A d-shock maintenance model for a deteriorating system

A d-shock maintenance model for a deteriorating system

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Article ID: iaor20063378
Country: Netherlands
Volume: 168
Issue: 2
Start Page Number: 541
End Page Number: 556
Publication Date: Jan 2006
Journal: European Journal of Operational Research
Authors: ,
Keywords: maintenance, repair & replacement
Abstract:

In this paper, a d-shock maintenance model for a deteriorating system is studied. Assume that shocks arrive according to a renewal process, the interarrival time of shocks has a Weibull distribution or gamma distribution. Whenever an interarrival time of shocks is less than a threshold, the system fails. Assume further the system is deteriorating so that the successive threshold values are geometrically nondecreasing, and the consecutive repair times after failure form an increasing geometric process. A replacement policy N is adopted by which the system will be replaced by an identical new one at the time following the Nth failure. Then the long-run average cost per unit time is evaluated. Afterwards, an optimal policy N* for minimizing the long-run average cost per unit time could be determined numerically.

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