Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Petrov D. Y. Assessment of the protection level of continuous production based on the Markov life cycle model. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2022, vol. 22, iss. 3, pp. 393-400. DOI: 10.18500/1816-9791-2022-22-3-393-400, EDN: CAEBYC

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
31.08.2022
Full text:
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English
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Article type: 
Article
UDC: 
681.382:666.1.013
EDN: 
CAEBYC

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

Autors: 
Petrov Dmitry Yurievich, Institute of Precision Mechanics and Control, Russian Academy of Sciences (IPTMU RAS)
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.

Acknowledgments: 
The work was carried out at IPTMU RAS according to state order No. 075-00622-21-00, state registration number No. 121022600201-7.
References: 
  1. Kagermann H., Lukas W.-D., Wahlster W. Industrie 4.0: Mit dem Internet der Dinge auf dem Weg zur 4. Industriellen Revolution. VDI Nachrichten, 2011, Nr. 13. Available at: http://www.vdi-nachrichten.com/Technik-Gesellschaft/Industrie-40-Mit-Internet-Dinge-Weg-4-industriellen-Revolution (accessed 22 January 2021).
  2. Stauffer T., Sands N. P., Strobhar D. Plug the holes in the Swiss cheese model. AIChE 2017 Spring Meeting and 13th Global Congress on Process Safety, San Antonio, TX, Mar. 26–29, 2017. Available at: https://www.aiche.org/resources/publications/cep/2017/september/plug-holes-swiss-cheese-model (accessed 22 January 2021).
  3. Mozhaev A. S., Nozik A. A., Strukov A. V. Reliability assessment for three-state element systems using ARBITER software. SPIIRAS Proceedings, 2013, iss. 31, pp. 123–146 (in Russian). https://doi.org/10.15622/sp.31.7
  4. Bizubac D., Popa M. S., H´ormann B. O., Faur A. S. Research of industrial processes in automation. Acta Technica Napocensis. Series: Applied Mathematics, Mechanics, and Engineering, 2018, vol. 61, iss. 2, pp. 253–260. Available at: https://atna-mam.utcluj.ro/index.php/Acta/article/view/990/918 (accessed 12 March 2021).
  5. Afanasyevsky L. B., Gorin A. N., Onufrienko V. V., Fadin A. G. Methods of analytical and simulation modeling of discrete homogeneous Markov chains using MathCAD. Modern Information Technologies and IT-education, 2013, no. 9, pp. 456–462 (in Russian). EDN: TJTSVD
Received: 
29.11.2021
Accepted: 
15.04.2022
Published: 
31.08.2022