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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2022, Volume 22, Issue 3, Pages 393–400
DOI: https://doi.org/10.18500/1816-9791-2022-22-3-393-400
(Mi isu951)
 

Scientific Part
Computer Sciences

Assessment of the protection level of continuous production based on the Markov life cycle model

D. Yu. Petrovab

a Institute for Precision Mechanics and Control of the Russian Academy of Sciences (IPTMU RAS), 24 Rabochaya St., Saratov 410028, Russia
b Saratov State University, 83 Astrakhanskaya St., Saratov 410012, Russia
References:
Abstract: The article discusses the current level of development of automation technologies for continuous production, taking into account the compliance with the requirements of the fourth industrial revolution Industry 4.0. A new classification of the levels of industrial safety of production processes is proposed, taking into account the stages of the plan for the localization and elimination of emergency situations. The states of the life cycle of continuous production are determined, taking into account the proposed classification. A mathematical model of the states of the life cycle of continuous production has been developed and their interrelations have been determined. Based on the analysis of the statistical data on the states of the life cycle of flat glass production, the probabilities of transitions between the states of the production life cycle are determined. As a result of the statistical analysis of the probabilities of state transitions for the production of sheet glass, it became possible to use the apparatus of Markov processes. The use of the apparatus of Markov processes made it possible to assess the probabilities of finding continuous production in each state of the life cycle. The MathCAD software package computed the probabilities for each state of the life cycle of sheet glass production. To determine the probabilities of life cycle states in the MathCAD software package, simulation modeling has been performed. The comparison of the results of calculating the probabilities of the states of the life cycle of production, obtained by the method of simulation and analytical calculation, has been carried out. The values of the calculated probabilities of the state of the life cycle of continuous production make it possible to use the "Arbiter" software package for the analysis of durability, survivability, safety, technical risk, expected damage and production efficiency.
Key words: protection level, continuous production, Markov model, life cycle, simulation.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-00622-21-00
The work was carried out at IPTMU RAS according to state order No. 075-00622-21-00, state registration number No. 121022600201-7.
Received: 29.11.2021
Accepted: 15.04.2022
Bibliographic databases:
Document Type: Article
UDC: 681.382:666.1.013
Language: English
Citation: D. Yu. Petrov, “Assessment of the protection level of continuous production based on the Markov life cycle model”, Izv. Saratov Univ. Math. Mech. Inform., 22:3 (2022), 393–400
Citation in format AMSBIB
\Bibitem{Pet22}
\by D.~Yu.~Petrov
\paper Assessment of the protection level of continuous production based on the Markov life cycle model
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2022
\vol 22
\issue 3
\pages 393--400
\mathnet{http://mi.mathnet.ru/isu951}
\crossref{https://doi.org/10.18500/1816-9791-2022-22-3-393-400}
\edn{https://elibrary.ru/CAEBYC}
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