Study on the mathematical model under optimal replacement for a deteriorative repairable system

Study on the mathematical model under optimal replacement for a deteriorative repairable system

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Article ID: iaor20081651
Country: China
Volume: 36
Issue: 4
Start Page Number: 1
End Page Number: 4
Publication Date: Apr 2006
Journal: Mathematics in Practice and Theory
Authors: , ,
Abstract:

In this paper, a deteriorative repairable system consisting of a component is studied. Assume that the component after repair is not as good as new, we consider a kind of replacement policy N of the system based on the number of failures. The explicit expressions of the long-run average benefit per unit time are calculated. Under certain conditions, we prove that the policy N* is even optimal among all replacement policy. Finally, we discuss this policy by using the geometric process.

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