On a single discrete scale for preventive maintenance with two shock processes affecting a complex system |
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| Authors: | Maxim Finkelstein Ilya Gertsbakh Radislav Vaisman |
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| Affiliation: | 1. Department of Mathematics, Ben‐Gurion University, Beersheva, Israel;2. ITMO University, Saint Petersburg, Russia;3. School of Mathematics and Physics, University of Queensland, Brisbane, Australia |
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| Abstract: | A new approach to optimal maintenance of systems (networks) is suggested. It is applied to systems subject to two external independent shock processes. A system ‘consists’ of two parts, and each shock process affects only its own part. A new notion of bivariate signature is suggested and used for obtaining survival characteristics of a system and further optimization of the preventive maintenance actions. The preventive maintenance optimization is considered in the univariate discrete scale that counts the overall numbers of shocks of both types. An example of a transportation network is considered. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | shock process network signature preventive maintenance |
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