Efficient algorithms for constructing D- and I-optimal exact designs for linear and non-linear models in mixture experiments

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Efficient algorithms for constructing D- and I-optimal exact designs for linear and non-linear models in mixture experiments - RP:3413

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https://hdl.handle.net/20.500.11797/RP3413

Autor/s de la URV:	Torsney, Bernard García-Camacha, Irene Martín, Raúl
Any de publicació de la revista:	2019

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Fitxer	Descripció	Format
DocumentPrincipal	DocumentPrincipal	application/pdf

Descripció:	The problem of finding optimal exact designs is more challenging than that of approximate optimal designs. In the present paper, we develop two efficient algorithms to numerically construct exact designs for mixture experiments. The first is a novel approach to the well-known multiplicative algorithm based on sets of permutation points, while the second uses genetic algorithms. Using (i) linear and non-linear models, (ii) D/- and I-optimality criteria, and (iii) constraints on the ingredients, both approaches are explored through several practical problems arising in the chemical, pharmaceutical and oil industry.
Títol:	Efficient algorithms for constructing D- and I-optimal exact designs for linear and non-linear models in mixture experiments
Cobertura:	eng
Matèria:	Optimal experimental design, D-optimality, I-optimality, mixture experiments, multiplicative algorithm, genetic algorithm, exact designs
Format:	application/pdf
Autor:	Torsney, Bernard García-Camacha, Irene Martín, Raúl
Tipus:	SORT:ART info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article
Data:	2019
Editor:	Universitat Rovira i Virgili Universitat de Lleida Universitat de Girona Universitat Pompeu Fabra Universitat Politècnica de Catalunya Universitat Autònoma de Barcelona Universitat de Barcelona Institut d'Estadística de Catalunya

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