Direct Tracking of the Pareto Front of a Multi-Objective Optimization Problem
In this paper, some methodologies aimed at the identification of the Pareto front of a multi-objective optimization problem are presented and applied. Three different approaches are presented: local sampling, Pareto front resampling and Normal Boundary Intersection (NBI). A first approximation of th...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-09-01
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| Series: | Journal of Marine Science and Engineering |
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| Online Access: | https://www.mdpi.com/2077-1312/8/9/699 |
| _version_ | 1797554175237685248 |
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| author | Daniele Peri |
| author_facet | Daniele Peri |
| author_sort | Daniele Peri |
| collection | DOAJ |
| description | In this paper, some methodologies aimed at the identification of the Pareto front of a multi-objective optimization problem are presented and applied. Three different approaches are presented: local sampling, Pareto front resampling and Normal Boundary Intersection (NBI). A first approximation of the Pareto front is obtained by a regular sampling of the design space, and then the Pareto front is improved and enriched using the other two above mentioned techniques. A detailed Pareto front is obtained for an optimization problem where algebraic objective functions are applied, also in comparison with standard techniques. Encouraging results are also obtained for two different ship design problems. The use of the algebraic functions allows for a comparison with the real Pareto front, correctly detected. The variety of the ship design problems allows for a generalization of the applicability of the methodology. |
| first_indexed | 2024-03-10T16:28:06Z |
| format | Article |
| id | doaj.art-f27353a9efaa41708e0af9c18b82045f |
| institution | Directory Open Access Journal |
| issn | 2077-1312 |
| language | English |
| last_indexed | 2024-03-10T16:28:06Z |
| publishDate | 2020-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Journal of Marine Science and Engineering |
| spelling | doaj.art-f27353a9efaa41708e0af9c18b82045f2023-11-20T13:07:01ZengMDPI AGJournal of Marine Science and Engineering2077-13122020-09-018969910.3390/jmse8090699Direct Tracking of the Pareto Front of a Multi-Objective Optimization ProblemDaniele Peri0Istituto per le Applicazioni del Calcolo “Mauro Picone”, Consiglio Nazionale delle Ricerche (IAC-CNR), 00185 Roma, ItalyIn this paper, some methodologies aimed at the identification of the Pareto front of a multi-objective optimization problem are presented and applied. Three different approaches are presented: local sampling, Pareto front resampling and Normal Boundary Intersection (NBI). A first approximation of the Pareto front is obtained by a regular sampling of the design space, and then the Pareto front is improved and enriched using the other two above mentioned techniques. A detailed Pareto front is obtained for an optimization problem where algebraic objective functions are applied, also in comparison with standard techniques. Encouraging results are also obtained for two different ship design problems. The use of the algebraic functions allows for a comparison with the real Pareto front, correctly detected. The variety of the ship design problems allows for a generalization of the applicability of the methodology.https://www.mdpi.com/2077-1312/8/9/699multi-objective optimizationpareto frontnormal boundary intersectionship design optimization |
| spellingShingle | Daniele Peri Direct Tracking of the Pareto Front of a Multi-Objective Optimization Problem Journal of Marine Science and Engineering multi-objective optimization pareto front normal boundary intersection ship design optimization |
| title | Direct Tracking of the Pareto Front of a Multi-Objective Optimization Problem |
| title_full | Direct Tracking of the Pareto Front of a Multi-Objective Optimization Problem |
| title_fullStr | Direct Tracking of the Pareto Front of a Multi-Objective Optimization Problem |
| title_full_unstemmed | Direct Tracking of the Pareto Front of a Multi-Objective Optimization Problem |
| title_short | Direct Tracking of the Pareto Front of a Multi-Objective Optimization Problem |
| title_sort | direct tracking of the pareto front of a multi objective optimization problem |
| topic | multi-objective optimization pareto front normal boundary intersection ship design optimization |
| url | https://www.mdpi.com/2077-1312/8/9/699 |
| work_keys_str_mv | AT danieleperi directtrackingoftheparetofrontofamultiobjectiveoptimizationproblem |