Cost-optimal periodical replacement policy for a system subjected to shock damage

Abstract This paper is concerned with a periodical replacement policy for a system which is subjected to shocks. Such shock can be classified, depending on its effect to the system, into two types: Lethal and Nonlethal. Whenever the system receives a nonlethal shock, it does damage to the system in the sense that it increases the failure rate. However, a lethal shock whenever occurs causes the system into failure due to its excessive stress. Since the occurrence of shocks could be easily to make the system fail and, consequently, to increase the operation cost of the system, there is an incentive to replace the system preventively prior to failure. Hence, a periodical replacement policy for the system will be presented and then we give the conditions which characterize the optimal replacement period T∗. The results are illustrated through numerical examples.

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