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

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Cybernetics and Systems Analysis Aims and scope

Abstract

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.

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Authors and Affiliations

  1. GlaxoSmithKline company, Harlow, Essex, United Kingdom

    V. V. Anisimov

  2. Bilkent University, Bilkent, Ankara, Turkey

    U. Gurler

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  1. V. V. Anisimov
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  2. U. Gurler
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Anisimov, V.V., Gurler, U. An Approximate Analytical Method of Analysis of a Threshold Maintenance Policy for a Multiphase Multicomponent Model. Cybernetics and Systems Analysis 39, 325–337 (2003). https://doi.org/10.1023/A:1025725724500

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