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RESEARCH PAPERS: Design Automation Papers

Some Further Results on Monotonicity in Globally Optimal Design

[+] Author and Article Information
P. Hansen, S. H. Lu

Rutgers Center for Operations Research, Rutgers University, New Brunswick, NJ

B. Jaumard

Groupe d’Etudes et de Recherches en Analyse des Décisions, Ecole Polytechnique, Montréal, Quebec

J. Mech., Trans., and Automation 111(3), 345-352 (Sep 01, 1989) (8 pages) doi:10.1115/1.3259005 History: Received May 01, 1987; Revised May 01, 1988; Online November 19, 2009

Abstract

Many problems of globally optimal design have been solved by using monotonicity analysis. Extended monotonicity principles are obtained by exploiting nonstrict monotonicity of the objective function and of the constraints. Ways to detect monotonicity and branching rules using monotonicity results are also discussed. Several illustrative examples from the literature are solved in an easier way than previously.

Copyright © 1989 by ASME
Topics: Design , Bifurcation
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