Replacement problems for a cold standby repairable system

Replacement problems for a cold standby repairable system

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Article ID: iaor20061559
Country: United Kingdom
Volume: 37
Issue: 1
Start Page Number: 17
End Page Number: 25
Publication Date: Jan 2006
Journal: International Journal of Systems Science
Authors: , ,
Abstract:

In this paper, a cold standby repairable system consisting of two identical components and one repairman is studied. Assume that each component after repair is not “as good as new”, by using a geometric process, we consider two kinds of replacement policy, one based on the working age T of component 1 under which the system is replaced when the working age of component 1 reaches T, and the other based on the failure number N of component 1 under which the system is replaced when the failure number of component 1 reaches N. Our problem is to choose optimal replacement policies T* and N* respectively such that the long-run average cost per unit time of the system is minimized. And we can prove under some mild conditions that the opimal policy N* is better than the optimal policy T*. Finally, a numerical example for policy N is given.

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