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Optimal replacement with minimal repair policy for a system operating over a random time horizon

Abdelhakim Khatab (Laboratory of Industrial Engineering and Production of Metz (LGIPM), Ecole Nationale d'Ingénieurs de Metz, Metz, France)
Nidhal Rezg (Laboratory of Industrial Engineering and Production of Metz (LGIPM), Université Paul‐Verlaine, Metz, France)
Daoud Ait‐Kadi (Mechanical Engineering Department, Faculty of Science and Engineering, Université Laval, Quebec, Canada)

Journal of Quality in Maintenance Engineering

ISSN: 1355-2511

Article publication date: 25 October 2011

Abstract

Purpose

This paper aims to investigate the optimization of the replacement with minimal repair policy for a system which experiences a time horizon of random length. Under such policy system replacement occurs at multiples of some period while minimal repair is performed at system failure between two successive replacements.

Design/methodology/approach

The objective function is the expected total cost composed of minimal repairs and replacements costs. A simple and compact expression is derived for the expected total costs and conditions under which an optimal replacement period exits are given. For sake of illustration, a numerical example is provided.

Findings

The paper finds that by the recent great technological development, the life cycle of present products is seen to be reduced more and more. This has motivated the development of maintenance optimization models for systems which experience an exact finite time horizon.

Originality/value

To ensure the benefits from the improved technologies, the information concerning the technological change must be taken into account. Such information is based on technological forecasting and difficult to obtain and merely rely on uncertainties.

Keywords

Citation

Khatab, A., Rezg, N. and Ait‐Kadi, D. (2011), "Optimal replacement with minimal repair policy for a system operating over a random time horizon", Journal of Quality in Maintenance Engineering, Vol. 17 No. 4, pp. 415-423. https://doi.org/10.1108/13552511111180203

Publisher

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Emerald Group Publishing Limited

Copyright © 2011, Emerald Group Publishing Limited