Modelling imperfect inspection over a finite horizon

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

doi:10.1016/j.ress.2012.10.003

Cited by 27 publications

(27 citation statements)

References 14 publications

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“…Nakagawa and Mituzani [24] discuss the importance of considering maintenance policies with finite planning horizons for systems such as power plants and civil infrastructures. Berrade et al [8] model imperfect inspection policies for a system with a finite operational time requirement. These models allow one to explore maintenance planning options for systems that are close to retirement.…”

Section: Finite Horizon Modelmentioning

confidence: 99%

“…Let c r be the corresponding penalty cost rate. Following Berrade et al ( [8]) the objective function is given as follows:…”

Section: Finite Horizon Modelmentioning

confidence: 99%

“…In our paper, we relax this restrictive assumption. Further, we allow the possibility that inspections may be imperfect, so that false negatives (whereby inspection indicates that the system is no-defective when it is in fact defective) and false positives are possible (as in Berrade et al [6], [7], [8]). The consequences of imperfect maintenance interventions mentioned in points 4 and 5 whereby strong components may be replaced with weak components have been analyzed in Scarf and Cavalcante [30] and [31].…”

Section: Introductionmentioning

confidence: 99%

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A study of postponed replacement in a delay time model

Berrade

Scarf

Cavalcante

2017

Reliability Engineering & System Safety

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We develop a delay time model for a one component system with postponed replacement to analyze situations in which maintenance might not be executed immediately upon discovery of a defect in the system. Reasons for postponement are numerous: to avoid production disruption or unnecessary or ineffective replacement; to prepare for replacement; to extend component life; to wait for an opportunity. This paper explores conditions that make postponement cost-effective. We are interested in modelling the reality in which a maintainer either prioritizes functional continuity or is not confident of the inspection test indicating a defective state. In some cases more frequent inspection and a longer time limit for postponement are recommended to take advantage of maintenance opportunities, characterized by their low cost, arising after a positive inspection. However, when the cost of failure increases, a significant reduction in the time limit of postponement interval is observed. The examples reveal that both the time to defect arrival and delay time have a significant effect upon the cost-effectiveness of maintenance at the limit of postponement. Also, more simply, we find that opportunities must occur frequently enough and inspection should be a high quality procedure to risk postponement.

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Section: Finite Horizon Modelmentioning

confidence: 99%

“…Let c r be the corresponding penalty cost rate. Following Berrade et al ( [8]) the objective function is given as follows:…”

Section: Finite Horizon Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A study of postponed replacement in a delay time model

Berrade

Scarf

Cavalcante

2017

Reliability Engineering & System Safety

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“…While they are lies within range [0‐1], 1 refers to the highest accuracy (perfect inspection) and the 0 indicates the worst precision or the lowest probability of state detection (imperfect inspection). Noteworthy is that the inspection error probability involved via P O in the model usually acquires 0.7 to 1 …”

Section: Aging Failure Model Descriptionmentioning

confidence: 99%

Aging failure model of circuit breakers equipped with condition monitoring systems

Razi-Kazemi

Lehtonen

2017

Int Trans Electr Energ Syst

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Summary Lifetime management of circuit breakers (CBs) compared with the other components in power system is dependent not only on the natural age but also on the number of operation, applications, and maintenance scheduling. In addition, condition‐monitoring systems (CMSs) are widely used to extend lifetime and improve the quality of maintenance. However, the employing CMSs for CBs are faced with economical and technical challenges. This paper presents a new probabilistic aging failure model for CBs equipped with CMS. The proposed model improves the conventional approach for the assessment of efficiency of maintenance strategies using available filed data and coupling some weighting factors. The model is based on the state diagram along with Monte Carlo simulations to provide more flexibility in quantification of practical concerns. The model helps us to compare all maintenance strategies within 1 framework to select the best policy with respect to working situation of CBs. The approach has been compared and verified with the conventional aging model. Moreover, it is numerically applied to 2 common types of CBs, that is, SF6 and minimum oil based on the field data to reveal the results of considering the real aging and dynamic behavior of CBs on cost/benefits of maintenance policies. The results of applying the proposed approach to CBs indicate that ignoring the realistic situation of CBs results in a significant underestimation or overestimation of reliability and consequently making a wrong decision on installation of CMS or even in selection of the optimum inspection time.

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“…He has derived results for determining when it is prudent to carry out at least one inspection over a finite planning horizon for the case of imperfect inspections. Usher et al who have discussed the case of a finite planning horizon with minimization of costs as their objective function. Nakagawa et al who have discussed the application of basic inspection policies over a finite time span to five models: back‐up for a hard disk, checkpoint for double modular redundancy, job partition, garbage collection, and network partition. Nakagawa and Mizutani who have developed three replacement policies for a one‐unit system; for the replacement policies, n identical units are sequentially replaced over a finite period [0, L ] in accordance with some set rules. Taghipour et al who have proposed a model to find the optimal periodic inspection interval on a finite time horizon for a complex repairable system. The system has components that can experience ‘hard failures’ (which are detected as and when they occur) and ‘soft failures’, which are only detected when an inspection is carried out. Ahmadi and Newby who use a new approach (which they defined as the intensity control model) at determining an optimal inspection schedule over a production run of finite length L with the sole objective of minimizing overall costs. Berrade et al who have researched on periodic inspections being conducted on a system over a finite planning horizon of length L . The inspections in their paper are imperfect, and the criterion they use is minimization of total cost over the planning horizon.…”

Section: Introductionmentioning

confidence: 99%

Optimal scheduling of inspection times in a production process with a finite planning horizon

Chipoyera

2016

Appl Stoch Models Bus & Ind

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Inspection models applicable to a finite planning horizon are developed for the following lifetime distributions: uniform, exponential, and Weibull distribution. For a given lifetime distribution, maximization of profit is used as the sole optimization criterion for determining an optimal planning horizon over which a system may be operated as well as ideal inspection times. Illustrative examples (focusing on the uniform and Weibull distributions and using Mathematica programs) are given. For some situations, evenly spreading inspections over the entire planning horizon are seen to result in the attainment of desirable profit levels over a shorter planning horizon. Scope for further research is given as well. Copyright © 2016 John Wiley & Sons, Ltd.

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Modelling imperfect inspection over a finite horizon

Cited by 27 publications

References 14 publications

A study of postponed replacement in a delay time model

A study of postponed replacement in a delay time model

Aging failure model of circuit breakers equipped with condition monitoring systems

Optimal scheduling of inspection times in a production process with a finite planning horizon

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