Construction of Full Order-of-Addition Generalization Simplex-Centroid Designs by the Directed Graph Approach

The order-of-addition generalization simplex-centroid designs play a key role in mixture experiments, for example, the mixture experiments with process variables. The paper formally combines order-of-addition (OofA) with mixture components in the same experiment. This paper proposes a new algorithm...

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Bibliographic Details
Main Authors: Haosheng Jiang, Chongqi Zhang
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/3/443
Description
Summary:The order-of-addition generalization simplex-centroid designs play a key role in mixture experiments, for example, the mixture experiments with process variables. The paper formally combines order-of-addition (OofA) with mixture components in the same experiment. This paper proposes a new algorithm which generates full OofA <i>m</i>th-degree generalization simplex-centroid designs for <i>q</i> components by a class of the direction graphs, and a series of examples also confirms the value of the proposed algorithm.
ISSN:2227-7390