Infeasibility and Non-Optimality Tests for Solution Space Reduction in Discrete Optimal Design

[+] Author and Article Information
L. P. Pomrehn, P. Y. Papalambros

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

J. Mech. Des 117(3), 425-432 (Sep 01, 1995) (8 pages) doi:10.1115/1.2826696 History: Received June 01, 1994; Revised March 01, 1995; Online December 11, 2007


Techniques employed for nonlinear design optimization with discrete variables are studied in the context of a particular problem arising from the design of a gear train. The mathematical model formulation was presented in an earlier article. In this sequel, a solution derivation is described, patterned as a multistage process. After certain reformulation and relaxation, a variety of infeasibility and non-optimality tests are performed, greatly reducing the size of the space containing the global optimum. Methods used to investigate the remaining space do not guarantee a global optimum, but could be replaced by more costly methods that do provide such guarantees. A global infimum is generated, bounding any improvements on the best known solution.

Copyright © 1995 by The American Society of Mechanical Engineers
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