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Geometric programming

Published online by Cambridge University Press:  22 September 2016

Robert A. Bagnato*
Affiliation:
Fordham University, New York 10458

Extract

During and after World War II, operational research teams needed new, computer-adaptable methods for optimization problems in industry, engineering, economics and the armed forces. The calculus methods developed in the sixteenth century to solve problems in astronomy, physics and geometry, even when they were applicable, were not always computer-adaptable. Among these new operational research methods is geometric programming, an optimization technique which in its beginning utilized the theorems in this article. The word “geometric” comes from its use of the geometric mean as well as geometrical concepts such as orthogonality and normalization.

Type
Research Article
Copyright
Copyright © Mathematical Association 1975

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References

1. Zener, C., Engineering design by geometric programming. Wiley-Interscience (1971).Google Scholar
2. Zener, C., A mathematical aid in optimizing engineering designs, Proc. Natn. Acad. Sci. U.S.A. 47, 537539 (1961).Google Scholar
3. Duffin, R., Peterson, E. and Zener, C., Geometric programming. Wiley (1967).Google Scholar
4. Duffin, R. and Peterson, E., Reports 70–38 and 71–19. Dept. of Mathematics, Carnegie-Mellon University.Google Scholar