An Approximate Analytical Method of Analysis of a Threshold Maintenance Policy for a Multiphase Multicomponent Model

A multicomponent system is investigated that consists of n identical unreliable components whose nonfailure operating time consists of a number of sequential phases with exponential times. A maintenance policy is studied that proposes the instant replacement of all the components as soon as the numb...

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Bibliographic Details
Published in:Cybernetics and systems analysis 2003-05, Vol.39 (3), p.325
Main Authors: Anisimov, V V, Gurler, U
Format: Article
Language:English
Subjects:
Component parts
Cybernetics
Failure
Investigations
Markov analysis
Mathematical models
Methods
Preventive maintenance
Studies
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Summary:A multicomponent system is investigated that consists of n identical unreliable components whose nonfailure operating time consists of a number of sequential phases with exponential times. A maintenance policy is studied that proposes the instant replacement of all the components as soon as the number of components that are in some doubtful state (before a failure) amounts to a predefined threshold value. A cost function averaged over a large period is studied. For a fixed n, an analytical approach is considered. If n increases, a new approximate analytical approach is proposed, which is based on results of the type of the averaging principle for recurrent semi-Markovian processes. The conditions of existence and properties of the optimal strategy are studied. An example is considered and possibilities of generalizations are discussed. [PUBLICATION ABSTRACT]
ISSN:1060-0396
1573-8337
DOI:10.1023/A:1025725724500