Algorithm for Determining the Optimal Weights for the Akushsky Core Function with an Approximate Rank
In this paper, a study is carried out related to improving the reliability and fault tolerance of Fog Computing systems. This work is a continuation of previous studies. In the past, we have developed a method of fast operation for determining the sign of a number in the Residue Number System based...
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ir-20.500.12258-258052023-11-16T09:25:36Z Algorithm for Determining the Optimal Weights for the Akushsky Core Function with an Approximate Rank Shiriaev, E. M. Ширяев, Е. М. Kucherov, N. N. Кучеров, Н. Н. Babenko, M. G. Бабенко, М. Г. Lutsenko, V. V. Луценко, В. В. Akushsky core function Residue number system (RNS) Chinese remainder theorem Fog computing Monte Carlo method In this paper, a study is carried out related to improving the reliability and fault tolerance of Fog Computing systems. This work is a continuation of previous studies. In the past, we have developed a method of fast operation for determining the sign of a number in the Residue Number System based on the Akushsky Core Function. We managed to increase the efficiency of calculations by using the approximate rank of a number. However, this result is not final. In this paper, we consider in detail the methods and techniques of the Akushsky Core Function. During research, it was found that the so-called weights can be equal to random variables. Based on the data obtained, we have developed a method for determining the optimal weights for the Akushsky Core Function. The result obtained allows you to obtain a performance advantage due to the preliminary identification of optimal weights for each set of moduli. 2023-11-16T09:23:59Z 2023-11-16T09:23:59Z 2023 Статья Shiriaev, E., Kucherov, N., Babenko, M., Lutsenko, V., Al-Galda, S. Algorithm for Determining the Optimal Weights for the Akushsky Core Function with an Approximate Rank // Applied Sciences (Switzerland). - 2023. - 13 (18). - статья № 10495. - DOI: 10.3390/app131810495 http://hdl.handle.net/20.500.12258/25805 en Applied Sciences (Switzerland) application/pdf application/pdf |
| institution |
СКФУ |
| collection |
Репозиторий |
| language |
English |
| topic |
Akushsky core function Residue number system (RNS) Chinese remainder theorem Fog computing Monte Carlo method |
| spellingShingle |
Akushsky core function Residue number system (RNS) Chinese remainder theorem Fog computing Monte Carlo method Shiriaev, E. M. Ширяев, Е. М. Kucherov, N. N. Кучеров, Н. Н. Babenko, M. G. Бабенко, М. Г. Lutsenko, V. V. Луценко, В. В. Algorithm for Determining the Optimal Weights for the Akushsky Core Function with an Approximate Rank |
| description |
In this paper, a study is carried out related to improving the reliability and fault tolerance of Fog Computing systems. This work is a continuation of previous studies. In the past, we have developed a method of fast operation for determining the sign of a number in the Residue Number System based on the Akushsky Core Function. We managed to increase the efficiency of calculations by using the approximate rank of a number. However, this result is not final. In this paper, we consider in detail the methods and techniques of the Akushsky Core Function. During research, it was found that the so-called weights can be equal to random variables. Based on the data obtained, we have developed a method for determining the optimal weights for the Akushsky Core Function. The result obtained allows you to obtain a performance advantage due to the preliminary identification of optimal weights for each set of moduli. |
| format |
Статья |
| author |
Shiriaev, E. M. Ширяев, Е. М. Kucherov, N. N. Кучеров, Н. Н. Babenko, M. G. Бабенко, М. Г. Lutsenko, V. V. Луценко, В. В. |
| author_facet |
Shiriaev, E. M. Ширяев, Е. М. Kucherov, N. N. Кучеров, Н. Н. Babenko, M. G. Бабенко, М. Г. Lutsenko, V. V. Луценко, В. В. |
| author_sort |
Shiriaev, E. M. |
| title |
Algorithm for Determining the Optimal Weights for the Akushsky Core Function with an Approximate Rank |
| title_short |
Algorithm for Determining the Optimal Weights for the Akushsky Core Function with an Approximate Rank |
| title_full |
Algorithm for Determining the Optimal Weights for the Akushsky Core Function with an Approximate Rank |
| title_fullStr |
Algorithm for Determining the Optimal Weights for the Akushsky Core Function with an Approximate Rank |
| title_full_unstemmed |
Algorithm for Determining the Optimal Weights for the Akushsky Core Function with an Approximate Rank |
| title_sort |
algorithm for determining the optimal weights for the akushsky core function with an approximate rank |
| publishDate |
2023 |
| url |
https://dspace.ncfu.ru/handle/20.500.12258/25805 |
| work_keys_str_mv |
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