Optimal policies for cumulative damage models with maintenance last and
          first

Optimal policies for cumulative damage models with maintenance last and first

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Article ID: iaor20127783
Volume: 110
Issue: 1
Start Page Number: 50
End Page Number: 59
Publication Date: Feb 2013
Journal: Reliability Engineering and System Safety
Authors: , ,
Keywords: preventative maintenance
Abstract:

From the economical viewpoint of several combined PM policies in reliability theory, this paper takes up a standard cumulative damage model in which the notion of maintenance last is applied, i.e., the unit undergoes preventive maintenances before failure at a planned time T, at a damage level Z, or at a shock number N, whichever occurs last. Expected cost rates are detailedly formulated, and optimal problems of two alternative policies which combine time‐based with condition‐based preventive maintenances are discussed, i.e., optimal T L * equ1 for N, Z L * equ2 for T, and N L * equ3 for T are rigorously obtained. Comparison methods between such maintenance last and conventional maintenance first are explored. It is determined theoretically and numerically which policy should be adopted, according to the different methods in different cases when the time‐based or the condition‐based PM policy is optimized.

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