A Deterministic Global Design Optimization Method for Nonconvex Generalized Polynomial Problems

[+] Author and Article Information
Chihsiung Lo, P. Y. Papalambros

Design Laboratory, Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109

J. Mech. Des 118(1), 75-81 (Mar 01, 1996) (7 pages) doi:10.1115/1.2826859 History: Received February 01, 1995; Revised July 01, 1995; Online December 11, 2007


A new design optimization method is described for finding global solutions of models with a nonconvex objective function and nonlinear constraints. All functions are assumed to be generalized polynomials. By introducing new variables, the original model is transformed into one with a linear objective function, one convex and one reversed convex constraint. A two-phase algorithm that includes global feasible search and local optimal search is used for globally optimizing the transformed model. Several examples illustrate the method.

Copyright © 1996 by The American Society of Mechanical Engineers
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