2003
DOI: 10.1016/s0377-2217(02)00593-3
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Sequential condition-based maintenance scheduling for a deteriorating system

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Cited by 215 publications
(105 citation statements)
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“…, t n , respectively. While the structural deterioration process is indeed a complex non-stationary stochastic process (Dieulle et al, 2003;Saassouh et al, 2007;Wang et al, 2015), neither fully-correlated nor statistically independent by nature, revealed that the assumption of fully-correlated deterioration is reasonable for reliability analysis producing acceptable error. As a result, in this study, the resistance deterioration process is assumed to be a fully-correlated one, which means that the overall trajectory of deterioration will be determined as soon as the deterioration type and the deterioration value at any time are given.…”
Section: Structural Reliability Analysismentioning
confidence: 99%
See 1 more Smart Citation
“…, t n , respectively. While the structural deterioration process is indeed a complex non-stationary stochastic process (Dieulle et al, 2003;Saassouh et al, 2007;Wang et al, 2015), neither fully-correlated nor statistically independent by nature, revealed that the assumption of fully-correlated deterioration is reasonable for reliability analysis producing acceptable error. As a result, in this study, the resistance deterioration process is assumed to be a fully-correlated one, which means that the overall trajectory of deterioration will be determined as soon as the deterioration type and the deterioration value at any time are given.…”
Section: Structural Reliability Analysismentioning
confidence: 99%
“…(4)); in such a case, G(T ) follows an inverse-lognormal distribution. (4) Some studies have also used the Gamma process to model the resistance deterioration (Dieulle et al, 2003;Wang et al, 2015), with which G(T ) follows Gamma distribution. Now, taking into account the uncertainty associated with G(T ), supposing that the PDF of G(T ) is f G (g), Eq.…”
Section: Probabilistic Model Of Resistance Deteriorationmentioning
confidence: 99%
“…However, the calibration of the parameters using observed data is quite challenging due to the non-explicit form of the model. To give a realistic and simple description for resistance deterioration, the Gamma process has been considered by previous studies (Dieulle et al, 2003;Saassouh et al, 2007;van Noortwijk et al, 2007;Li et al, 2015), because such a process describes a continuous stochastic process with non-decreasing trajectories. However, these researches mainly focus on the parametric studies for the deterioration process; no effort has been made on the calibration of the deterioration model parameters using obtained data.…”
Section: A Reviewmentioning
confidence: 99%
“…There are also multiple models where a Gamma process is used for the degradation process. Dieulle et al [7] and Park [22,23] developed such models with a single-level control limit and Grall et al [11] developed such a model with a multi-level control limit. Here, we distinguish scenarios with periodic inspection ( [22]), aperiodic inspection ( [7,11]) and continuous monitoring ( [17,23]).…”
Section: Introductionmentioning
confidence: 99%