An Extended Opportunity‐Based Age Replacement Policy

An Extended Opportunity‐Based Age Replacement Policy

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Article ID: iaor20127457
Volume: 34
Issue: 2
Start Page Number: 145
End Page Number: 154
Publication Date: Apr 2000
Journal: RAIRO - Operations Research
Authors: ,
Keywords: decision
Abstract:

The present study proposes an extended opportunity‐based age replacement policy where opportunities occur according to a Poisson process. When the age, x of the system satisfies x < S for a prespecified value S, a corrective replacement is conducted if the objective system fails. In case x satisfies S ≤ x < T for another prespecified value T, we take an opportunity to preventively replace the system by a new one with probability p, and do not take the opportunity with probability 1 ‐ p. At the moment x reaches T, a preventive replacement is executed independently of opportunities. The long‐term average cost of the proposed policy is formulated. The conditions under which optimal values for S and T exist for a prespecified value of T and S, respectively, are then clarified. Numerical examples are also presented to illustrate the theoretical underpinnings of the proposed replacement policy formulation.

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