К установлению вида математической модели сложной системы

Abstract

RU: Показано, что для моделирования натурного эксперимента применяют вычислительный эксперимент, реализуемый на ЭВМ. Граница между гуманитарными и математическими методами проходит по имитационным методам моделирования.

EN: Most research in the field of technology, almost reduced to the synthesis of some specific mathematical models (MM), complex systems (SS), with further analysis. With all the positivity of this action, at times, it is observed insufficient–exactly true view of the adopted model. This probably is because the creation of the model are often attracted specialists variety of technologies that applied mathematics was taught to a limited extent. Incorrectly selected view model, often leads to a loss of cardinality obtained with the help of her results.

Given the fact that the mathematical modeling, for the most part, is aimed at solving optimization problems, which in the simplest terms, they can be represented by the classical applications of optimization, the formulation of most problems of modeling of technical systems, reduced to extreme challenges.

Because, MM, concentrates in the form of mathematical relationtions, the totality of our knowledge, ideas and hypotheses about the system being studied, so far all we create scientific constructions are approximate description of the language of mathematics studied SS. With this MM is always an abstraction, and the methods of mathematical sciences, which are based on the MM, are reduced, ultimately to operating formal and dialectical logic, the laws, which are the quintessence of human experience.

In drawing up the MM is permissible to use any mathematicaling funds — set theory, differential and integral value, mathematical logic, probability theory, kata stanzas, game theory, etc. As always MM scheme from which removed parts not essential for the purposes of modeling, the extent of the scheme, with the help of formal logic, it is possible to deduce consequences which transformed into claims regarding the properties of the simulated SS.

From this diagram it is evident that in the test method, MM can be split into analytic and simulation.

At present, there is a widespread simulation, which should be considered as an experiment with a mathematical model describing the behavior of the SS (see. Example [4–14]). Computational experiment is realized by a computer, so the simulated full–scale experiment. The boundary between the humanities and the mathematical methods passes through simulation modeling techniques.