## The object of applied modeling theory.

The object of the developed applied theory is directly the process of modeling the behavior of the system 5, that is, the process of transition from the modeled object (system 5) first to the static model 5 used for strategic identification, and then to the dynamic model of the directly used operational management using methods and algorithms CS. This is guided by the criterial system * K. * Such a transition is carried out through a description (a conceptual model) that fixes information about the object * S * in terms of the language * L * (terms typical mathematical schemes) [41, 54]. When choosing the mathematical simulation scheme * M *, the notion of the environment S is introduced, which allows using information of an applied nature * J * about the purposes of modeling, the laws of the functioning of the system S, the available mathematical apparatus, etc. for the study of methods and algorithms for managing the system * A. *

Thus, since the object of this applied modeling theory is the modeling process, it becomes necessary to build and study the "model models" or the RM model (reproduce, reproduce, make a copy , generate). Repropromodel is a simplified and intuitive prototype of the models being created used in SU, and makes it possible to effectively approximate such models with the maximum use of a priori and operational information about the behavior of the system 5 that comes in the process of its function-

** Fig. 9.1. The scheme for developing the model of the system S **

Onions. To solve the task of developing a model for SS, the scheme of the repropromodel is shown in Fig. 9.1. After the conceptual model C has been formulated and the concepts of the components of the media 5 have been introduced, the main content of the elements of the applied modeling theory for the control of the system will be the components A /, * A _{ y } * 5® and/the criterion

*K*is assumed to be given), and the transition from A/to S, following the terminology [29, 53], will constitute the statics of modeling, and the transition from

*M*to the set

*with the involvement of information from the components*

*Я and Л*will make the dynamics of modeling. This division into static and dynamics is conventionally shown in Fig. 9.1 by the dashed and solid lines, respectively.

Motion in the space of static models of the process of functioning of the system will be called * evolution * (or evolutionary modeling), and movement in the space of dynamic (active) models * r < self-organization (or modeling with self-organization). It is important to note that the components of the object of the theory are of artificial origin, based on heuristic representations, and can, if necessary, change (develop) in the interests of the applied theory itself. This essentially distinguishes applied modeling theory from natural theories. *

## The subject of applied modeling theory.

The statements that make up any theory are formed with respect to the subject of the theory, namely, a system of concepts that reflect the object of the theory (repo-model) with varying degrees of generalization. Thus, assigning an object to the applied theory of modeling processes in system 5 is equivalent to specifying the reproductions. Obviously, in general, different aspects of the theory should correspond to different types of re-models. As applied to SS, we narrow the range of these aspects by concretizing the modeling goals by introducing into the repo model the components * A y * limited by methods and algorithms of operational control. The construction of the re-model according to the scheme shown in Fig. 9.1 allows us to use both general information about modeling and control processes/and specific information on methods and algorithms for managing the system, taking into account the selected criteria for assessing the effectiveness of * K. *

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