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

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.

Mots clés: Preventive maintenance; Reliability; Optimization

Domaines: Modélisation et simulation; Performance et fiabilité [cs.PF]; Recherche opérationnelle [math.OC]

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