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On a single discrete scale for preventive maintenance with two shock processes affecting a complex system
Author(s) -
Finkelstein Maxim,
Gertsbakh Ilya,
Vaisman Radislav
Publication year - 2016
Publication title -
applied stochastic models in business and industry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.413
H-Index - 40
eISSN - 1526-4025
pISSN - 1524-1904
DOI - 10.1002/asmb.2218
Subject(s) - preventive maintenance , bivariate analysis , univariate , shock (circulatory) , signature (topology) , scale (ratio) , computer science , process (computing) , operations research , mathematical optimization , econometrics , reliability engineering , multivariate statistics , mathematics , engineering , machine learning , medicine , physics , geometry , quantum mechanics , operating system
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.