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Designs for restricted exploration in mixture experiments
Author(s) -
Goel B. S.
Publication year - 1980
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710220409
Subject(s) - simplex , transformation (genetics) , construct (python library) , design of experiments , computer science , mathematical optimization , algorithm , mathematics , simplex algorithm , combinatorics , linear programming , statistics , programming language , biochemistry , chemistry , gene
Extreme Vertices designs were developed by MCLEAN and ANDERSON (1966) for situations where components of a mixture are restricted by lower and upper bounds, SNEE and MARQUARDT (1974) and SNEE (1975) gave algorithms to construct optimum designs in these situations. SAXENA and NIGAM (1975) evolved a transformation which provides designs for restricted exploration using Symmetric Simplex designs. In this paper a procedure has been given which provides alternative designs with uniform exploration in constrained mixture experiments. The procedure is illustrated by an example.