Optimal Designs for Antoine’s Equation: Compound Criteria and Multi-Objective Designs via Genetic Algorithms
Antoine’s Equation is commonly used to explain the relationship between vapour pressure and temperature for substances of industrial interest. This paper sets out a combined strategy to obtain optimal designs for the Antoine Equation for D- and I-optimisation criteria and different variance structur...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/3/693 |
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| author | Carlos de la Calle-Arroyo Miguel A. González-Fernández Licesio J. Rodríguez-Aragón |
| author_facet | Carlos de la Calle-Arroyo Miguel A. González-Fernández Licesio J. Rodríguez-Aragón |
| author_sort | Carlos de la Calle-Arroyo |
| collection | DOAJ |
| description | Antoine’s Equation is commonly used to explain the relationship between vapour pressure and temperature for substances of industrial interest. This paper sets out a combined strategy to obtain optimal designs for the Antoine Equation for D- and I-optimisation criteria and different variance structures for the response. Optimal designs strongly depend not only on the criterion but also on the response’s variance, and their efficiency can be strongly affected by a lack of foresight in this selection. Our approach determines compound and multi-objective designs for both criteria and variance structures using a genetic algorithm. This strategy provides a backup for the experimenter providing high efficiencies under both assumptions and for both criteria. One of the conclusions of this work is that the differences produced by using the compound design strategy versus the multi-objective one are very small. |
| first_indexed | 2024-03-11T09:34:10Z |
| format | Article |
| id | doaj.art-3a9272a79043439481316116bed4bb1a |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T09:34:10Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-3a9272a79043439481316116bed4bb1a2023-11-16T17:23:15ZengMDPI AGMathematics2227-73902023-01-0111369310.3390/math11030693Optimal Designs for Antoine’s Equation: Compound Criteria and Multi-Objective Designs via Genetic AlgorithmsCarlos de la Calle-Arroyo0Miguel A. González-Fernández1Licesio J. Rodríguez-Aragón2Escuela de Ingeniería Industrial y Aeroespacial de Toledo, Instituto de Matemática Aplicada a la Ciencia y a la Ingeniería, Universidad de Castilla-La Mancha, E-45071 Toledo, SpainDepartamento de Informática, Universidad de Oviedo, E-33204 Gijón, SpainEscuela de Ingeniería Industrial y Aeroespacial de Toledo, Instituto de Matemática Aplicada a la Ciencia y a la Ingeniería, Universidad de Castilla-La Mancha, E-45071 Toledo, SpainAntoine’s Equation is commonly used to explain the relationship between vapour pressure and temperature for substances of industrial interest. This paper sets out a combined strategy to obtain optimal designs for the Antoine Equation for D- and I-optimisation criteria and different variance structures for the response. Optimal designs strongly depend not only on the criterion but also on the response’s variance, and their efficiency can be strongly affected by a lack of foresight in this selection. Our approach determines compound and multi-objective designs for both criteria and variance structures using a genetic algorithm. This strategy provides a backup for the experimenter providing high efficiencies under both assumptions and for both criteria. One of the conclusions of this work is that the differences produced by using the compound design strategy versus the multi-objective one are very small.https://www.mdpi.com/2227-7390/11/3/693<i>D</i>-optimal design<i>I</i>-optimal designcompound designsmulti-objective designsgenetic algorithm |
| spellingShingle | Carlos de la Calle-Arroyo Miguel A. González-Fernández Licesio J. Rodríguez-Aragón Optimal Designs for Antoine’s Equation: Compound Criteria and Multi-Objective Designs via Genetic Algorithms Mathematics <i>D</i>-optimal design <i>I</i>-optimal design compound designs multi-objective designs genetic algorithm |
| title | Optimal Designs for Antoine’s Equation: Compound Criteria and Multi-Objective Designs via Genetic Algorithms |
| title_full | Optimal Designs for Antoine’s Equation: Compound Criteria and Multi-Objective Designs via Genetic Algorithms |
| title_fullStr | Optimal Designs for Antoine’s Equation: Compound Criteria and Multi-Objective Designs via Genetic Algorithms |
| title_full_unstemmed | Optimal Designs for Antoine’s Equation: Compound Criteria and Multi-Objective Designs via Genetic Algorithms |
| title_short | Optimal Designs for Antoine’s Equation: Compound Criteria and Multi-Objective Designs via Genetic Algorithms |
| title_sort | optimal designs for antoine s equation compound criteria and multi objective designs via genetic algorithms |
| topic | <i>D</i>-optimal design <i>I</i>-optimal design compound designs multi-objective designs genetic algorithm |
| url | https://www.mdpi.com/2227-7390/11/3/693 |
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