An Algorithm for Solving the System-Level Problem in Multilevel Optimization.
INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA
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A multilevel optimization approach which is applicable to nonhierarchic coupled systems is presented. The approach includes a general treatment of design or behavior constraints and coupling constraints at the discipline level through the use of norms. Three different types of norms are examined-the max norm, the Kreisselmeier-Steinhauser KS norm, and the 1p norm. The max norm is recommended. The approach is demonstrated on a class of hub frame structures which simulate multidisciplinary systems. The max norm is shown to produce system-level constraint functions which are non-smooth. A cutting-plane algorithm is presented which adequately deals with the resulting corners in the constraint functions. The algorithm is tested on hub frames with increasing number of members which simulate disciplines, and the results are summarized.
- Numerical Mathematics