Georgian Scientists/ . 6  N 2, 2024 79

Georgian Scientists

Vol. 6  Issue 2, 2024

https://doi.org/10.52340/gs.2024.06.02.10

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Georgian Scientists/ . 6 N 2, 2024 86

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Falconer, Kenneth. (2003). Fractal Geometry: Mathematical Foundations and Applications. : John

Wiley & Sons. From ISBN 978-0-470-84862-3.
Liu, Jing Z.; Zhang, Lu D.; Yue, Guang H. (2003). "Fractal Dimension in Human Cerebellum Measured by

Magnetic Resonance Imaging". Biophysical Journal., 85 (6): 4041–4046.6. From Bibcode:2003BpJ.85.4041L.
doi:10.1016/S0006-3495(03)74817-6. PMC 1303704. PMID 14

A rational approach to the study of fractals and the effectiveness of systematic analysis
for the functioning of flow management

Gedevan Murjikneli

Doctoral student. Georgian Technical University. Doctoral Program in Digital Telecommunication
Technologies. orcid-0009-0008-1855-2571

Abstract:

The paper discusses the issues and processes of fractal research, for the analysis of its further
management development. Recommendations are given that focus on the main aspects of the fractal
model  of  functioning.  The  ways  of  rational  decision-making  are  studied,  where  the  influence  of
environmental factors is emphasized, with the area of determining their negative (violation) and
supporting effects.  The point characteristics of fractals are analyzed in order to determine how they
can cope with unforeseen expected "threats" or rationally use possible "benefits". To conduct such an
analysis, the paper considers a wide group of environmental factors, where each of them separately
includes relevant points that affect any type of activity differently - fractal layers and component points
represent the internal characteristics of transmission.

The paper focuses on one of the areas of improvement of the fractal management structure. In
particular, on filling the existing linear-functional management structure with a target group, in terms
of  obtaining  a  final  positive  result.  The  corresponding  functioning  mechanism  of  such  a  structural
scheme and the basic version of their mathematical model are given. The possibility of creating a group
of target fractals to avoid the problem and the mathematical model of such a structure and its



Georgian Scientists/ . 6 N 2, 2024 87

mechanism of action are discussed and achieved. It is noted that the crisis/contingency situation is not
a separate independent problem, it is one of the slightly more complex features of the operation. Its
sophistication is primarily expressed in the possible combinations of internal or external factors of the
cause of the problem and the complexity of the analysis. Second, eliminating the problem created by
side  effects  is  a  certain  subgoal  of  the  main  goal.  Its  regulation  and transfer  should  be  purposefully
implemented: by middle-level management; The entire process of management should be carried out
by  the  forces  associated  with  the  purpose  of  transmission;  created  by  the  problematic  target  group-
which would be a rational approach to a systematic analysis of the situation. With this approach, the
goal of point calculation of fractals is decided.

keywords: the situation, systemic, regulation, rational, fractal, Dotted.