Monotonicity in Goal and Geometric Programming

[+] Author and Article Information
P. Papalambros

Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, Mich. 48109

J. Mech. Des 104(1), 108-113 (Jan 01, 1982) (6 pages) doi:10.1115/1.3256299 History: Received June 01, 1980; Online November 17, 2009


The concept of monotonicity is applied to posynomial geometric programming establishing rules for constraint activity identification by inspection. The same concept applied to goal programming allows direct evaluation of deviational variables. Goal interpretation with dominance conditions obviates the use of deviational variables and permits easy parametric analysis. Examples for helical spring design and machining economics of a turning operation are presented.

Copyright © 1982 by ASME
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