Mathematical Models of the Processes of Operation, Renewal and Degradation of a Fleet of Complex Technical Systems with Metrological Support-Reference-Cited by-同舟云学术

Mathematical Models of the Processes of Operation, Renewal and Degradation of a Fleet of Complex Technical Systems with Metrological Support

Published:2023-03-15 Issue:3 Volume:12 Page:300
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Khayrullin Rustam¹²^ORCID,Ershov Denis²³,Malahov Alexander²³,Levina Tatyana³

Affiliation:

1. Department of “Fundamental Education”, Mytishchy Branch of University, Moscow State University of Civil Engineering, 26, Yaroslavskoye Shosse, 129337 Moscow, Russia

2. Metrology Scientific Head Center, 13 Komarova Street, Moscow Region, 141000 Mytischy, Russia

3. Department of “Standartizaion, Engineering Faculty, Moscow Polytechnic University, Metrology and Sertification”, 38, Bolshaya Semenovskaya Street, 107023 Moscow, Russia

Abstract

(1) Background: The aim of the study is to develop a set of models for managing a fleet of complex technical systems with metrological support, allowing the simulation and management at all the stages of the life cycle of the complex technical systems, as well as to simulate the functioning of large fleets of complex technical systems, including up to several hundred thousand samples; (2) Methods: The authors use methods of mathematical modeling, methods of the theory of Markov and semi-Markov processes, methods of optimization, methods of reliability theory, and methods of probability theory and mathematical statistics; (3) Results: an interconnected set of mathematical models for managing a fleet of complex technical systems with metrological support was developed and the applied software was developed; (4) Conclusions: The set of models presented in the article allows for the adequate simulation of all the stages of the life cycle of large complex technical systems fleets, including up to several hundreds of thousands of samples, to optimize the functioning processes of a fleet of complex technical systems, to form strategies for fleet development, and to assess the risks associated with false and undetected failures, as well as the risks associated with the degradation of complex technical systems.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/3/300/pdf

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