Modeling the parallelism of empirical models of optimal complexity using a Petri net
Journal Title: Восточно-Европейский журнал передовых технологий - Year 2019, Vol 3, Issue 4
Abstract
<p>Many physical processes and phenomena in view of their complexity cannot be described analytically. In these cases, empirical modeling is applied. In this research, the method based on the genetic approach is used to construct empirical models of optimal complexity that have the form of a polynomial of assigned power. Implementation of the developed method requires a multiple solution of the system of linear algebraic equations. Solution of the system of linear algebraic equations is found by reducing the corresponding matrix to the upper diagonal form with unities on the main diagonal. Analysis of the algorithm showed that the procedure of reducing the matrix to the upper diagonal form has internal parallelism. Based on the created model of the computational process in the form of a Petri net, the strategy of construction of the parallel algorithm for solving the system of linear algebraic equations was developed. The essence of the strategy is that computations are performed on some parallel processors. One of them was assigned coordinating functions, and it was named master. Other processors – slaves are subordinated to the master. Division of computation volume is such that the number of rows of the matrix, which master operates is at least by unity more than the corresponding number of rows allocated to the servant. The effectiveness of the parallel algorithm for the proposed strategy was evaluated based of the criterion of the total number of arithmetic operations. The proposed strategy is an integral part of the process of synthesis of the empirical model of optimal complexity based on the genetic algorithms. Distribution of computational load between processors working in parallel (master and slaves) ensures the acceleration of the computational process by five times or more.</p>
Authors and Affiliations
Mikhail Gorbiychuk, Olga Bila, Taras Humeniuk
Keywords
Related Articles
- EP ID EP666404
- DOI 10.15587/1729-4061.2019.171632
- Views 72
- Downloads 0
Current distribution of 137cs in sod-podzolic soils of different types of forest conditions
We have examined the current distribution of <sup>137</sup>Cs in the turf-podzolic forest soils for different types of forest conditions. The analysis of the redistribution of <sup>137</sup>Cs in soil in 30 years after t...
Studying the authenticity of the golden element from a mongolian warrior's armor by physicalchemical methods
<p>We report results from an expert study into the historical artifact of the XIV–XV centuries ‒ the golden armor element of a Mongol warrior. The obtained results allowed us to establish signs of authenticity in the his...
Universal multifunctional device for heat and mass exchange processes during organic raw material processing
<p>The proposed innovative design solution of universal multifunctional device ensures implementation of the maximum number of heat exchange processes. They are: aging, drying, blanching, boiling, boiling soft, infusion,...
Cryoscopic and microbiological study of the semifinished product for making a smoothie drink
<p class="a">The dynamics of freezing a semi-finished product for making a smoothie drink was investigated. We have chosen, as the subject of present study, a semi-finished product whose production technology included st...
Research into techniques for making wheat bread on hop leaven
<p>We investigated saccharification process of bitter scaldings depending on the parameters of their preparation and established that the largest intensity of sugar accumulation occurs within one hour of saccharification...