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Synthesis of Recovery Schemes for Distributed Computing Based on Ideal Ring Bundles

Riznyk O., Vynnychuk R.

ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes

2019

Vol. 8, No 1

33--38

Clusters and distributed systems allow for error tolerance and high performance through shared use of the load. When all computers work, we would like to distribute the load equally among computers. When one or more computers are broken, the load on these computers should be redistributed to other computers in the cluster. Redistribution determines the recovery scheme. The recovery plan should keep the load as optimal as when even the most unfavorable combinations of computers are turned off, that is, we want to optimize the behavior of the worst case. In this work, we find new regeneration schemes based on so-called IRB and ideal ring loops and synthesize the corresponding combinatorial structures. They are optimal for many cases of recovery schemes.

The Use of Combinatorial Methods for Sound Scanning of Objects

Tsmot I., Riznyk O., Rabyk V.

ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes

2018

Vol. 7, No 3

59--62

In article considers application of combinatorial methods for research of sound images scan by the medium of integer sequences – ideal ring bundles as comfortable mathematical models for synthesis and optimization of systems with non-uniform structure. By using combinatorial approaches quality of methods based on the passage of sound signals through the tissues can be significantly improved. Studies show that the use of integer sequences based on the ideal ring bundles in information conversion tasks ensures simplicity of hardware application.