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Preventive maintenance of multistate systems subject to shocks

Maxim Finkelstein and Ilya Gertsbakh

Applied Stochastic Models in Business and Industry, 2016, vol. 32, issue 2, 283-291

Abstract: A new approach to optimal maintenance of multistate systems (networks) with binary components is developed. Univariate and multivariate signatures are used for description of system's structure and for efficient dealing with corresponding optimal maintenance problems. A system is subject to a shock process. Each shock destroys in a random way one of the operating components. The first strategy is to perform the preventive maintenance after the system enters one of the intermediate states between the initial UP state and the final absorbing DOWN state. The second strategy is to carry out preventive maintenance after the system experiences k shocks. Some illustrations and numerical results are presented. Copyright © 2015 John Wiley & Sons, Ltd.

Date: 2016
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Citations: View citations in EconPapers (12)

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https://doi.org/10.1002/asmb.2151

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