Volume 33, Issue 1 pp. 54-62
Research Article

On a single discrete scale for preventive maintenance with two shock processes affecting a complex system

Maxim Finkelstein

Corresponding Author

Maxim Finkelstein

Department of Mathematics, Ben-Gurion University, Beersheva, Israel

ITMO University, 49 Kronverkskiy pr., Saint Petersburg, 197101 Russia

Correspondence to: Maxim Finkelstein, Department of Mathematical Statistics, University of the Free State, 339, Bloemfontein 9300, South Africa.

[email protected]

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Ilya Gertsbakh

Ilya Gertsbakh

Department of Mathematics, Ben-Gurion University, Beersheva, Israel

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Radislav Vaisman

Radislav Vaisman

School of Mathematics and Physics, University of Queensland, Brisbane, Australia

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First published: 28 November 2016
Citations: 7

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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