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

Belongs to RP:SerieSORT collection

TITLE:

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

Handle:

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

URV's Author/s:	Torsney, Bernard García-Camacha, Irene Martín, Raúl
Journal publication year:	2019
Publication Type:	info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article
Abstract:	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.
Keywords:	Optimal experimental design, D-optimality, I-optimality, mixture experiments, multiplicative algorithm, genetic algorithm, exact designs

Search your record at:

Available files
File	Description	Format
DocumentPrincipal	DocumentPrincipal	application/pdf

Description:	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.
Coverage:	eng
Type:	SORT:ART info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article
Títol:	Efficient algorithms for constructing D- and I-optimal exact designs for linear and non-linear models in mixture experiments
Subject:	Optimal experimental design, D-optimality, I-optimality, mixture experiments, multiplicative algorithm, genetic algorithm, exact designs
Format:	application/pdf
Creator:	Torsney, Bernard García-Camacha, Irene Martín, Raúl
Date:	2019
Publisher:	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

Information