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Optimum block replacement policy over a random time horizon

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Abstract

In this paper we consider the block replacement policy (BRP) for a system operating over a random time horizon. Under such a policy, a system is replaced by a new one either at failure or at a given time interval. The optimality criterion is the expected total replacements cost. Conditions under which an optimal replacement period exits are given. It is shown that BRP over an infinite time horizon is obtained as a particular case of the present work. A numerical example is given to illustrate the proposed replacement model.

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Authors and Affiliations

  1. Laboratory of Industrial Engineering and Production of Metz (LGIPM), Ecole Nationale d’Ingénieurs de Metz, Metz, France

    Abdelhakim Khatab

  2. Laboratory of Industrial Engineering and Production of Metz (LGIPM), Université Paul-Verlaine, Metz, France

    Nidhal Rezg

  3. Mechanical Engineering Department, Faculty of Science and Engineering, Interuniversity Research Center on Entreprise Networks, Logistics and Transportation (CIRRELT), Université Laval, Quebec, QC, Canada

    Daoud Ait-Kadi

Authors
  1. Abdelhakim Khatab
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  2. Nidhal Rezg
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  3. Daoud Ait-Kadi
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Correspondence to Abdelhakim Khatab.

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Khatab, A., Rezg, N. & Ait-Kadi, D. Optimum block replacement policy over a random time horizon. J Intell Manuf 22, 885–889 (2011). https://doi.org/10.1007/s10845-009-0364-9

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  • DOI: https://doi.org/10.1007/s10845-009-0364-9

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