A Linearization Method for Multilevel Optimization

Michael Beers and Garrett N. Vanderplaats
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Michael Beers: Douglas Aircraft Company
Garrett N. Vanderplaats: University of California

Chapter D6 in Numerical Techniques for Engineering Analysis and Design, 1987, pp 51-59 from Springer

Abstract: Abstract A method is described wherein a large optimization problem is broken into a group of problems in a multilevel scheme. The suboptimization problems are solved simultaneously, followed by solution of a large system-level control problem. The sublevel problems involve minimizing a parameter of the designer’s choice over a subset of the design variables, subject to a set of exact and approximate constraints. The system-level optimization consists of minimizing the overall system objective in an entirely linear approximate problem over all of the design variables. This problem can thus be solved using a linear programming algorithm.

Keywords: Design Variable; Lower Level Problem; Subsystem Level; Multilevel Optimization; Multilevel Scheme (search for similar items in EconPapers)
Date: 1987
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DOI: 10.1007/978-94-009-3653-9_6

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