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Plans d'expérience pour mélanges à deux niveaux et facteurs externes

Abstract : Mixture experiment is applied when the response dependent only on the proportions of the mixture components. In a mixture of mixtures formulation each major component (CP) is a sub-mixture of minor components (CS). These systems are classified in: type A: CP proportions are fixed and CS proportions are variable, type B: both CP and CS proportions are variable. In order to investigate blending properties we propose additive model for types A and B mixtures. Additive model performs well with many components because the number of parameters is quite lower than the number of parameters in multiplicative models proposed in previous works. We build designs satisfying the orthogonality condition within each group of CS and balance condition between CP couples. The uniform optimality is verified by Orthogonal-balanced (OE) designs composed of pure sub-mixtures. Identification between orthogonal arrays and the OE experiments for pure substances makes it possible to obtain small size experiments for certain configurations of mixture systems. Identification between this sub-class of OE design and the axial sub-mixtures is also established. It provide a way to obtain OE experiments where the proportions of CS and the CP are non zero. Models for the effect of both proportions and process variables are also considered through first degree polynomials and orthogonal fractions constructed from factorial design jointing CS, CP and process variables.
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Contributor : Hanen Hanna <>
Submitted on : Thursday, February 10, 2011 - 1:27:54 PM
Last modification on : Friday, January 15, 2021 - 9:24:24 AM
Long-term archiving on: : Wednesday, May 11, 2011 - 2:57:13 AM


  • HAL Id : tel-00564885, version 1



Hanen Hanna. Plans d'expérience pour mélanges à deux niveaux et facteurs externes. Mathématiques [math]. Université de Pau et des Pays de l'Adour, 2010. Français. ⟨tel-00564885⟩



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