Optimal number of minimal repairs before replacement of a system subject to shocks

Optimal number of minimal repairs before replacement of a system subject to shocks

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Article ID: iaor19961973
Country: United States
Volume: 43
Issue: 3
Start Page Number: 319
End Page Number: 334
Publication Date: Apr 1996
Journal: Naval Research Logistics
Authors: ,
Abstract:

A system is subject to shocks that arrive according to a nonhomogeneous Poisson process. As shocks occur a system has two types of failures. Type 1 failure (minor failure) is removed by a minimal repair, whereas type 2 failure (catastrophic failure) is removed by replacement. The probability of a type 2 failure is permitted to depend on the number of shocks since the last replacement. A system is replaced at the times of type 2 failure or at the nth type 1 failure, whichever comes first. The optimal policy is to select n* to minimize the expected cost per unit time for an infinite time span. A numerical example is given to illustrate the method.

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