Algorithm for Determining the Optimal Weights for the Akushsky Core Function with an Approximate Rank-Reference-Cited by-同舟云学术

Algorithm for Determining the Optimal Weights for the Akushsky Core Function with an Approximate Rank

Published:2023-09-20 Issue:18 Volume:13 Page:10495
ISSN:2076-3417
Container-title:Applied Sciences
language:en
Short-container-title:Applied Sciences

Author:

Shiriaev Egor¹^ORCID,Kucherov Nikolay¹^ORCID,Babenko Mikhail¹²^ORCID,Lutsenko Vladislav³,Al-Galda Safwat⁴

Affiliation:

1. Faculty of Mathematics and Computer Sciences Named after Prof. Nikolay Chervyakov, North-Caucasus Federal University, 355017 Stavropol, Russia

2. Control/Management and Applied Mathematics, Ivannikov Institute for System Programming, 109004 Moscow, Russia

3. North Caucasus Center for Mathematical Research, North-Caucasus Federal University, 355017 Stavropol, Russia

4. Mathematics Department, Faculty of Education, University of Misan, Amarah 62001, Maysan, Iraq

Abstract

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.

Funder

Ministry of Education and Science of the Russian Federation

Publisher

MDPI AG

Subject

Fluid Flow and Transfer Processes,Computer Science Applications,Process Chemistry and Technology,General Engineering,Instrumentation,General Materials Science

Link

https://www.mdpi.com/2076-3417/13/18/10495/pdf

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