APPLICATION OF HYBRID RANDOM SEARCH METHOD TO OPTIMISATION OF ENGINEERING SYSTEMS’ PARAMETERS

This paper presents a modification of the Luus-Jaakola global optimization method, which belongs to the class of metaheuristic algorithms. A hybrid method is suggested, using a combination of random search methods: Luus-Jaakola method, adaptive random search method and best trial method. The obtaine...

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Main Authors: A. V. Panteleev, D. A. Rodionova
Format: Article
Language:Russian
Published: Moscow State Technical University of Civil Aviation 2018-07-01
Series:Научный вестник МГТУ ГА
Subjects:
Online Access:https://avia.mstuca.ru/jour/article/view/1264
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author A. V. Panteleev
D. A. Rodionova
author_facet A. V. Panteleev
D. A. Rodionova
author_sort A. V. Panteleev
collection DOAJ
description This paper presents a modification of the Luus-Jaakola global optimization method, which belongs to the class of metaheuristic algorithms. A hybrid method is suggested, using a combination of random search methods: Luus-Jaakola method, adaptive random search method and best trial method. The obtained method is applied to the optimization of parameters of different engineering systems. This class of problems appears during the design of aerospace and aeronautical structures; its goal is the cost or weight minimization of the construction. These problems belong to the class of constrained global optimization problems, where the level surface of the objective function has uneven relief and there is a large number of variables. This means that the classical optimization methods prove to be inefficient and these problems should be solved using metaheuristic optimization methods, which provide sufficient accuracy at reasonable operating time. In this paper, the constrained global optimization problem is solved using the penalty method. Thus, the problem of exterior penalty function optimization is considered, where the penalty coefficients are chosen in such a way as to avoid the violation of the constraints. Two applied problems are considered in the paper: the determination of the high-pressure vessel parameters and the anti rattle spring parameters determination. Using the suggested algorithm, a software complex was developed, which allows us to solve engineering optimization problems. The results obtained using the suggested methods were compared with the results obtained using the non-modified Luus-Jaakola method in order to demonstrate the efficiency of the suggested hybrid random search method.
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spelling doaj.art-4c61e296d7f74967aa521773f84adde12023-03-13T07:19:19ZrusMoscow State Technical University of Civil AviationНаучный вестник МГТУ ГА2079-06192542-01192018-07-0121313914910.26467/2079-0619-2018-21-3-139-1491210APPLICATION OF HYBRID RANDOM SEARCH METHOD TO OPTIMISATION OF ENGINEERING SYSTEMS’ PARAMETERSA. V. Panteleev0D. A. Rodionova1Московский авиационный институт (национальный исследовательский университет), г. МоскваМосковский авиационный институт (национальный исследовательский университет), г. МоскваThis paper presents a modification of the Luus-Jaakola global optimization method, which belongs to the class of metaheuristic algorithms. A hybrid method is suggested, using a combination of random search methods: Luus-Jaakola method, adaptive random search method and best trial method. The obtained method is applied to the optimization of parameters of different engineering systems. This class of problems appears during the design of aerospace and aeronautical structures; its goal is the cost or weight minimization of the construction. These problems belong to the class of constrained global optimization problems, where the level surface of the objective function has uneven relief and there is a large number of variables. This means that the classical optimization methods prove to be inefficient and these problems should be solved using metaheuristic optimization methods, which provide sufficient accuracy at reasonable operating time. In this paper, the constrained global optimization problem is solved using the penalty method. Thus, the problem of exterior penalty function optimization is considered, where the penalty coefficients are chosen in such a way as to avoid the violation of the constraints. Two applied problems are considered in the paper: the determination of the high-pressure vessel parameters and the anti rattle spring parameters determination. Using the suggested algorithm, a software complex was developed, which allows us to solve engineering optimization problems. The results obtained using the suggested methods were compared with the results obtained using the non-modified Luus-Jaakola method in order to demonstrate the efficiency of the suggested hybrid random search method.https://avia.mstuca.ru/jour/article/view/1264метаэвристические методы оптимизацииглобальный экстремумслучайный поискгибридные методы
spellingShingle A. V. Panteleev
D. A. Rodionova
APPLICATION OF HYBRID RANDOM SEARCH METHOD TO OPTIMISATION OF ENGINEERING SYSTEMS’ PARAMETERS
Научный вестник МГТУ ГА
метаэвристические методы оптимизации
глобальный экстремум
случайный поиск
гибридные методы
title APPLICATION OF HYBRID RANDOM SEARCH METHOD TO OPTIMISATION OF ENGINEERING SYSTEMS’ PARAMETERS
title_full APPLICATION OF HYBRID RANDOM SEARCH METHOD TO OPTIMISATION OF ENGINEERING SYSTEMS’ PARAMETERS
title_fullStr APPLICATION OF HYBRID RANDOM SEARCH METHOD TO OPTIMISATION OF ENGINEERING SYSTEMS’ PARAMETERS
title_full_unstemmed APPLICATION OF HYBRID RANDOM SEARCH METHOD TO OPTIMISATION OF ENGINEERING SYSTEMS’ PARAMETERS
title_short APPLICATION OF HYBRID RANDOM SEARCH METHOD TO OPTIMISATION OF ENGINEERING SYSTEMS’ PARAMETERS
title_sort application of hybrid random search method to optimisation of engineering systems parameters
topic метаэвристические методы оптимизации
глобальный экстремум
случайный поиск
гибридные методы
url https://avia.mstuca.ru/jour/article/view/1264
work_keys_str_mv AT avpanteleev applicationofhybridrandomsearchmethodtooptimisationofengineeringsystemsparameters
AT darodionova applicationofhybridrandomsearchmethodtooptimisationofengineeringsystemsparameters