2022
DOI: 10.1177/1748006x221136317
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Probabilistic indicators of imperfect inspections used in modeling condition-based and predictive maintenance

Abstract: This study proposes mathematical models for assessing the probabilistic indicators of imperfect inspections conducted when performing condition-based and predictive maintenance. The inspections used in mentioned types of maintenance differ in decision rules regarding system operability at the time of checkup. Contrary to the previous studies, we present the decision rule for each type of inspection on the time axis, which allows the formulation of the set of mutually exclusive events at discrete times. The cor… Show more

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Cited by 3 publications
(2 citation statements)
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“…The maintenance effectiveness indicator was the expected cost per regeneration cycle. Studies [53,54] have shown that the probabilities of imperfect inspections at condition-based and predictive maintenance are functions of the degradation model parameters and strongly depend on time. In the study [55], the case of imperfect testing of the crack depth in a fighter wing was considered.…”
Section: Literature Reviewmentioning
confidence: 99%
“…The maintenance effectiveness indicator was the expected cost per regeneration cycle. Studies [53,54] have shown that the probabilities of imperfect inspections at condition-based and predictive maintenance are functions of the degradation model parameters and strongly depend on time. In the study [55], the case of imperfect testing of the crack depth in a fighter wing was considered.…”
Section: Literature Reviewmentioning
confidence: 99%
“…The expected losses are determined using the mathematical expectation formula for a continuous variable, which is the failure time. Ulansky and Raza (2023) have developed formulas to calculate unconditional and conditional probabilities of correct and incorrect decisions during a single inspection. The numerical example highlights that these probabilities are significantly influenced by the timing of inspections and the moment of failure.…”
mentioning
confidence: 99%