Preventive maintenance for homogeneous and heterogeneous systems

Finkelstein, Maxim; Levitin, Gregory

doi:10.1002/asmb.2422

Cited by 10 publications

(7 citation statements)

References 26 publications

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“…It is usually assumed that t ER > t PM (see page 85 of Reference 6). Using the same arguments as used to write the expected cost function in (9), we can show that the average time of a renewal period is…”

Section: Availability Of the Networkmentioning

confidence: 99%

“…For some classical textbooks on this topic and related subjects, we refer the reader to References 6‐8 and references therein. Finkelstein and Levitin 9 gave PM models for systems with homogeneous and heterogeneous components whose failures may be considered as major and minor. In their models, a system with major failure is replaced with a new one, whereas minor failures result in minimal repairs.…”

Section: Introductionmentioning

confidence: 99%

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Optimal preventive maintenance for reparable networks

Memari

Zarezadeh

Asadi

2021

Appl Stoch Models Bus & Ind

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Nowadays, networks (systems) appear in many areas of science and technology.One of the most important strategies to reduce the likelihood of the failure of an operating network is preventive maintenance (PM). In this article, we propose some optimal PM models for a network consisting of n, n ≥ 1, links (components). The criteria of interest are the "cost function" of renewing the network and "stationary availability" of the network during its mission. In the first part of the article, we consider the case that the network is formed of identical components while in the second part, we deal with the case that the network is built up from several nonidentical groups of components. In both parts, we utilize the PM under some partial information about the status of the network at a time t.The results of the article are developed using the notions of signature and survival signature. To interpret the proposed models, the results are illustrated numerically and graphically for two networks.

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Section: Availability Of the Networkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Optimal preventive maintenance for reparable networks

Memari

Zarezadeh

Asadi

2021

Appl Stoch Models Bus & Ind

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“…A condition‐based maintenance strategy for a deteriorating system exposed to sudden shocks and continuous internal degradation is also introduced in Caballé and Castro 26 . An approach for maintaining homogeneous and heterogeneous systems is suggested by Finkelstein and Levitin 27 . In their proposed models, two types of failure (critical and minor) are considered for the system.…”

Section: Introductionmentioning

confidence: 99%

On preventive maintenance scheduling for the systems exposed to aging and external shocks

Hashemi

Asadi

Tavangar

2022

Appl Stoch Models Bus & Ind

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This paper investigates some maintenance strategies for repairable systems that are exposed to two distinct types of failure: internal failures due to aging over time and fatal external shocks arriving according to a nonhomogeneous Poisson process. When the system fails, it will be repaired, and it is assumed that the repair does not bring the system to an as-good-as-new state. Two maintenance models are developed to prevent the system from failure under the mentioned scenario. By imposing the related cost functions, we investigate the corresponding optimal policy for each model such that the expected cost rate is minimized. Some numerical examples and simulation studies are presented to demonstrate the proposed maintenance models.

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“…As for the development of the multi-state system-one can find it in [27]. Recent developments on optimal PM policies can be found in [28][29][30][31][32]. For a review on the recent investigations on maintenance optimization, see [33].…”

Section: Introductionmentioning

confidence: 99%

Preventive Maintenance of the k-out-of-n System with Respect to Cost-Type Criterion

2021

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In a previous paper, the problem of how the preventive maintenance organization for the k-out-of-n: F system could be used, in order to maximize system availability, was considered. The current paper continues these investigations using a different optimization criterion. The proposed approach is based on decision making theory for regenerative processes. We propose a general procedure for comparing different preventive maintenance strategies based on the ordered statistics distributions, aiming to choose the best one with respect to cost-type criterion. The lifetime distributions of system units are usually unknown and only one or two of their moments are available. For this reason, we pay special attention to the sensitivity analysis of decision making about preventive maintenance, taking into account the shape of the system unit lifetime distributions. A numerical study of two examples based on a real-world system illustrates the results of the proposed approach.

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Preventive maintenance for homogeneous and heterogeneous systems

Cited by 10 publications

References 26 publications

Optimal preventive maintenance for reparable networks

Optimal preventive maintenance for reparable networks

On preventive maintenance scheduling for the systems exposed to aging and external shocks

Preventive Maintenance of the k-out-of-n System with Respect to Cost-Type Criterion

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