A HYBRID APPROACH TO THE OPTIMAL AERONAUTICAL ENGINEERING MAINTENANCE PERIODICITY DETERMINATION
Journal Title: Вісник Національного Авіаційного Університету - Year 2017, Vol 72, Issue 3
Abstract
Purpose: The goal of this research is to investigate the possibility of the objectively existing aeronautical engineering maintenance optimal periodicity determination in the different from the entirely probabilistic methods way. In this paper there is a scientifically proven explanation for the mentioned above periodicity optimization with the help of specially introduced hybrid optional-probabilistic approach functions distributions. Methods: The described hybrid approach proposes to combine the probabilistic method, applied up to effectiveness functions determination, with following compilation a variational-optional functional, as well as consider functioning of an aeronautical engineering system, with possible degrading failures and restorations from the damaged into upstate, on the multi-optional basis. Results: It allows obtaining the wanted optimal periodicities sidestepping the related states probabilities determination and their further extremization. The optional objective effectiveness functions in such a case are the roots of the characteristic equation for the corresponding states probabilities Erlang differential equations system, which relates with the set of the considered operational options. Discussion: The revolutionary points here are in the methods bringing the described results. The methods are also applicable to the roots for the Laplace transformations matrix parameter. The preliminary considered case discussed in the previous paper happened to be a particular case of the presented research which means a step of generalization and evolution of entropy extremization principles. The conducted computer simulation proves that the roots are the self-measured special hybrid optional-probabilistic functions.
Authors and Affiliations
Andriy Goncharenko
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