Reliability-based multiobjective optimization using the satisficing trade-off method

This study proposes a reliability-based multiobjective optimization (RBMO) approach using the satisficing trade-off method (STOM). STOM is a multiobjective optimization method that obtains a highly accurate single Pareto solution, regardless of the shape of the Pareto set. By introducing an aspirati...

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Autores principales:	Nozomu KOGISO, Ryo KODAMA, Masahiro TOYODA
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2014
Materias:	reliability-based multiobjective optimization satisficing trade-off method pareto set automatic trade-off analysis first-order reliability method Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/b086894c6b4a44ec9b376da55631422e
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id	oai:doaj.org-article:b086894c6b4a44ec9b376da55631422e
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spelling	oai:doaj.org-article:b086894c6b4a44ec9b376da55631422e2021-11-26T06:14:30ZReliability-based multiobjective optimization using the satisficing trade-off method2187-974510.1299/mej.2014dsm0063https://doaj.org/article/b086894c6b4a44ec9b376da55631422e2014-12-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/1/6/1_2014dsm0063/_pdf/-char/enhttps://doaj.org/toc/2187-9745This study proposes a reliability-based multiobjective optimization (RBMO) approach using the satisficing trade-off method (STOM). STOM is a multiobjective optimization method that obtains a highly accurate single Pareto solution, regardless of the shape of the Pareto set. By introducing an aspiration level, STOM transforms the multiobjective optimization problem into the equivalent single objective problem. When the given Pareto solution is not satisfactory, the search process is repeated with a different aspiration level, which is selected using the automatic trade-off method, for example. RBMO considers multiobjective optimization under reliability constraints that consider uncertainties in the design parameters. In this study, the reliability is evaluated by the first-order reliability method. Therefore, the optimization problem is formulated as a conventional double-loop approach. However, the validity of the proposed method can be illustrated without a decoupled reliability-based design approach. Through numerical examples, the proposed method is shown to obtain an accurate Pareto solution for the RBMO problem. In addition, compared to multiobjective particle swarm optimization, parametrically changing the aspiration level produces a more accurate, uniformly distributed, and diverse Pareto set. The tracking ability of Pareto solutions with the same aspiration level is investigated in terms of the target reliability, which clarifies that the shift in the dominant failure mode influences the kink in the tracking trajectory. Finally, an analysis of the automatic trade-off method demonstrates that the desired Pareto solution can be obtained by updating the aspiration level, even when the Pareto surface is nonlinear.Nozomu KOGISORyo KODAMAMasahiro TOYODAThe Japan Society of Mechanical Engineersarticlereliability-based multiobjective optimizationsatisficing trade-off methodpareto setautomatic trade-off analysisfirst-order reliability methodMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 1, Iss 6, Pp DSM0063-DSM0063 (2014)
institution	DOAJ
collection	DOAJ
language	EN
topic	reliability-based multiobjective optimization satisficing trade-off method pareto set automatic trade-off analysis first-order reliability method Mechanical engineering and machinery TJ1-1570
spellingShingle	reliability-based multiobjective optimization satisficing trade-off method pareto set automatic trade-off analysis first-order reliability method Mechanical engineering and machinery TJ1-1570 Nozomu KOGISO Ryo KODAMA Masahiro TOYODA Reliability-based multiobjective optimization using the satisficing trade-off method
description	This study proposes a reliability-based multiobjective optimization (RBMO) approach using the satisficing trade-off method (STOM). STOM is a multiobjective optimization method that obtains a highly accurate single Pareto solution, regardless of the shape of the Pareto set. By introducing an aspiration level, STOM transforms the multiobjective optimization problem into the equivalent single objective problem. When the given Pareto solution is not satisfactory, the search process is repeated with a different aspiration level, which is selected using the automatic trade-off method, for example. RBMO considers multiobjective optimization under reliability constraints that consider uncertainties in the design parameters. In this study, the reliability is evaluated by the first-order reliability method. Therefore, the optimization problem is formulated as a conventional double-loop approach. However, the validity of the proposed method can be illustrated without a decoupled reliability-based design approach. Through numerical examples, the proposed method is shown to obtain an accurate Pareto solution for the RBMO problem. In addition, compared to multiobjective particle swarm optimization, parametrically changing the aspiration level produces a more accurate, uniformly distributed, and diverse Pareto set. The tracking ability of Pareto solutions with the same aspiration level is investigated in terms of the target reliability, which clarifies that the shift in the dominant failure mode influences the kink in the tracking trajectory. Finally, an analysis of the automatic trade-off method demonstrates that the desired Pareto solution can be obtained by updating the aspiration level, even when the Pareto surface is nonlinear.
format	article
author	Nozomu KOGISO Ryo KODAMA Masahiro TOYODA
author_facet	Nozomu KOGISO Ryo KODAMA Masahiro TOYODA
author_sort	Nozomu KOGISO
title	Reliability-based multiobjective optimization using the satisficing trade-off method
title_short	Reliability-based multiobjective optimization using the satisficing trade-off method
title_full	Reliability-based multiobjective optimization using the satisficing trade-off method
title_fullStr	Reliability-based multiobjective optimization using the satisficing trade-off method
title_full_unstemmed	Reliability-based multiobjective optimization using the satisficing trade-off method
title_sort	reliability-based multiobjective optimization using the satisficing trade-off method
publisher	The Japan Society of Mechanical Engineers
publishDate	2014
url	https://doaj.org/article/b086894c6b4a44ec9b376da55631422e
work_keys_str_mv	AT nozomukogiso reliabilitybasedmultiobjectiveoptimizationusingthesatisficingtradeoffmethod AT ryokodama reliabilitybasedmultiobjectiveoptimizationusingthesatisficingtradeoffmethod AT masahirotoyoda reliabilitybasedmultiobjectiveoptimizationusingthesatisficingtradeoffmethod
_version_	1718409802153984000

Reliability-based multiobjective optimization using the satisficing trade-off method

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