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Optimum block replacement policy over a random time horizon

Abdelhakim Khatab 1 Nidhal Rezg 1 Daoud Ait-Kadi
1 COSTEAM - Optimal and secure management of manufacturing systems
Inria Nancy - Grand Est, UPVM - Université Paul Verlaine - Metz
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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https://hal.inria.fr/inria-00601411
Contributor : Ist Inria Nancy Grand Est <>
Submitted on : Friday, June 17, 2011 - 3:42:45 PM
Last modification on : Saturday, May 22, 2021 - 5:12:02 PM

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Abdelhakim Khatab, Nidhal Rezg, Daoud Ait-Kadi. Optimum block replacement policy over a random time horizon. Journal of Intelligent Manufacturing, Springer Verlag (Germany), 2011, ⟨10.1007/s10845-009-0364-9⟩. ⟨inria-00601411⟩

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