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JOURNALS // Computational nanotechnology // Archive

Comp. nanotechnol., 2024 Volume 11, Issue 3, Pages 89–97 (Mi cn497)

MATHEMATICAL MODELING, NUMERICAL METHODS AND COMPLEX PROGRAMS

Application of the theory of Petri nets in the development of simulation models of business processes based on the IDEF3 methodology

D. A. Petrosov

Financial University under the Government of the Russian Federation

Abstract: In this study, we propose a model of an artificial neural network used as a specialized superstructure over a genetic algorithm, which allows influencing the process of finding solutions directly during the synthesis of solutions. Such a combination of methods will allow controlling the trajectory of the population in the solution space, which is especially important when working with big data processing technology, when stopping the solution search process due to the attenuation of the evolutionary procedure or finding the population in a local extremum requires stopping the genetic algorithm, performing additional adjustment of operators and restarting, the use of such an approach is ineffective, especially when working with big data and labor-intensive calculations. This article proposes a model of an artificial neural network that allows recognizing the state of the population of the genetic algorithm and making a decision to change the operating parameters of the genetic algorithm operators. The proposed model allows recognizing the processes of attenuation of the evolutionary procedure when solving the problem of structural and parametric synthesis of large discrete systems and determining measures of influence on the operating parameters of the genetic algorithm. This model recognizes the state of the population with an accuracy of more than 95%, which allows to significantly reduce the time for finding solutions in problems of applying a genetic algorithm to work with big data.

Keywords: structural-parametric synthesis, intelligent models, evolutionary procedures, mathematical modeling, genetic algorithms, artificial neural networks, COGAN approach.

UDC: 004.9

DOI: 10.33693/2313-223X-2024-11-3-89-97



© Steklov Math. Inst. of RAS, 2024