The Geometry of Constrained Mixture Experiments
作者:
RonaldB. Crosier,
期刊:
Technometrics
(Taylor Available online 1986)
卷期:
Volume 28,
issue 2
页码: 95-102
ISSN:0040-1706
年代: 1986
DOI:10.1080/00401706.1986.10488110
出版商: Taylor & Francis Group
关键词: Vertices algorithm;Pseudocomponents;Centroids
数据来源: Taylor
摘要:
In mixture experiments, the proportions of the components are often constrained by upper and lower bounds. The resulting experimental region is usually an irregular polyhedron. The experimental region, however, can be obtained from a regular simplex by truncation. This technique allows derivation of formulas for the number of boundaries, and the volume, of the experimental region. The formulas for the number of boundaries provide guidance for designing mixture experiments. The formula for volume may be used to determine if small changes in the constraints have a small effect on the experimental region. The volume formula is also used, along with the truncation procedure, to calculate center-of-mass centroids. A new algorithm is given for generation of the vertices of mixture regions constrained by upper and lower bounds.
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