New adaptive move-limit management strategy for approximate optimization, part 1

AIAA Journal

Volumn 36, Issue 10, 1998, Pages 1911-1921

  Wujek, B A ^a   Renaud, J E ^b  

^a AIAA   (United States)

^b University of Notre Dame   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3242871612     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.285     Document Type: Article

References (28)

1. Wujek, B. A., and Renaud, J. E., "New Adaptive Move-Limit Management Strategy for Approximate Optimization, Part 2," AIAA Journal, Vol. 36, No. 10, 1998, pp. 1922-1934; also AIAA Paper 98-1966, April 1998.
2. Wujek, B. A., Renaud, J. E., Batill, S. M., and Brockman, J. B., "Concurrent Subspace Optimization Using Design Variable Sharing in a Distributed Computing Environment," Proceedings of the 21 st ASME Design Automation Conference, Vol. 1, DE-Vol. 82, American Society of Mechanical Engineers, New York, 1995, pp. 181-188.
3. Wujek, B. A., "Automation Enhancements in Multidisciplinary Design Optimization," Ph.D. Dissertation, Dept. of Aerospace and Mechanical Engineering, Univ. of Notre Dame, Notre Dame, IN, 1997.
4. Pourazady, M., and Fu, Z., "Integrated Approach to Structural Shape Optimization," Computers and Structures, Vol. 60, No. 2, 1996, pp. 279-289
5. Haftka, R. T., Gurdal, Z., and Kamat, M. P., Elements of Structural Optimization, 2nd ed., Kluwer, Dordrecht, The Netherlands, 1990.
6. Thomas, H. L., Vanderplaats, G. N., and Shyy, Y-K., "A Study of Move Limit Adjustment Strategies in the Approximation Concepts Approach to Structural Synthesis," Proceedings of the AIAA/USAF/NASA/OAI 4th Symposium an Multidisciplinary Analysis and Optimization (Cleveland, OH), AIAA, Washington, DC, 1992, pp. 507-512 (AIAA Paper 92-4750).
7. Bloebaum, C. L., Hong, W., and Peck, A., "Improved Move Limit Strategy for Approximate Optimization," Proceedings of the AIAA/USAF/ NASA/ISSMO 5th Symposium on Multidisciplinary Analysis and Optimization (Panama City, FL), AIAA, Washington, DC, 1994, pp. 843-850 (AIAA Paper 94-4337).
8. Hajela, P., and Sobieszczanski-Sobieski, J., "The Controlled Growth Method - A Tool for Structural Optimization," AIAA Journal, Vol. 20, No. 10, 1982, pp. 1440, 1441.
9. Kreisselmeier, G., and Steinhauser, R., "Systematic Control Design by Optimizing a Vector Performance Index," Proceedings of the International Federation of Active Control Symposium on Computer Aided Design of Control Systems (Zurich, Switzerland), 1979, pp. 113-117.
10. Chen, T-Y., "Calculation of the Move Limits for the Sequential Linear Programming Method," International Journal for Numerical Methods in Engineering, Vol. 36, No. 15, 1993, pp. 2661-2679.
11. Fadel, G. M., and Cimtalay, S., "Automatic Evaluation of Move-Limits in Structural Optimization," Structural Optimization, Vol. 6, No. 4, 1993, pp. 233-237.
12. Fadel, G. M., Riley, M. F., and Barthelemy, J. F. M., "Two Point Exponential Approximation Method for Structural Optimization," Structural Optimization, Vol. 2, No. 2, 1990, pp. 117-124.
13. Grignon, P., and Fadel, G. M., "Fuzzy Move Limit Evaluation in Structural Optimization," AIAA Paper 94-4281, Sept. 1994.
14. Dennis, J. E., and Schnabel, R. R. B., Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Prentice-Hall, Englewood Cliffs, NJ, 1983.
15. Conn, A. R., Could, N. I. M., and Toint, P. L., "LANCELOT: A Fortran Package for Large-Scale Nonlinear Optimization," Springer Series in Computational Mathematics, Vol. 17, Springer-Verlag, Heidelberg, Germany, 1992.
16. Sunar, M., and Belegundu, A. D., "Trust Region Methods for Structural Optimization Using Exact Second Order Sensitivity," International Journal for Numerical Methods in Engineering, Vol. 32, No. 2, 1991, pp. 275-293.
17. Lewis, R. M., "A Trust Region Framework for Managing Approximation Models in Engineering Optimization," Proceedings of the AIAA/NASA/ISSMO 6th Symposium on Multidisciplinary Analysis and Optimization (Bellevue, WA), AIAA, Reston, VA, 1996, pp. 1053-1055 (AIAA Paper 96-4101).
18. Powell, M. J. D., "A Hybrid Method for Nonlinear Equations," Numerical Methods for Nonlinear Algebraic Equations, edited by P. Rabinowitz, Gordon and Breach, London, 1970, pp. 87-114.
19. Alexandrov, N., Dennis, J. E., Lewis, R. M., and Torczon, V., "A Trust Region Framework for Managing the Use of Approximation Models in Optimization," Structural Optimization, Vol. 15, No. 1, 1998, pp. 16-23.
20. Bachem, A., Grötschel, M., and Korte, B., Mathematical Programming: The State of the Art, Springer-Verlag, Berlin, 1982.
21. Conn, A. R., Gould, N. I. M., and Toint, P. L., "Global Convergence of a Class of Trust Region Algorithms for Optimization with Simple Bounds," SIAM Journal of Numerical Analysis, Vol. 25, No. 2, 1988, pp. 433-464.
22. Wang, L. P., and Grandhi, R. V., "Efficient Safety Index Calculation for Structural Reliability Analysis," Computers and Structures, Vol. 52, No. 1, 1994, pp. 103-111.
23. Reklaitis, G. V., Ravindran, A., and Ragsdell, K. M., Engineering Optimization: Methods and Applications, Wiley, New York, 1983.
24. Rosen, J. B., "The Gradient Projection Method for Non-Linear Programming, I.-Linear Constraints," Journal of the Society of Industrial and Applied Mathematics, Vol. 8, No. 1, 1960, pp. 181-217.
25. Arora, J. S., Chahande, A. I., and Paeng, J. K., "Multiplier Methods for Engineering Optimization," International Journal for Numerical Methods in Engineering, Vol. 32, No. 7, 1991, pp. 1485-1525.
26. Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P., Numerical Recipes in FORTRAN, Cambridge Univ. Press, New York, 1992.
27. Wang, L. P., and Grandhi, R. V., "Improved Two-Point Function Approximation for Design Optimization," AIAA Journal, Vol. 33, No. 9, 1995, pp. 1720-1727.
28. User's Manual, Fortran Subroutines for Mathematical Applications," Vol. 3, International Mathematical and Statistical Libraries, Houston, TX, 1997.