Abstract
A strategy to help the formulator obtain a good, low cost, light duty liquid detergent formulation which matches or exceeds the properties of a commercially available product in a small number of steps is presented in this paper. The strategy is a sequential procedure, making use of a formulator’s prior knowledge of the system, results obtained in previous steps, regression analysis and linear programming. The linear model is improved at each step. In comparison with previously published methods of detergent formulation, a considerably smaller number of steps is required to arrive at a minimum cost formulation which meets the property specifications. The strategy is illustrated by matching the properties of a commercial detergent in less than nine steps using ten components, of which eight can vary.
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References
Box, G.E.P., W.G. Hunter and J.S. Hunter,Statistics for Experimenters: An Introduction to Design, Data Analysis and Model Building, John Wiley & Sons, New York, 1978.
Dantzig, G.B.,Linear Programming and Extensions, Princeton University Press, Princeton, New Jersey, 1963.
The Design and Analysis of Industrial Experiments, 2nd edn., revised edited by O.L. Davis, Oliver and Boyd, London, 1956.
Draper, N., and H. Smith,Applied Regression Analysis, 2nd edn, John Wiley & Sons, New York, 1981.
Ignizio, J.P.,Linear Programming in Single- and Multiple Objective Systems, Prentice-Hall, Englewood Cliffs, NJ, 1982.
Neter, N., and W. Wassermann,Applied Linear Statistical Models, Richard D. Irwin, Homewood, IL, 1974.
Narcy, J.P., and J. Renaud,J. Am. Oil Chem. Soc. 42:598 (1972).
Steinle, E.C., C.D. Hendrix and R.R. Fields, Ibid.:198 (1971).
Galante, D.C., and P.W. Dillon,Chem. Times and Trends 4:49 (1980).
Kavanagh, P.E.,J. Oil Col. Chem. Assoc. 61:146 (1978).
Shell Chemical (Australia) Pty. Ltd., Technical Bulletin,Formulations of Light-Duty Liquid Detergents with Derivatives of Dobane and Dobanol, UD/011.
Shell Chemical (Australia) Pty. Ltd., Technical Report,Determination of the Clear Point of Liquid Detergent, CLM8-77.
Shell Chemical (Australia) Pty. Ltd., Technical Report,Geelong Soil Titration Test, GLM1-84.
Ryan, T.A. Jr., B.L. Joiner and B.F. Ryan,Minitab Handbook, 2nd edn., Duxbury Press, Boston, 1985.
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Chan, K.Y., Kavanagh, P.E. The application of linear programming and regression analysis to light duty liquid detergent formulation. J Am Oil Chem Soc 65, 1971–1976 (1988). https://doi.org/10.1007/BF02546020
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DOI: https://doi.org/10.1007/BF02546020