with independent and exponentially distributed increments. More recently, [Newby et al, 2006] and [Barker et al, 2009] used a Brownian motion to model a non-monotone deterioration (see also [Zhao et al, 2010]). In our case, deteriorations can not be easily measured and the state of the system is only known when inspecting.…”

Section: Introductionmentioning

confidence: 99%

Méthode asymptotique pour l’estimation des paramètres d’un système multi-états soumis à une maintenance conditionnelle

Labart¹,

Briand²,

Idee³

et al. 2015

Congrès Lambda Mu 19 De Maîtrise Des Risques Et Sûreté De Fonctionnement

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An asymptotical method to estimate the parameters of a deteriorating system under conditionbased maintenance Méthode asymptotique pour l'estimation des paramètres d'un système multi-états soumis à une maintenance conditionnelle AbstractWe develop statistical estimators for the parameters of a multi-state deteriorating system under perfect condition-based maintenance by observing only the number of inspections, repairs and failures up to some time t. This method is based on the asymptotical behavior of the system, which is studied by using the renewal process theory. We obtain a Central Limit Theorem (CLT) for the estimators. It enables to derive confidence intervals for our estimators, which only depends on the observed data. We compare the accuracy and the speed of the method with the maximum likelihood approach (MLE) on simulated data and on real data provided by EDF.

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A bivariate process model for maintenance and inspection planning

Cited by 23 publications

References 16 publications

Markov chain modeling of evolution of strains in reinforced concrete flexural beams

Markov chain modeling of evolution of strains in reinforced concrete flexural beams

Nonperiodic Inspections to Guarantee a Prescribed Level of Reliability

Méthode asymptotique pour l’estimation des paramètres d’un système multi-états soumis à une maintenance conditionnelle

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