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RESEARCH PAPERS: Design Automation Papers

A Framework for Algorithms in Globally Optimal Design

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

Rutgers Center for Operations Research, Rutgers University, New Brunswick, NJ 08903

B. Jaumard

Groupe d’Etudes et de Recherches en Analyse des Décisions, Ecole Polytechnique, Montreal, Canada

J. Mech., Trans., and Automation 111(3), 353-360 (Sep 01, 1989) (8 pages) doi:10.1115/1.3259006 History: Received May 01, 1987; Revised August 01, 1988; Online November 19, 2009

Abstract

Many problems of globally optimal design have been solved in the literature using monotonicity analysis and a variety of tests, often applied in an ad hoc way. These tests are developed here, expressed mathematically and classified according to the conclusions they yield. Moreover, many new tests, similar to those used in combinatorial optimization, are presented. Finally, a general framework is proposed in which branch-and-bound algorithms for globally optimal design problems can be expressed.

Copyright © 1989 by ASME
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