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Application of Plackett‐Burman design and linear programming to light‐duty liquid detergent formulation
Author(s) -
Chan K. Y.,
Kavanagh P. E.
Publication year - 1992
Publication title -
journal of the american oil chemists' society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.512
H-Index - 117
eISSN - 1558-9331
pISSN - 0003-021X
DOI - 10.1007/bf02635811
Subject(s) - plackett–burman design , nonlinear programming , design of experiments , sequential quadratic programming , linear programming , nonlinear system , computer science , mathematics , mathematical optimization , quadratic programming , response surface methodology , statistics , physics , quantum mechanics
Plackett‐Burman experimental design is applied to a seven‐component light‐duty liquid detergent formulation to determine which components affect five different properties of the formulation. Regression analysis and linear programming are then applied to the results of the Plackett‐Burman analysis. It is shown that the formulation can be optimized by linear programming, even if some of the properties are nonlinear. The procedure saves much of the experimental effort required to find the quadratic and interaction terms for nonlinear models of the properties and the difficulties of optimization with nonlinear constraints.