Remarks on Sufficiency of Constraint-Bound Solutions in Optimal Design

[+] Author and Article Information
P. Y. Papalambros

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

J. Mech. Des 115(3), 374-379 (Sep 01, 1993) (6 pages) doi:10.1115/1.2919201 History: Received February 01, 1988; Revised August 01, 1990; Online June 02, 2008


Early preliminary models for optimal design problems in nonlinear programming formulations often have solutions that are constraint-bound points, i.e., the number of active constraints equals the number of design variables. Models leading to such solutions will typically offer little insight to design trade-offs, and it is desirable to identify them early in order to revise the model or to exclude the points from an active set strategy. Application of monotonicity analysis can quickly identify constraint-bound candidate solutions but not always prove their optimality. This article discusses some conditions under which these points are in fact global or local optima.

Copyright © 1993 by The American Society of Mechanical Engineers
Topics: Design
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