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  4. Research of distribution of information flows in a network

Research of distribution of information flows in a network

MMC.
2021;
Volume 8, Number 4
: pp. 821–829
https://doi.org/10.23939/mmc2021.04.821
Received: October 13, 2021
Revised: November 12, 2021
Accepted: November 19, 2021

Mathematical Modeling and Computing, Vol. 8, No. 4, pp. 821–829 (2021)

Authors:
  1. R. L. Politanskyi
  2. O. L. Zarytska
  3. M. V. Vistak
  4. V. V. Vlasenko
1
Yuriy Fedkovych Chernivtsi National University
2
Lviv Polytechnic National University
3
Danylo Halytsky Lviv National Medical University
4
Yuriy Fedkovych Chernivtsi National University

The algorithm for determining information flows in the network is developed and studied, taking into account restrictions on the input and output flows values in each node of the system.  The algorithm is based on the Gaussian method of solving linear equations systems in case when the rank of the equivalent system matrix, is less than the number of unknown variables in the system.  Using this algorithm, the capacities of sets of the integer solutions for networks with 2 nodes (flow intensity up to 200), 3 nodes (flow intensity up to 20) and 4 nodes (flow intensity up to 10) are calculated.

Gaussian method
the set of solutions of systems of linear equations
transport network
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