Optimality and Constrained Derivatives in Two-Level Design Optimization

[+] Author and Article Information
S. Azarm, W.-C. Li

Department of Mechanical Engineering, The University of Maryland, College Park, MD 20742

J. Mech. Des 112(4), 563-568 (Dec 01, 1990) (6 pages) doi:10.1115/1.2912647 History: Received January 01, 1990; Online June 02, 2008


The objective of this paper is twofold. First, an optimality test is presented to show that the optimality conditions for a separable two-level design optimization problem before and after its decomposition are the same. Second, based on identification of active constraints and exploitation of problem structure, a simple approach for calculating the gradient of a “second-level” problem is presented. This gradient is an important piece of information which is needed for solution of two-level design optimization problems. Three examples are given to demonstrate applications of the approach.

Copyright © 1990 by The American Society of Mechanical Engineers
Topics: Design , Optimization
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