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A Survey of Replacement Models with Minimal Repair

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Replacement Models with Minimal Repair

Part of the book series: Springer Series in Reliability Engineering ((RELIABILITY))

Abstract

This presentation, which is mainly of an expository nature, is divided into two parts. The first part is concerned with age replacement age replacement models with minimal repair minimal repair and the second part deals with block replacement block replacement models with minimal repair. Each part focuses mainly on the mathematical modeling of the notion of minimal repair. To limit the scope of this survey, we decided to limit ourselves almost exclusively to research on papers where a cost function cost function is designed specifically and optimal replacement replacement times optimal replacement times that yield minimum cost are sought.

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Abbreviations

MR:

minimal repair

PM:

preventive maintenance

CM:

corrective maintenance corrective maintenance

HPP:

non-homogeneous Poisson process non-homogeneous Poisson process

Cdf:

cumulative distribution function

Sf:

survival function

pdf:

probability density function

pmf:

probability mass function

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Authors and Affiliations

  1. Département de Mathématiques et Génie Industriel (MAGI), École Polytechnique de Montréal, 2500 chemin de Polytechnique, Montreal, QC, H3T 1J4, Canada

    Mohamed-Salah Ouali

  2. Sobey School of Business, Saint Mary’s University, Halifax, NS, B3H 3C3, Canada

    Lotfi Tadj

  3. School of Business Administration, Dalhousie University, Halifax, NS, B3H 4H6, Canada

    Lotfi Tadj

  4. Department of Mechanical Engineering, Laval University, Quebec, G1K 7P4, Canada

    Soumaya Yacout

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  1. Mohamed-Salah Ouali
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  2. Lotfi Tadj
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  3. Soumaya Yacout
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  4. Daoud Ait-Kadi
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Correspondence to Mohamed-Salah Ouali .

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  1. Sobey School of Business, Dept. of Finance, Information, Saint Mary's University, 923 Robie Robie Street, Halifax, B3H 3C3, Nova Scotia, Canada

    Lotfi Tadj

  2. , Department of Mathematics and Industrial, Ecole Polytechnique de Montreal, Montreal, H3T 1J4, Québec, Canada

    M.-Salah Ouali

  3. , Department of Mathematics and Industrial, Ecole Polytechnique de Montreal, Montreal, H3T 1J4, Québec, Canada

    Soumaya Yacout

  4. , Department of Mechanical Engineering, Laval University, Quebec, G1K 7P4, Canada

    Daoud Ait-Kadi

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Ouali, MS., Tadj, L., Yacout, S., Ait-Kadi, D. (2011). A Survey of Replacement Models with Minimal Repair. In: Tadj, L., Ouali, MS., Yacout, S., Ait-Kadi, D. (eds) Replacement Models with Minimal Repair. Springer Series in Reliability Engineering. Springer, London. https://doi.org/10.1007/978-0-85729-215-5_1

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