Optimal age-replacement time with minimal repair based on cumulative repair cost limit and random lead time

Optimal age-replacement time with minimal repair based on cumulative repair cost limit and random lead time

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Article ID: iaor200972045
Country: United Kingdom
Volume: 40
Issue: 7
Start Page Number: 703
End Page Number: 715
Publication Date: Jul 2009
Journal: International Journal of Systems Science
Authors: , ,
Abstract:

In this article, we consider an age-replacement model with minimal repair based on a cumulative repair cost limit and random lead time for replacement delivery. A cumulative repair cost limit policy uses information about a system's entire repair cost history to decide whether the system is repaired or replaced; a random lead time models delay in delivery of a replacement once it is ordered. A general cost model is developed for the average cost per unit time based on the stochastic behaviour of the assumed system, reflecting the costs of both storing a spare and of system downtime. The minimum-cost policy time is derived, its existence and uniqueness is shown, and structural properties are presented. Various special cases are included. Because the framework and analysis are general, the proposed model extends several existing results. Finally, a numerical example is provided for illustration.

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