On the Maintenance Modeling of a Hybrid Model with Exponential Repair Efficiency

In the reliability literature, maintenance efficiency is usually dealt with as a fixed value. Since repairable systems are subject to different degrees and types of repair, it is more convenient to regard a random variable for maintenance efficiency. This paper is devoted to the statistical study of...

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Published inInternational journal of mathematical, engineering and management sciences Vol. 6; no. 1; pp. 254 - 267
Main Authors Nissas, Wassila, Gasmi, Soufiane
Format Journal Article
LanguageEnglish
Published Dehradun International Journal of Mathematical, Engineering and Management Sciences 01.02.2021
Ram Arti Publishers
Subjects
Efficiency
failure rate
likelihood estimation
parametric statistical test
Parametric statistics
Random variables
reliability
virtual age
Online AccessGet full text
ISSN2455-7749
2455-7749
DOI10.33889/IJMEMS.2021.6.1.016

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Abstract In the reliability literature, maintenance efficiency is usually dealt with as a fixed value. Since repairable systems are subject to different degrees and types of repair, it is more convenient to regard a random variable for maintenance efficiency. This paper is devoted to the statistical study of a general hybrid model for repairable systems working under imperfect maintenance. For both failure improvement and virtual age reduction of the system, maintenance efficiency is assumed to be random, with an exponential distribution as a probability density function. The likelihood function of this model is provided, and the estimation of the model parameters is computed by considering the maximization likelihood procedure. Obtained results were tested and applied to simulated and real data sets. To construct confidence intervals, the bias-corrected accelerated bootstrap method has been used.
AbstractList In the reliability literature, maintenance efficiency is usually dealt with as a fixed value. Since repairable systems are subject to different degrees and types of repair, it is more convenient to regard a random variable for maintenance efficiency. This paper is devoted to the statistical study of a general hybrid model for repairable systems working under imperfect maintenance. For both failure improvement and virtual age reduction of the system, maintenance efficiency is assumed to be random, with an exponential distribution as a probability density function. The likelihood function of this model is provided, and the estimation of the model parameters is computed by considering the maximization likelihood procedure. Obtained results were tested and applied to simulated and real data sets. To construct confidence intervals, the bias-corrected accelerated bootstrap method has been used.
Author Gasmi, Soufiane
Nissas, Wassila
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SubjectTerms Efficiency
failure rate
likelihood estimation
parametric statistical test
Parametric statistics
Random variables
reliability
virtual age
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