Performance of the Super Modified Simplex

M. W. Routh; P. A. Swartz; M. B. Denton

doi:10.1021/ac50017a033

Performance of the Super Modified Simplex

M. W. Routh, P. A. Swartz, M. B. Denton

Research output: Contribution to journal › Article › peer-review

171 Scopus citations

Abstract

A new, improved simplex optimization procedure has been developed which significantly increases the utility, reliability, and efficiency of current state-of-the-art simplicial methods in the presence of random response fluctuations. Comparison of this improved procedure, the Super Modified Simplex (SMS), with several variations of the modified simplex approach utilizing an interactively computer-controlled flame spectrophotometer reveals its inherent superiority In rapidly and efficiently conforming to multidimensional response surface topography. Data are presented which indicate fewer simplices and data points, as well as a reduction in experimental time results when the SMS procedure is employed. Moreover, failure to satisfactorily locate the optimum in the presence of noise due to premature diminuation of the simplex, adherence to false ridges, or inability to accurately home in on the optimum is minimized.

Original language	English (US)
Pages (from-to)	1422-1428
Number of pages	7
Journal	Analytical Chemistry
Volume	49
Issue number	9
DOIs	https://doi.org/10.1021/ac50017a033
State	Published - Aug 1 1977
Externally published	Yes

ASJC Scopus subject areas

Analytical Chemistry

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10.1021/ac50017a033

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title = "Performance of the Super Modified Simplex",

abstract = "A new, improved simplex optimization procedure has been developed which significantly increases the utility, reliability, and efficiency of current state-of-the-art simplicial methods in the presence of random response fluctuations. Comparison of this improved procedure, the Super Modified Simplex (SMS), with several variations of the modified simplex approach utilizing an interactively computer-controlled flame spectrophotometer reveals its inherent superiority In rapidly and efficiently conforming to multidimensional response surface topography. Data are presented which indicate fewer simplices and data points, as well as a reduction in experimental time results when the SMS procedure is employed. Moreover, failure to satisfactorily locate the optimum in the presence of noise due to premature diminuation of the simplex, adherence to false ridges, or inability to accurately home in on the optimum is minimized.",

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AU - Swartz, P. A.

AU - Denton, M. B.

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N2 - A new, improved simplex optimization procedure has been developed which significantly increases the utility, reliability, and efficiency of current state-of-the-art simplicial methods in the presence of random response fluctuations. Comparison of this improved procedure, the Super Modified Simplex (SMS), with several variations of the modified simplex approach utilizing an interactively computer-controlled flame spectrophotometer reveals its inherent superiority In rapidly and efficiently conforming to multidimensional response surface topography. Data are presented which indicate fewer simplices and data points, as well as a reduction in experimental time results when the SMS procedure is employed. Moreover, failure to satisfactorily locate the optimum in the presence of noise due to premature diminuation of the simplex, adherence to false ridges, or inability to accurately home in on the optimum is minimized.

AB - A new, improved simplex optimization procedure has been developed which significantly increases the utility, reliability, and efficiency of current state-of-the-art simplicial methods in the presence of random response fluctuations. Comparison of this improved procedure, the Super Modified Simplex (SMS), with several variations of the modified simplex approach utilizing an interactively computer-controlled flame spectrophotometer reveals its inherent superiority In rapidly and efficiently conforming to multidimensional response surface topography. Data are presented which indicate fewer simplices and data points, as well as a reduction in experimental time results when the SMS procedure is employed. Moreover, failure to satisfactorily locate the optimum in the presence of noise due to premature diminuation of the simplex, adherence to false ridges, or inability to accurately home in on the optimum is minimized.

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Performance of the Super Modified Simplex

Abstract

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