Article 2221

Title of the article

ON THE PROBLEM OF SYNTHESIS OF CONTROLLED RELIABILITY MODELS AND SECURITY UNDER RESTRICTIONS ON MANAGEMENT STRATEGIES 

Authors

Viktor A. Kashtanov, Doctor of physical and mathematical sciences, professor, National Research University "Higher School of Economics" (20 Myasnitskaya street, Moscow, Russia), E-mail: vakashtanov@hse.ru
Ol'ga B. Zaytseva, Candidate of physical and mathematical sciences, associate professor, associate professor of sub-department of probability theory, Moscow Aviation Institute (National Research University) (4 Volokolamskoe highway, Moscow, Russia), E-mail: o_zaiceva@mail.ru

Index UDK

519.87 

DOI

10.21685/2307-4205-2021-2-2 

Abstract

Background. The paper investigates controlled models of reliability and safety under constraints on control strategies. Materials and methods. The mathematical problem is reduced to the search for the extremum of the linear-fractional functional characterizing the quality of the system's functioning and the quality of control over the set of distribution functions that determine the frequency of planned restoration work. Results and conclusions. The peculiarities of the problem statement are that there are restrictions on distributions expressed by restrictions on linear functionals, but the number of such restrictions is uncountable. When solving the problem, the main attention is paid to the analysis of the structure of the distribution function at which the desired extremum is reached. 

Key words

controlled semi-Markov process, control strategy, linear-fractional functional, optimization problem 

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Дата создания: 23.09.2021 10:46
Дата обновления: 23.09.2021 11:05