Imperfect maintenance

Pham, Hoang; Wang, Hongzhou

doi:10.1016/s0377-2217(96)00099-9

Cited by 625 publications

(322 citation statements)

References 70 publications

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“…Pham & Wang [34] classify the maintenance according to the degree to which the operating conditions of an item is restored. The perfect repair/maintenance is related to a system that after the event has the same lifetime distribution and failure intensity as a brand new, and generally there is a replacement of the failed item.…”

Section: The Proposed Q-weibull-grp and Q-exponential-grp Modelsmentioning

confidence: 99%

Combining Generalized Renewal Processes with Non-Extensive Entropy-Based q-Distributions for Reliability Applications

Lins

Moura

Droguett

et al. 2018

Entropy

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Abstract:The Generalized Renewal Process (GRP) is a probabilistic model for repairable systems that can represent the usual states of a system after a repair: as new, as old, or in a condition between new and old. It is often coupled with the Weibull distribution, widely used in the reliability context. In this paper, we develop novel GRP models based on probability distributions that stem from the Tsallis' non-extensive entropy, namely the q-Exponential and the q-Weibull distributions. The q-Exponential and Weibull distributions can model decreasing, constant or increasing failure intensity functions. However, the power law behavior of the q-Exponential probability density function for specific parameter values is an advantage over the Weibull distribution when adjusting data containing extreme values. The q-Weibull probability distribution, in turn, can also fit data with bathtub-shaped or unimodal failure intensities in addition to the behaviors already mentioned. Therefore, the q-Exponential-GRP is an alternative for the Weibull-GRP model and the q-Weibull-GRP generalizes both. The method of maximum likelihood is used for their parameters' estimation by means of a particle swarm optimization algorithm, and Monte Carlo simulations are performed for the sake of validation. The proposed models and algorithms are applied to examples involving reliability-related data of complex systems and the obtained results suggest GRP plus q-distributions are promising techniques for the analyses of repairable systems.

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Section: The Proposed Q-weibull-grp and Q-exponential-grp Modelsmentioning

confidence: 99%

Combining Generalized Renewal Processes with Non-Extensive Entropy-Based q-Distributions for Reliability Applications

Lins

Moura

Droguett

et al. 2018

Entropy

View full text Add to dashboard Cite

show abstract

“…In most maintenance optimization models, maintenance action duration (repair and maintenance times) is assumed to be negligible (Pham and Wang 1996). Nevertheless, making this assumption can have a big influence on the determination of the optimal maintenance policy.…”

Section: Maintenance Concepts Policies and Actionsmentioning

confidence: 99%

“…Maintenance effectiveness is the degree to which the operating conditions of an item are restored after a maintenance action is performed. Pham and Wang (1996) give an overview of the different possible degrees of restoration:…”

Section: Maintenance Effectivenessmentioning

confidence: 99%

“…Beyond this model, lots of other methods exists to model imperfect maintenance: (p, q) rule, (p(t), q(t)) rule, improvement factor, virtual age method, shock model method, (a, b) rule and multiple (p, q) rule. These methods are classified for various maintenance policies by Pham and Wang (1996).…”

Section: Maintenance Effectivenessmentioning

confidence: 99%

“…Many surveys on maintenance optimization already appeared in literature (Cho and Parlar 1991;Dekker 1995bDekker , 1996Jardine and Tsang 2006;McCall 1965;Nakagawa 2005;Pham and Wang 1996;Pierskalla and Voelker 1976;Scarf 1997;Sherif and Smith 1981;Valdez-Flores and Feldman 1989;Wang 2002). Although they give a nice overview of different available optimization models, they do not assist practitioners in deciding which model to use or in developing a model that fits their needs.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Maintenance optimization models and criteria

Horenbeek

Pintelon

Muchiri

2010

Int J Syst Assur Eng Manag

115

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Due to widespread automation and the high capital tied up in production equipment, the importance of maintenance is ever increasing. This makes maintenance an investment opportunity to be optimized, not a cost to be minimized. Academics have recognized this and many maintenance optimization models have been published over the years. Most of these models focus on one optimization criterion or objective, making multi-objective optimization models an underexplored area of maintenance optimization. Moreover, there is a big gap between academic models and application in practice. It is very difficult for industrial companies to adapt these models to their specific business context. This article reviews the literature on maintenance optimization models, with special focus on the optimization criteria and objectives used. To overcome flaws in present optimization models, a generic classification framework of maintenance optimization models is presented. All factors that have an influence on the optimization model will be made explicit and their links will be established. The framework is a starting point to develop business specific optimization models and enables decision making in e-maintenance. Moreover, it ensures a fit between the business model of a company and the maintenance optimization model right from the beginning. Future research will be on the development of a maintenance optimization model taking into account the most relevant optimization influence factors and criteria for a situation at hand.

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Optimal (?,T) opportunistic maintenance of ak-out-of-n:G system with imperfect PM and partial failure

Pham

Wang

2000

Naval Research Logistics

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Imperfect maintenance

Cited by 625 publications

References 70 publications

Combining Generalized Renewal Processes with Non-Extensive Entropy-Based q-Distributions for Reliability Applications

Combining Generalized Renewal Processes with Non-Extensive Entropy-Based q-Distributions for Reliability Applications

Maintenance optimization models and criteria

Optimal (?,T) opportunistic maintenance of ak-out-of-n:G system with imperfect PM and partial failure

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