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A Linearization Method for Multilevel Optimization

In: Numerical Techniques for Engineering Analysis and Design

Author

Listed:
  • Michael Beers

    (Douglas Aircraft Company)

  • Garrett N. Vanderplaats

    (University of California)

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.

Suggested Citation

  • Michael Beers & Garrett N. Vanderplaats, 1987. "A Linearization Method for Multilevel Optimization," Springer Books, in: G. N. Pande & J. Middleton (ed.), Numerical Techniques for Engineering Analysis and Design, chapter 0, pages 51-59, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-3653-9_6
    DOI: 10.1007/978-94-009-3653-9_6
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