Mathematical Tools for Definition of Technical Service Optimal Stages of Machine-Building Complex Technical Systems

Shayakhmetov V.V.

Abstract


In the research of mathematical models of the technical systems exploitation a criterion problem is the determination of required and sufficient conditions of the optimum period existence of the technical maintenance and the number of its stages. It is shown that under random distribution of initial random quantities based on use of semi-Markov processes and operational calculus, there exists an acceptable for practice software-mathematical toolbox.

Keywords


technical maintenance; technical system efficiency; optimal number of stages of technical maintenance; Markov process; Laplace-Stieltjes transform; minimum execution time of technical processes

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Copyright (c) 2010 Вениамин Вафич Шаяхметов

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ISSN 1813-7911