Optimal Designs for Antoine’s Equation: Compound Criteria and Multi-Objective Designs via Genetic Algorithms

Carlos de la Calle-Arroyo, Miguel A. González-Fernández and Licesio J. Rodríguez-Aragón ()
Additional contact information
Carlos de la Calle-Arroyo: Escuela 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, Spain
Miguel A. González-Fernández: Departamento de Informática, Universidad de Oviedo, E-33204 Gijón, Spain
Licesio J. Rodríguez-Aragón: Escuela 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, Spain

Mathematics, 2023, vol. 11, issue 3, 1-16

Abstract: 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.

Keywords: D -optimal design; I -optimal design; compound designs; multi-objective designs; genetic algorithm (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/3/693/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/3/693/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:3:p:693-:d:1050979

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().