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

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  • Maxim Finkelstein
  • Ilya Gertsbakh
  • Radislav Vaisman

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.

Suggested Citation

  • Maxim Finkelstein & Ilya Gertsbakh & Radislav Vaisman, 2017. "On a single discrete scale for preventive maintenance with two shock processes affecting a complex system," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 33(1), pages 54-62, January.
    • Handle: RePEc:wly:apsmbi:v:33:y:2017:i:1:p:54-62
    DOI: 10.1002/asmb.2218
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    Cited by:

    1. Vaisman, Radislav & Sun, Yuting, 2021. "Reliability and importance measure analysis of networks with shared risk link groups," Reliability Engineering and System Safety, Elsevier, vol. 211(C).

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