Geometric failure rate reduction model for the analysis of repairable systems

Syamsundar, A.; Kumar, Dev

doi:10.1109/ram.2017.7889754

Cited by 2 publications

(2 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These datasets have been analyzed by many (e.g. Akman and Raftery, 1986;Baker, 1991;Vaurio, 1999;Phillips, 2000Phillips, , 2001Pulcini, 2001;Hong and Pai, 2006;Caroni, 2010;Fuqing and Kumar U, 2012;Gámiz and Lindqvist, 2016;Doyen et al, 2017;Syamsundar and Kumar, 2017), and feature in classic analyses in text books (e.g. Crowder et al, 1991;Meeker and Escobar, 1998;Blischke and Murthy, 2000).…”

Section: Classic Datasetsmentioning

confidence: 99%

Virtual series-system models of imperfect repair

Nafisah

Shrahili

Alotaibi

et al. 2019

Reliability Engineering & System Safety

View full text Add to dashboard Cite

Novel models of imperfect repair are fitted to classic reliability datasets. The models suppose that a virtual system comprises a component and a remainder in series. On failure of the component, the component is renewed, and on failure of the remainder, the component is renewed and the remainder is minimally repaired. It follows that the repair process is a counting process that is the superposition of a renewal process and a Poisson process. The repair effect, that is, the extent to the system is repaired by renewal of the component, depends on the relative intensities of the superposed processes. The repair effect may be negative, when the intensity of the part that is a renewal process is a decreasing function. Other special cases of the model exist (renewal process, Poisson process, superposed renewal process and homogeneous Poisson process). Model fit is important because the nature of the model and corresponding parameter values determine the effectiveness of maintenance, which we also consider. A cost-minimizing repair policy may be determined provided the cost of preventive-repair is less than the cost of corrective-repair and the repairable part is ageing. If the remainder is ageing, then policy needs to be adapted as it ages.

show abstract

Section: Classic Datasetsmentioning

confidence: 99%

Virtual series-system models of imperfect repair

Nafisah

Shrahili

Alotaibi

et al. 2019

Reliability Engineering & System Safety

View full text Add to dashboard Cite

show abstract

“…, where the parameter 𝜌 > 0 characterizes the repair effect. The empirical studies in Doyen et al (2017) and Syamsundar and Kumar (2017) have revealed that the GFRR model outperforms most existing imperfect repair models when fitting to real datasets. To mitigate the explosion problem, for which 𝜌 N * (t−) becomes too large when 𝜌 is far from 1 or when N * (t) is large, Dauxois et al (2019) proposed an Extended GFRR (EGFRR) model with the intensity process v(t) = 𝜌 𝛼(N * (t−)+1) 𝜆 0 ( t − S N * (t−) )…”

Section: Introductionmentioning

confidence: 99%

Efficient semiparametric estimation of time‐censored intensity‐reduction models for repairable systems

Wang

Chen

2022

Scandinavian J Statistics

View full text Add to dashboard Cite

The rate reduction models have been widely used to model the recurrent failure data for their capabilities in quantifying the repair effects. Despite the widespread popularity, there have been limited studies on statistical inference of most failure rate reduction models. In view of this fact, this study proposes a semiparametric estimation framework for a general class of such models, called extended geometric failure rate reduction (EGFRR) models. Covariates are considered in our analysis and their effects are modeled as a log-linear factor on the baseline failure rate. Unlike the existing inference methods for the EGFRR models that assume the failure data are censored at a fixed number of failures, our study considers covariates and time-censoring, which are more common in practice. The semiparametric maximum likelihood (ML) estimators are obtained by carefully constructing the likelihood function. Asymptotic properties including consistency and weak convergence of the ML estimators are established by using the properties of the martingale process. In addition, we show that the semiparametric estimators are asymptotically efficient. A real example from the automobile industry illustrates the usefulness of the proposed framework and This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

show abstract

Geometric failure rate reduction model for the analysis of repairable systems

Cited by 2 publications

References 2 publications

Virtual series-system models of imperfect repair

Virtual series-system models of imperfect repair

Efficient semiparametric estimation of time‐censored intensity‐reduction models for repairable systems

Contact Info

Product

Resources

About