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Mathematical Model of Integration of Cyber-Physical Systems for Solving Problems of Increasing the Competitiveness of the Regions of the Russian Federation

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Society 5.0: Cyberspace for Advanced Human-Centered Society

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 333))

Abstract

A mathematical approach to the creation of an integrated mathematical model of the socio-economic system for the study of various aspects of the development of the competitiveness of the region on the basis of the principles of building cyber-physical systems is proposed. For this, a modification of the Kolmogorov-Chapman equations has been developed, which allows one to describe the integration of enterprises into clusters and use fragmentary data on the state of indicators of the structures under study. A graph of cause-and-effect relationships of dangerous combinations of events is created. The results of model approbation are carried out. An example of numerical modeling is given, showing a high probability of timely response to the occurrence of elementary events included in the minimum sections of the graph. The results of the work are intended for use in the development of mathematical models of advising systems for monitoring and countering the violation of the sustainable functioning of an enterprise using modern mathematical models and information technologies.

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Acknowledgements

This research was partially supported by the Russian Fund of Basic Research (grant No. 20-010-00465).

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Authors and Affiliations

  1. Peter the Great St.Petersburg Polytechnic University, 29, Polytechnicheskaya, St. Petersburg, 195251, Russia

    Alexander Bolshakov

  2. Saratov National Research University Named After N.G. Chernyshevsky, 83, Astrakhanskaya Street, Saratov, 410012, Russia

    Irina Veshneva & Dmitry Lushin

Authors
  1. Alexander Bolshakov
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  2. Irina Veshneva
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  3. Dmitry Lushin
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Corresponding author

Correspondence to Alexander Bolshakov .

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Editors and Affiliations

  1. Volgograd State Technical University, Volgograd, Russia

    Alla G. Kravets

  2. Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia

    Alexander A. Bolshakov

  3. Volgograd State Technical University, Volgograd, Russia

    Maxim Shcherbakov

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Bolshakov, A., Veshneva, I., Lushin, D. (2021). Mathematical Model of Integration of Cyber-Physical Systems for Solving Problems of Increasing the Competitiveness of the Regions of the Russian Federation. In: Kravets, A.G., Bolshakov, A.A., Shcherbakov, M. (eds) Society 5.0: Cyberspace for Advanced Human-Centered Society. Studies in Systems, Decision and Control, vol 333. Springer, Cham. https://doi.org/10.1007/978-3-030-63563-3_11

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  • DOI: https://doi.org/10.1007/978-3-030-63563-3_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-63562-6

  • Online ISBN: 978-3-030-63563-3

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