Imperfect repair modeling using Kijima type generalized renewal process

Tanwar, Monika; Nandan, Rajiv; Bolia, Nomesh B.

doi:10.1016/j.ress.2013.10.007

Cited by 77 publications

(27 citation statements)

References 60 publications

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“…More details on models and methodologies available to deal with imperfect maintenance can be found in Nakagawa (2008) and Wang and Pham (2006). An extensive review of Kijima's model and its applications can be found in Tanwar, Rai, and Bolia (2014).…”

Section: Imperfect Maintenance Model Cost and Duration Functionsmentioning

confidence: 99%

Selective maintenance optimisation for series-parallel systems alternating missions and scheduled breaks with stochastic durations

Khatab¹,

Aghezzaf

Diallo

et al. 2017

International Journal of Production Research

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This paper deals with the selective maintenance problem for a multi-component system performing consecutive missions separated by scheduled breaks. To increase the probability of successfully completing its next mission, the system components are maintained during the break. A list of potential imperfect maintenance actions on each component, ranging from minimal repair to replacement is available. The general hybrid hazard rate approach is used to model the reliability improvement of the system components. Durations of the maintenance actions, the mission and the breaks are stochastic with known probability distributions. The resulting optimisation problem is modelled as a non-linear stochastic programme. Its objective is to determine a cost-optimal subset of maintenance actions to be performed on the components given the limited stochastic duration of the break and the minimum system reliability level required to complete the next mission. The fundamental concepts and relevant parameters of this decision-making problem are developed and discussed. Numerical experiments are provided to demonstrate the added value of solving this selective maintenance problem as a stochastic optimisation programme.

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Section: Imperfect Maintenance Model Cost and Duration Functionsmentioning

confidence: 99%

Selective maintenance optimisation for series-parallel systems alternating missions and scheduled breaks with stochastic durations

Khatab¹,

Aghezzaf

Diallo

et al. 2017

International Journal of Production Research

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“…Doyen and Gaudoin [10] studied several classes of virtual age models based on deterministic reduction of effective age due to repairs. In a recent review article, Tanwar et al [28] conduct a thorough survey of virtual age models described in terms of the so-called Generalized Renewal Process (GRP) introduced in [20].…”

Section: Introductionmentioning

confidence: 99%

Nonparametric estimation in trend-renewal processes

Gámiz

Lindqvist

2016

Reliability Engineering & System Safety

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“…To date, a number of authors have worked on the adjustment and/or application of WGRP (Krivtsov, 2000;Yanez et al, 2002;Mettas and Zhao, 2005). Tanwar et al (2014) conduct a survey and bring other references in this theme. Due to the lack of WGRP GOFT, these authors have inadvertently assumed that the Weibull distribution underlies the stochastic process under study.…”

Section: Introductionmentioning

confidence: 99%