Imperfect Inspection of a System With Unrevealed Failure and an Unrevealed Defective State

Cavalcante, Cristiano Alexandre Virgínio; Scarf, Philip; Berrade, María Dolores

doi:10.1109/tr.2019.2897048

Cited by 37 publications

(18 citation statements)

References 39 publications

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“…Such quality reduction may be the result of cost-cutting or supplier-switching or simply neglect of older, legacy systems. Impediments are an example of imperfect inspection, although this is different to the type of imperfection studied in Berrade et al (2012Berrade et al ( , 2013 and Cavalcante et al (2019), for example, wherein inspections are subject to false positives and false negatives.…”

Section: Introductionmentioning

confidence: 93%

Delay-time modelling of a critical system subject to random inspections

Scarf

Cavalcante

Lopes

2019

European Journal of Operational Research

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We model the inspection-maintenance of a critical system in which the execution of inspections is random. The models we develop are interesting because they mimic realities in which production is prioritised over maintenance, so that inspections might be impeded or they might be opportunistic. Random maintenance has been modelled by others but there is little in the literature that relates to inspection of a critical system. We suppose that the critical system can be good, defective or failed, and that failure impacts on production, so that a failure is immediately revealed, but a defect does not. A defect, if revealed at inspection, is a trigger for replacement. We compare the cost and reliability of random inspections with scheduled periodic inspections and discuss the implications for practice. Our results indicate that inspections that are performed opportunistically rather than scheduled periodically may offer an economic advantage provided opportunities are sufficiently frequent and convenient. A hybrid inspection and replacement policy, with inspections subject to impediments, is robust to departure from its inspection schedule.

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Section: Introductionmentioning

confidence: 93%

Delay-time modelling of a critical system subject to random inspections

Scarf

Cavalcante

Lopes

2019

European Journal of Operational Research

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“…The accuracy of an inspection may be influenced by, among others, kind of a measured signal, measurement errors, measurer experience, limited knowledge about the relations between technical parameters measured in a failure process, and the reliability or functional state of an inspected system [19]. The accuracy is quantified by the probability of false positive or false negative inspection error [21,[26][27][28][29]. Most literature models deal with the impact of false negative and false positive mistakes on the maintenance process results by the optimization of various process parameters: time between inspections [15,[30][31][32][33], time to the first inspection [15], the number of inspections in various phases of a system operation [34], the number of inspections before a planned replacement [16,24,28], or the length of replacement delay after defect recognition [32].…”

Section: Literature Reviewmentioning

confidence: 99%

Decision Problem on Imperfect Inspections Combined under Two-Stage Inspection Policy

Jodejko-Pietruczuk

2021

Applied Sciences

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Although one can presently observe great development in the methods for diagnosing conditions of technical systems, inspections which are not 100% accurate are still common in industry. If there are multiple available inspection methods which differ in accuracy of diagnosis, cost, or testing time, the answer for the question: which inspection method should be chosen is not a simple task. This paper addresses the problem and proposes a two-stage inspection policy model whose aim is to combine inspection methods that differ in their accuracy and cost features. The two-stage policy models that have been used so far in the literature assume that the second stage of an inspection is perfect, which is not always possible or profitable. For this reason, the mathematical model of the two-stage inspection policy with not-necessarily-perfect second stage is developed here, and its results are presented for the case study of diagnosing sealing in a hydraulic cylinder. The example proved that the application of mixed imperfect inspections could decrease maintenance cost, compared to the one-stage perfect inspection policy, by up to 35%. The paper also formulates a set of rules that support decision making while searching for cost-effective parameters of the two-stage policy. Their application is confirmed by a numerical example, which shows their potential in suboptimization of the proposed policy.

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“…Driessen et al [7] studied a mono-unit system that is characterized by three distinct deterioration states, and PM is triggered by a given number of inspection which is periodical imperfect. Cavalcante et al [4] built a model of inspection of a protection system, in which the inspection outcome provides imperfect information of the state of the system, and the preventive replacement is conducted based on the inspection result. Zhang et al [36] investigated a PM policy for a three-state system considering both imperfect inspections and imperfect repairs, in which cost rate and reliability of the system are derived by a recursive method.…”

Section: Introductionmentioning

confidence: 99%

“…These results display that improving the PM effect is undoubtedly beneficial for users. Tab 4. Optimisation results with different aj.…”

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confidence: 99%

Quasi-periodic Inspection and Preventive Maintenance Policy Optimisation for a system with Wiener Process degradation

Gao¹,

Wang²,

Zhang³

et al. 2023

Eksploatacja i Niezawodność – Maintenance and Reliability

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Periodic inspection policy is performed for some degradation systems to check their degradation states, whereas it is usually difficult to implement on time due to impact of some random factors. Inspections and some maintenance actions are implemented in an inspection window with random, and thus how to optimize the inspection windows and the degradation threshold of the system to perform preventive maintenance (PM) are beneficial in practice. To this end, an optimisation of quasiperiodic inspection and PM policy with inspection window is proposed for a degradation system whose degradation followed Wiener process with a linear drift. Assume that PM can change the degradation rate and inspections are randomly performed in each inspection window. After optimisation, the optimal interval of the inspection window, the degradation threshold of PM and PM policy are determined by minimising the long-term running cost rate of the system. Finally, modeling and optimisation are illustrated using the degradation process of an axial piston pump, and the sensitivity analysis of some key parameters is conducted.

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Imperfect Inspection of a System With Unrevealed Failure and an Unrevealed Defective State

Cited by 37 publications

References 39 publications

Delay-time modelling of a critical system subject to random inspections

Delay-time modelling of a critical system subject to random inspections

Decision Problem on Imperfect Inspections Combined under Two-Stage Inspection Policy

Quasi-periodic Inspection and Preventive Maintenance Policy Optimisation for a system with Wiener Process degradation

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