Steady-state imperfect repair models

Liu, Xingheng; Finkelstein, Maxim; Vatn, Jørn; Dijoux, Yann

doi:10.1016/j.ejor.2020.03.057

Cited by 16 publications

(20 citation statements)

References 41 publications

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“…The corresponding remaining lifetime after the described type of a repair is obviously defined by the following survival function

\overset{true‾}{F} false(t false| τ false) = \frac{\overset{true‾}{F} false(t + τ false)}{\overset{true‾}{F} false(τ false)},

where

\overset{true‾}{F} \equiv 1 - F

and t is, obviously, an argument of this function describing the time to the next failure. The well‐known Kijima's models of imperfect repair 1 for repairable items (recurrent events), were based on this assumption (see also, 2 where the similar notions were discussed independently and later re‐established and developed for the case of the corresponding asymptotic properties in Finkelstein 9 and Liu et al 10 Thus, in this way, the term "virtual age" naturally emerged as the reduced time τ after the repair, can be considered as such, although Malik 11 was probably the first to consider the corresponding age reduction operation. A comprehensive study of the model and its generalizations were performed in the influential paper by Doyen and Gaudoin 12 .…”

Section: Virtual Age and Imperfect Repairmentioning

confidence: 99%

“…On the other hand, although not practically justified in the sense defined above, this black‐box reasoning can be effectively used, in principle, for fitting the real imperfect repair data, which is done in numerous publication (see Levitin and Lisniansky, 20 Dijoux et al, 15 de Toledo et al, 21 Liu et al, 10 to name a few). In fact, this is the case for many statistical applications when the model itself does not necessarily follow the real, for example, degradation processes which it models.…”

Section: Virtual Age and Imperfect Repairmentioning

confidence: 99%

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Virtual age, is it real? ‐ Discussing virtual age in reliability context

Finkelstein

Hwan

2020

Appl Stoch Models Bus & Ind

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Several settings, where the notion of virtual age is employed, are discussed. We argue that the age reduction imperfect repair modeling is often not sufficiently justified in practice, as it is not possible to execute repair in most of real situations that conforms with this model. On the other hand, a shock‐based virtual age model is suggested and justified via the probabilities of failures on shocks. The new notion of virtual age for degrading items is also introduced. We discuss how to recalculate virtual age after switching from one regime to another. Several examples illustrating different notions of virtual age are presented.

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“…The corresponding remaining lifetime after the described type of a repair is obviously defined by the following survival function

\overset{true‾}{F} false(t false| τ false) = \frac{\overset{true‾}{F} false(t + τ false)}{\overset{true‾}{F} false(τ false)},

where

\overset{true‾}{F} \equiv 1 - F

Section: Virtual Age and Imperfect Repairmentioning

confidence: 99%

Section: Virtual Age and Imperfect Repairmentioning

confidence: 99%

Virtual age, is it real? ‐ Discussing virtual age in reliability context

Finkelstein

Hwan

2020

Appl Stoch Models Bus & Ind

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“…Thus, this model already deals with reduction of degradation (see a different approach in Section 5). Some interesting results on the steady‐state properties, for example, for the asymptotic virtual age for the imperfect repair models of the Kijima‐type are presented in Liu et al 10 …”

Section: General Modeling‐wise Discussionmentioning

confidence: 99%

Rejoinder to “Virtual age, is it real?”

Finkelstein

Hwan

2021

Appl Stoch Models Bus & Ind

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In this rejoinder, we first comment on valuable discussions of contributors. Based on these meaningful inputs, we proceed with description of the notion of “virtual age” from different perspectives. We also add a more detailed description for the new concept of a random virtual age that is applied to degrading items. The latter is used for age recalculation when one operational regime is switched to another.

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“…16 The three parameters β, η, and RF govern the virtual age with imperfect repairs. 17 The RF is critical in this process as it determines, from the data, how well the repairs have restored the equipment to its original condition. Most reliability professionals assume the repairs restore the equipment condition back to as good as new (RF = 1) or leave it the same as before (RF = 0).…”

Section: F I G U R E 1 a Typical Arrangement Of A Fossil Power Plantmentioning

confidence: 99%

“…Nguyen et al developed an Arithmetic Reduction Age model for the baseline Weibull distribution 16 . The three parameters β, η, and RF govern the virtual age with imperfect repairs 17 …”

Section: Introductionmentioning

confidence: 99%

A dynamic process for evaluating the reliability of fossil power plant assets

Palakodeti

Raju

Guo³

2020

Engineering Reports

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Budgets and maintenance programs in fossil power plants are frequently set based on engineering judgment rather than a Probabilistic Risk Assessment (PRA). Fossil power plants seldom use PRA due to a lack of practical processes, especially when field reliability data are not readily available. In the absence of field data, using general industry data may not be right for conducting PRA for a given organization as the operation and maintenance conditions significantly vary between organizations. To have a successful PRA, an organization needs to use its own field data, and have an efficient process for its organization. Studies have suggested using field data provides a robust model and accurate results. Use of Reliability Block Diagrams for Reliability, Availability, and Maintainability analysis is not new. However, applications of these techniques are new to fossil power plants. In this paper, we propose a practical process by integrating several existing reliability techniques for fossil plants to apply PRA. The process was tested at many power plants, and the results aligned well with the actual values. The methodology outlined in this paper is a forward-looking tool for managers to predict system reliability, and proactively develop maintenance plans and budgets.

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Steady-state imperfect repair models

Cited by 16 publications

References 41 publications

Virtual age, is it real? ‐ Discussing virtual age in reliability context

Virtual age, is it real? ‐ Discussing virtual age in reliability context

Rejoinder to “Virtual age, is it real?”

A dynamic process for evaluating the reliability of fossil power plant assets

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