Using approximate models for engineering design

Cramer, Evin

doi:10.2514/6.1998-4716

Cited by 4 publications

(1 citation statement)

References 9 publications

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“…The DIRECT global optimization algorithm 1 has been found to be an e ective optimization method for moderate numbers of dimensions. 1,2 It has been used with much success for constrained ight path problems, 3 conceptual level designs of engineering problems 2 and for selecting points for building approximation models 4 where a broad examination of the design space is important. Cox et al 2 used a modi ed form of the DIRECT algorithm to optimize the conceptual design of a High Speed Civil Transport (HSCT) con guration with up to 20 design variables as well as several algebraic test problems, while Baker et al 5 extended the optimization of the HSCT problem to 28 design variables.…”

Section: Introductionmentioning

confidence: 99%

DIRECT Algorithm with Box Penetration for Improved Local Convergence

Cox¹,

Hart²,

Haftka³

et al. 2002

9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization

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We describe DIRECT-BP, a modi cation to the DIRECT algorithm that attempts to perform a more balanced search about the best point found in each iteration. DIRECT ensures the division of one of the largest boxes in each iteration, which asymptotically guarantees convergence to a global optimum. We demonstrate that DIRECT can fail to e ectively perform local search about the best point found even though it globally optimizes. DIRECT-BP modi es the DIRECT algorithm to ensure more e ective local convergence. DIRECT-BP forces a subset of the boxes neighboring the best box to divide, and it provides a mechanism for the local search to move from one box to another. This allows continuous progress towards a local optimum without relying on the global aspects of DIRECT.

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Section: Introductionmentioning

confidence: 99%