Abstract
Modern science constantly improves approaches and methods of formalization of certain regularities using the latest achievements in mathematics, computer science and other exact Sciences. The methodological basis for research and modeling of systems is often considered to be the theory and practice of mathematical modeling. In the classical system approach, as a rule, system modeling is based on the use of similarity theories and scientific experiment, as well as mathematical statistics, algorithm theory, and a number of other fundamental classical theories. However, focusing only on mathematical modeling ignores the system nature of objects and their models, and also complicates the formalization of the problem, its translation from the verbal form of description to the formal one. The need to understand the relationships between the elements of the system, its structure and functions, combined with the description of system patterns, led to the development of system modeling, which aims not only to gain knowledge about the system, but also to optimize it.
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