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Optimal minimal maintenance of deteriorating system subject to exponential failures with maintenance and repair of general distributions

Optimal minimal maintenance of deteriorating system subject to exponential failures with... The article presents a model of multistage degraded system subject to minimal maintenance, random failures and partial repairs. Constant state dependent transition rates for the degradation failure processes are considered while the minimal maintenance and the partial repairs follow general distributions with square of coefficient of variation less than or equal to one and state dependent which are more realistic and can be modelled by hypoexponential or Erlang distributions to use the Markovian property. The objective of the article is to calculate the steady state availability of the system, and the optimal mean time to minimal maintenance maximising the availability in case of state independent Erlang and deterministic distributions. This article extends previous results that can be considered as particular cases of this one. Numerical examples are provided to illustrate applicability of the expressions that are obtained throughout the article. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Information and Decision Sciences Inderscience Publishers

Optimal minimal maintenance of deteriorating system subject to exponential failures with maintenance and repair of general distributions

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Publisher
Inderscience Publishers
Copyright
Copyright © Inderscience Enterprises Ltd. All rights reserved
ISSN
1756-7017
eISSN
1756-7025
DOI
10.1504/IJIDS.2008.020052
Publisher site
See Article on Publisher Site

Abstract

The article presents a model of multistage degraded system subject to minimal maintenance, random failures and partial repairs. Constant state dependent transition rates for the degradation failure processes are considered while the minimal maintenance and the partial repairs follow general distributions with square of coefficient of variation less than or equal to one and state dependent which are more realistic and can be modelled by hypoexponential or Erlang distributions to use the Markovian property. The objective of the article is to calculate the steady state availability of the system, and the optimal mean time to minimal maintenance maximising the availability in case of state independent Erlang and deterministic distributions. This article extends previous results that can be considered as particular cases of this one. Numerical examples are provided to illustrate applicability of the expressions that are obtained throughout the article.

Journal

International Journal of Information and Decision SciencesInderscience Publishers

Published: Jan 1, 2008

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