SOLVING ENGINEERING OPTIMIZATION PROBLEMS WITH THE SWARM INTELLIGENCE METHODS

An important stage in problem solving process for aerospace and aerostructures designing is calculating their main characteristics optimization. The results of the four constrained optimization problems related to the design of various technical systems: such as determining the best parameters of we...

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Main Authors: A. V. Panteleev, M. D. Evdokimova
Format: Article
Language:Russian
Published: Moscow State Technical University of Civil Aviation 2017-05-01
Series:Научный вестник МГТУ ГА
Subjects:
Online Access:https://avia.mstuca.ru/jour/article/view/1052
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author A. V. Panteleev
M. D. Evdokimova
author_facet A. V. Panteleev
M. D. Evdokimova
author_sort A. V. Panteleev
collection DOAJ
description An important stage in problem solving process for aerospace and aerostructures designing is calculating their main characteristics optimization. The results of the four constrained optimization problems related to the design of various technical systems: such as determining the best parameters of welded beams, pressure vessel, gear, spring are presented. The purpose of each task is to minimize the cost and weight of the construction. The object functions in optimization practical problem are nonlinear functions with a lot of variables and a complex layer surface indentations. That is why using classical approach for extremum seeking is not efficient. Here comes the necessity of using such methods of optimization that allow to find a near optimal solution in acceptable amount of time with the minimum waste of computer power. Such methods include the methods of Swarm Intelligence: spiral dynamics algorithm, stochastic diffusion search, hybrid seeker optimization algorithm. The Swarm Intelligence methods are designed in such a way that a swarm consisting of agents carries out the search for extremum. In search for the point of extremum, the particles exchange information and consider their experience as well as the experience of population leader and the neighbors in some area. To solve the listed problems there has been designed a program complex, which efficiency is illustrated by the solutions of four applied problems. Each of the considered applied optimization problems is solved with all the three chosen methods. The obtained numerical results can be compared with the ones found in a swarm with a particle method. The author gives recommendations on how to choose methods parameters and penalty function value, which consider inequality constraints.
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spelling doaj.art-726776d6b7694ecfabe6aab9afca446b2023-03-13T07:19:18ZrusMoscow State Technical University of Civil AviationНаучный вестник МГТУ ГА2079-06192542-01192017-05-012026151052SOLVING ENGINEERING OPTIMIZATION PROBLEMS WITH THE SWARM INTELLIGENCE METHODSA. V. Panteleev0M. D. Evdokimova1Московский авиационный институт (национальный исследовательский университет)Московский авиационный институт (национальный исследовательский университет)An important stage in problem solving process for aerospace and aerostructures designing is calculating their main characteristics optimization. The results of the four constrained optimization problems related to the design of various technical systems: such as determining the best parameters of welded beams, pressure vessel, gear, spring are presented. The purpose of each task is to minimize the cost and weight of the construction. The object functions in optimization practical problem are nonlinear functions with a lot of variables and a complex layer surface indentations. That is why using classical approach for extremum seeking is not efficient. Here comes the necessity of using such methods of optimization that allow to find a near optimal solution in acceptable amount of time with the minimum waste of computer power. Such methods include the methods of Swarm Intelligence: spiral dynamics algorithm, stochastic diffusion search, hybrid seeker optimization algorithm. The Swarm Intelligence methods are designed in such a way that a swarm consisting of agents carries out the search for extremum. In search for the point of extremum, the particles exchange information and consider their experience as well as the experience of population leader and the neighbors in some area. To solve the listed problems there has been designed a program complex, which efficiency is illustrated by the solutions of four applied problems. Each of the considered applied optimization problems is solved with all the three chosen methods. The obtained numerical results can be compared with the ones found in a swarm with a particle method. The author gives recommendations on how to choose methods parameters and penalty function value, which consider inequality constraints.https://avia.mstuca.ru/jour/article/view/1052методы оптимизацииглобальный экстремумштрафная функция
spellingShingle A. V. Panteleev
M. D. Evdokimova
SOLVING ENGINEERING OPTIMIZATION PROBLEMS WITH THE SWARM INTELLIGENCE METHODS
Научный вестник МГТУ ГА
методы оптимизации
глобальный экстремум
штрафная функция
title SOLVING ENGINEERING OPTIMIZATION PROBLEMS WITH THE SWARM INTELLIGENCE METHODS
title_full SOLVING ENGINEERING OPTIMIZATION PROBLEMS WITH THE SWARM INTELLIGENCE METHODS
title_fullStr SOLVING ENGINEERING OPTIMIZATION PROBLEMS WITH THE SWARM INTELLIGENCE METHODS
title_full_unstemmed SOLVING ENGINEERING OPTIMIZATION PROBLEMS WITH THE SWARM INTELLIGENCE METHODS
title_short SOLVING ENGINEERING OPTIMIZATION PROBLEMS WITH THE SWARM INTELLIGENCE METHODS
title_sort solving engineering optimization problems with the swarm intelligence methods
topic методы оптимизации
глобальный экстремум
штрафная функция
url https://avia.mstuca.ru/jour/article/view/1052
work_keys_str_mv AT avpanteleev solvingengineeringoptimizationproblemswiththeswarmintelligencemethods
AT mdevdokimova solvingengineeringoptimizationproblemswiththeswarmintelligencemethods