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(n, N) type maintenance policy for multi-component systems with failure interactions

Title
(n, N) type maintenance policy for multi-component systems with failure interactions
Authors
Zhang, ZhuoqiWu, SuLi, BinfengLEE, SEUNG CHUL
POSTECH Authors
LEE, SEUNG CHUL
Date Issued
Apr-2015
Publisher
TAYLOR & FRANCIS LTD
Abstract
This paper studies maintenance policies for multi-component systems in which failure interactions and opportunistic maintenance (OM) involve. This maintenance problem can be formulated as a Markov decision process (MDP). However, since an action set and state space in MDP exponentially expand as the number of components increase, traditional approaches are computationally intractable. To deal with curse of dimensionality, we decompose such a multi-component system into mutually influential single-component systems. Each single-component system is formulated as an MDP with the objective of minimising its long-run average maintenance cost. Under some reasonable assumptions, we prove the existence of the optimal (n, N) type policy for a single-component system. An algorithm to obtain the optimal (n, N) type policy is also proposed. Based on the proposed algorithm, we develop an iterative approximation algorithm to obtain an acceptable maintenance policy for a multi-component system. Numerical examples find that failure interactions and OM pose significant effects on a maintenance policy.
This paper studies maintenance policies for multi-component systems in which failure interactions and opportunistic maintenance (OM) involve. This maintenance problem can be formulated as a Markov decision process (MDP). However, since an action set and state space in MDP exponentially expand as the number of components increase, traditional approaches are computationally intractable. To deal with curse of dimensionality, we decompose such a multi-component system into mutually influential single-component systems. Each single-component system is formulated as an MDP with the objective of minimising its long-run average maintenance cost. Under some reasonable assumptions, we prove the existence of the optimal (n, N) type policy for a single-component system. An algorithm to obtain the optimal (n, N) type policy is also proposed. Based on the proposed algorithm, we develop an iterative approximation algorithm to obtain an acceptable maintenance policy for a multi-component system. Numerical examples find that failure interactions and OM pose significant effects on a maintenance policy.
Keywords
Markov decision processes; multi-component system; opportunistic maintenance; maintenance policy; failure interaction
URI
http://oasis.postech.ac.kr/handle/2014.oak/41132
DOI
10.1080/00207721.2013.807386
ISSN
0020-7721
Article Type
Article
Citation
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, vol. 46, no. 6, page. 1051 - 1064, 2015-04
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