Program for optimization of experimental data within a constrained configuration
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"The purpose of this thesis is to discuss and evaluate the development of a computer program for the optimization of a variable within a constrained situation. The objective of the program is to determine what combination of values for Xi (i not to exceed 4) will produce the optimum or best results for Yi (i not to exceed 4) subject to the constraint that other dependent variables Yk are within prescribed limits. This program was originally prepared to assist in the analysis of a problem involving dental amalgams. The independent variables involved are the oxidation time of the amalgam (done by the manufacturer) and the trituration or mixing time (done by the dentist in his office). The dependent variables involved are the tensile strength of the amalgam and the carving time, which is the time available to the dentist to shape the amalgam in the cavity before the alloy begins to harden. The program was to be used to determine what combination of oxidation time and trituration time would produce the strongest amalgam subject to the constraint that the carving time would be at least 2 1/2 minutes. At the time the original report on this program was prepared, the amalgam data was not available. Subsequent to the writing of this thesis the data became available and was analyzed using the program. The results of the program allowed a tentative conclusion to be reached, but the experimental error was so large compared to the value of the constraining independent variable that no definite recommendation could be made to the experimenter on where he should conduct further experiments."--Introduction.
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