On some methods for solving the problem of power distribution of data transmission channels taking into account fuzzy constraints on consumption volumes

Authors

DOI:

https://doi.org/10.20535/SRIT.2308-8893.2022.4.08

Keywords:

data transfer, power distribution, fuzzy constraints, optimal solution, backtracking algorithm

Abstract

The article deals with the mathematical formulation of the problem of optimal distribution of the power of data transmission channels in information and computer networks with a three-level architecture and fuzzy restrictions on consumption volumes. An efficient algorithm has been developed for solving the problem, the peculiarity of which is the inability to meet the end user’s needs at the expense of the resources of different suppliers. A standard solution method based on a fuzzy optimization problem of mathematical programming is considered. A constructive variant of finding a solution based on the backtracking method is proposed. Computational experiments have been carried out. The developed approach was used to determine the optimal configuration of a three-level information and computer network with a given number of communication servers.

Author Biographies

Eugene Ivokhin, Taras Shevchenko National University of Kyiv, Kyiv

Doctor of Physical and Mathematical Sciences, a professor at the Department of System Analysis and Decision Making Theory of Taras Shevchenko National University of Kyiv, Kyiv, Ukraine.

Larisa Adzhubey, Taras Shevchenko National University of Kyiv, Kyiv

Candidate of Physical and Mathematical Sciences (Ph.D.), an associate professor at the Department of Computational Mathematics of Taras Shevchenko National University of Kyiv, Kyiv, Ukraine.

Petro Vavryk, Taras Shevchenko National University of Kyiv, Kyiv

Student of the Department of System Analysis and Decision Making Theory of Taras Shevchenko National University of Kyiv, Kyiv, Ukraine.

Mykhailo Makhno, Taras Shevchenko National University of Kyiv, Kyiv

Candidate of Technical Sciences (Ph.D.), an assistant at the Department of System Analysis and Decision Making Theory of Taras Shevchenko National University of Kyiv, Kyiv, Ukraine.

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Published

2022-12-27

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Section

Methods of optimization, optimum control and theory of games