References

The list below includes some links to PostScript files of the most recent versions of the papers for which these links have been given. If you wish to save the PostScript file rather than have it pop up some helper application window (e.g., ghostview), click on the link with the SHIFT key depressed. With the Netscape browser, at least, this will bring up a "Save As" dialog box.

1

Natalia Alexandrov, J. E. Dennis, Jr., Robert Michael Lewis, and Virginia Torczon.
A trust region framework for managing the use of approximation models in optimization.
Structural Optimization, 15:16-23, 1998.

2

Jean-Francois M. Barthelemy and Raphael T. Haftka.
Approximation concepts for optimum structural design - a review.
Structural Optimization, 5:129-144, 1993.

3

Andrew J. Booker.
DOE for computer output.
Technical Report BCSTECH-94-052, Boeing Computer Services, Research and Technology, M/S 7L-68, Seattle, WA 98134-0346, 1994.

4

Andrew J. Booker, Andrew R. Conn, J. E. Dennis, Paul D. Frank, David Serafini, Virginia Torczon, and Michael Trosset.
Multi-level design optimization: A Boeing/IBM/Rice collaborative project. 1996 final report.
Technical Report ISSTECH-96-031, Boeing Information & Support Services, Research & Technology, Technology, P.O. Box 3707, M/S 7L-68, Seattle, WA 98124-2207, December 1996.

5

Andrew J. Booker, J. E. Dennis, Jr., Paul D. Frank, David B. Serafini, and Virginia Torczon.
Optimization using surrogate objectives on a helicopter test example.
In J. Borggaard, J. Burns, E. Cliff, and S. Schreck, editors, Optimal Design and Control, Birkhauser, to appear.

6

Andrew J. Booker, J. E. Dennis, Jr., Paul D. Frank, David B. Serafini, Virginia Torczon, and Michael W. Trosset.
A rigorous framework for optimization of expensive functions by surrogates.
Structural Optimization, to appear, subject to suitable revision.

7

Kwan J. Chang, Raphael T. Haftka, Gary L. Giles, and Pi-Jen Kao.
Sensitivity-based scaling for approximating structural response.
Journal of Aircraft, 30(2):283-288, 1993.

8

J. E. Dennis and Virginia Torczon.
Managing approximation models in optimization.
In Natalia M. Alexandrov and M. Y. Hussaini, editors Multidisciplinary Design Optimization: State-of-the-Art, pages 330-347, Philadelphia, 1997. SIAM.

9

J. E. Dennis, Jr. and Virginia Torczon.
Direct search methods on parallel machines.
SIAM Journal on Optimization, 1(4):448-474, November 1991.

10

Robert Michael Lewis and Virginia J. Torczon.
Pattern search algorithms for bound constrained minimization.
Technical Report 96-20, ICASE, Mail Stop 403, NASA Langley Research Center, Hampton, Virginia 23681-2199, 1996. To appear in SIAM Journal on Optimization, 1999.
Note that the postscript version linked here contains the final revision of the paper as it is to appear in the SIAM Journal on Optimization and thus differs from the original ICASE report.

11

Robert Michael Lewis and Virginia J. Torczon.
Pattern search methods for linearly constrained minimization.
Technical Report 98-3, ICASE, Mail Stop 403, NASA Langley Research Center, Hampton, Virginia 23681-2199, January 1998. To appear in SIAM Journal on Optimization.

12

R. H. Myers and D. C. Montgomery
Response Surface Methodology: Process and Product Optimization Using Designed Experiments.
John Wiley & Sons, New York, 1995.

13

Jerome Sacks, William J. Welch, Toby J. Mitchell, and Henry P. Wynn.
Design and analysis of computer experiments.
Statistical Science, 4(4):409-423, November 1989.

14

David B. Serafini.
A Framework for Managing Models in Optimization for Computationally Expensive Functions.
PhD thesis, Department of Computational and Applied Mathematics, Rice University, Houston, TX 77005-1892, expected 1998.

15

Virginia Torczon.
PDS: Direct search methods for unconstrained optimization on either parallel or sequential machines.
In revision for ACM Transactions on Mathematical Software.

16

Virginia Torczon.
On the convergence of pattern search algorithms.
SIAM Journal on Optimization, 7(1):1-25, February 1997.

17

Virginia Torczon and Michael W. Trosset.
From evolutionary operation to parallel direct search: Pattern search algorithms for numerical optimization.
Computing Science and Statistics, 29:396-401, 1998.

18

Michael W. Trosset and Virginia Torczon.
Numerical optimization using computer experiments.
Technical Report 97-38, ICASE, Mail Stop 403, NASA Langley Research Center, Hampton, Virginia 23681-2199, August 1997.