Research Article
Jun 1982
Graphical Method of Optimization: A Short Cut
Publication: Journal of the Construction Division
Volume 108, Issue 2
Abstract
Although optimization problems are usually solved by computer, argument is presented that simpler cases can be handled by non-computer methods. A new, graphical method based on triangular systems of coordinates is presented. The triangular system described is usually considered an equilateral triangle. Each of the three sides of the triangle can be used as a coordinate axis for a variable in a suitable scale. Each combination of the three variables has a correspondent point in the triangle. The coordinates of a point inside the triangle represent the magnitude of each of the three variables, and can be read off of the corresponding scales. Two examples illustrate the application of this method. The method is compared with the Simplex method to show advantages and limitations.
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Information
Published In
Journal of the Construction Division
Volume 108 • Issue 2 • June 1982
Pages: 211 - 218
Copyright
© 1982 American Society of Civil Engineers.
History
Published in print: Jun 1982
Published online: Feb 11, 2021
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Authors
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Sandor Popovics, F.ASCE
Prof.; Dept. of Civ. Engrg., Drexel Univ., Philadelphia, Pa. 19104
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.