CASPIAN JOURNAL

MANAGEMENT AND HIGH TECHNOLOGIES

CONSTRUCTION OF MATHEMATICAL MODELS BASED ON STATUS FUNCTIONS FOR THE DEVELOPMENT OF DIGITAL TWINS OF SOCIO-ECONOMIC SYSTEMS

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Veshneva Irina V., Bolshakov Alexander A. CONSTRUCTION OF MATHEMATICAL MODELS BASED ON STATUS FUNCTIONS FOR THE DEVELOPMENT OF DIGITAL TWINS OF SOCIO-ECONOMIC SYSTEMS // Caspian journal : management and high technologies. — 2021. — №2. — pp. 31-39.

Veshneva Irina V. - N.G. Chernyshevsky Saratov National Research University, veshnevaiv@gmail.ru

Bolshakov Alexander A. - Peter the Great Saint Petersburg Polytechnic University, aabolshakov57@gmail.ru

To develop complex mathematical models of digital twins of socio-economic systems, it is proposed to apply the mathematical apparatus of the so-called status functions. The corresponding formulation of the problem of constructing new mathematical models for assessing the state of socio-economic complexes has been formulated. It is shown that the process of integrating digital twins into a classical control system is traditionally associated with the implementation of monitoring, analysis and control functions. Trends in the formation of digital twins for use in socio-economic structures are described. A generalized scheme of mathematical modeling based on the use of effective numerical methods and a complex of problem-oriented programs for evaluating communications in an integrated environment of cyber-physical systems based on status functions is proposed. An example of the implementation of the stage of the proposed concept associated with the construction of a complex of problem-oriented programs is considered.

Key words: mathematical models, digital twins, socio-economic structures, status functions, cyber-physical systems