An approximate analytical method of analysis of a threshold maintenance policy for a multiphase multicomponent model

被引:7
作者
V. V. Anisimov
U. Gurler
机构
[1] GlaxoSmithKline Company, Harlow, Essex
[2] Bilkent University, Bilkent, Ankara
关键词
Approximate analytical analysis; Multicomponent systems; Multistate components; Random failures; Recurrent processes of the semi-Markov type; Switching processes; Threshold maintenance policy;
D O I
10.1023/A:1025725724500
中图分类号
学科分类号
摘要
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. © 2003 Plenum Publishing Corporation.
引用
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页码:325 / 337
页数:12
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