Trust region augmented lagrangian methods for sequential response surface approximation and optimization

Proceedings of the ASME Design Engineering Technical Conference

Volumn 2, Issue , 1997, Pages

  Rodrguez, Jose F ^a   Renaud, John E ^a   Watson, Layne T ^b  

^a University of Notre Dame   (United States)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER AIDED DESIGN; CONSTRAINED OPTIMIZATION; NONLINEAR PROGRAMMING; SURFACE PROPERTIES;

APPROXIMATE OPTIMIZATION; AUGMENTED LAGRANGIAN METHODS; AUGMENTED LAGRANGIANS; LA-GRANGIAN APPROACHES; MULTI-DISCIPLINARY DESIGNS; OPTIMIZATION STRATEGY; RESPONSE SURFACE APPROXIMATION; SEQUENTIAL RESPONSE SURFACE;

LAGRANGE MULTIPLIERS;

EID: 0010883455     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC97/DAC-3773     Document Type: Conference Paper

References (46)

1. Alexandrov, N. and Dennis J. E., 1997,"A Class of General Trust-Region Multilevel Algorithms for Systems of Nonlinear Equations and Equality Constrained Optimization: Global Convergence Theory", Submitted to the SIAM Journal on Optimization.
2. Alexandrov, N., 1996,"Robustness Properties of a Trust Region Framework for Managing Approximations in Engineering Optimization", Proceedings of the 6th AIAA/NASA/USAF Multidisciplinary Analysis & Opti-mization Symposium, AIAA 96-4102, pp. 1056-1059, Bellevue, Washington, September 4-6.
3. Arora, J. S., Introduction to Optimum Design McGraw Hill, 1989.
4. Balabanov, V., Kaufman, M., Knill, D. L., Haim, D., Golovidov, O., Giunta, A. A., Haftka, R. T., Grossman, B., Mason, W. H., Watson, L. T., 1996"Dependence of Optimal Structural Weight on Aerodynamic Shape for a High Speed Civil Transport", Proceedings of the 6th AIAA/NASA/USAF Multidisciplinary Analysis & Opti-mization Symposium, AIAA 96-4046, pp. 599-613, Bellevue, Washington, September 4-6.
5. Bloebaum, C. L., Hong, W., Peck, A., 1994,"Improved Moved Limit Strategy for Approximate Optimization", Pro-ceedings of the Fifth AIAA/USAF/NASA/ISSMO Sym-posium AIAA 94-4337-CP, pp. 843-850, Panama City, Florida, September 7-9.
6. Burgee, S., Giunta A., Balabanov V., Grossman B., Mason W., Narducci R., Haftka R., Watson L., 1996,"A Coarse-Grained Parallel Variable-Complexity Multidisciplinary Optimization Paradigm", The International Jour-nal of Supercomputer Applications and High Performance Computing, Vol 10, pp. 269-299.
7. Chen, W., Allen, J. K., Schrage, D. P., Mistree, F., 1996,"Statistical Experimentation for Aordable Concurrent Design", Proceedings of the 6th AIAA/NASA/USAF Multidis-ciplinary Analysis & Optimization Symposium, AIAA 96-4085, pp. 921-930, Bellevue, Washington, September 4-6.
8. Chen, W., Simpson, T. W., Allen, J. K., Mistree, F., 1996,"Using Design Capability Indices to Satisfy Sets of Design Requirements", Proceedings of the 1996 ASME De-sign Engineering Technical Conference and Computers in Engineering Conference, ASME Paper 96-DETC / DAC-1090, CD-ROM Proceedings, ISBN 0-7918-1234-4, Irvine, CA, August 18-22.
9. Chen, W., Tsui, K. L., Allen, J. K., Mistree, F., 1995,"Integration of the Response Surface Methodology with the Compromise Decision Support Problem in Developing a General Robust Design Procedure", Proceedings of the 1995 ASME Design Engineering Technical Conferences, Advances in Design Automation, ASME DE-Vol. 82, pp. 485-492, eds. S. Azarma et al., Boston, Massachusetts, Sept17-21.
10. Chen, Ting-Yu, 1993,"Calculation of the Move Limits for the Sequential Linear Programming Method", Interac-tion Journal for Numerical Methods in Engineering, Vol 36, pp. 2661-2679.
11. Conn A. R., Gould N. I. M., Toint Ph. L., 1988,"Global Convergence of a Class of Trust Region Algorithms for Optimization with Simple Bounds", SIAM J. Numer. Ana, Vol 25, No. 2, pp. 433-464.
12. Conn A. R., Gould N. I. M., Toint Ph. L., 1988b,"Testing a Class of Methods for Solving Minimization Problems with Simple Bounds on the Variables", Mathematics of Computation, Vol 50 (182) pp. 399-430.
13. Conn A. R., Gould N. I. M., Toint Ph. L., 1991,"A Globally Convergent Augmented Lagrangian Algorithm for Optimization with General Constraints and Simple Bounds", SIAM J. Numer. Anal., Vol 28, No 2, 545-572.
14. Conn A. R., Gould N. I. M., Toint Ph. L., 1992, LANCELOT, a FORTRAN Package for Large-Scale Non-linear Optimization, Springer Verlag Series in Computational Mathematics, No 17, ISBN 0-387-55470-X.
15. Dennis, J. E., Torczon, T., 1996,"Approximation Model Management for Optimization", Proceedings of the 6th AIAA/NASA/USAF Multidisciplinary Analysis & Opti-mization Symposium, AIAA 96-4046, pp. 1044-1046, Bellevue, Washington, September 4-6.
16. Fadel G. M., Riley, M. F and Barthelemy, J. F. M., 1990,"Two Point Exponential Approximation Method for Structural Optimization", Structural Optimization, Vol. 2, pp. 117-124.
17. Giunta, A. A., Dudley, J. M., Narducci, R., Grossman, B., Haftka, R. T., Mason, W. H., Watson, L. T., 1994,"Noisy Aerodynamic Response and Smooth Approximations in HSCT Design", Proceedings of the Fifth AIAA/USAF/NASA/ISSMO Symposium, AIAA 94-4376, pp. 1117-1128, Panama City, Florida, September 7-9.
18. Grignon, P, Fadel, G. M., 1994,"Fuzzy Moved Limit Evaluation in Structural Optimization", Fifth AIAA/USAF/NASA/ISSMO Conference on Multidisci-plinary Analysis and Optimization, Panama City, Florida, September 7-9.
19. Hestenes M. R., 1969,"Multiplier and Gradient Methods", J. Optimization Theory and Applications, 4, 303-320.
20. Himmelblau, D. M., Applied Nonlinear Programming McGraw Hill, 1972.
21. IMSL MATH/LIBRARY. Fortran Subroutines for Mathematical Applications Vol III.
22. Kaufman M., Balabanov V., Burgee S., Giunta A., Grossman B., Haftka R., Mason W., Watson L., 1996,"Variable-Complexity Response Surface Approximations for Wing Structural Weight in HSCT Design", Computa-tional Mechanics, 18, 112-126.
23. Koch, P. N., Barlow, A., Allen, J. K., Mistree, F., 1996,"Configuring Turbine Propulsion Systems Using Robust Concept Exploration", Proceedings of the 1996 ASME De-sign Engineering Technical Conference and Computers in Engineering Conference, ASME Paper 96-DETC / DAC-1472, CD-ROM Proceedings, ISBN 0-7918-1234-4, Irvine, CA, August 18-22.
24. Lautenschlager U., Eschenauer, H. A., Mistree, F., 1996,"Components of Turbo Systems-A Proposal for Finding Better Layouts", Proceedings of the 6th AIAA/NASA/USAF Mul-tidisciplinary Analysis & Optimization Symposium, AIAA 96-4096, pp. 1025-1035, Bellevue, Washington, September 4-6.
25. Lewis, R. M., 1996,"A Trust Region Framework for Managing Approximation Models in Engineering Optimization", Proceedings of the 6th AIAA/NASA/USAF Multidis-ciplinary Analysis & Optimization Symposium, AIAA 96-4101, pp. 1053-1055, Bellevue, Washington, September 4-6.
26. Pourazady, M. and Fu, Z., 1996,"Integrated Approach to Structural Shape Optimization", Computers and Struc-tures, Vol. 60, n. 2, July 17, pp. 279-289.
27. Ragsdell, K. M., Phillips, D. T., 1975,"Optimal Design of a Class of Welded Structures Using Geometric Programming", ASME J. Eng. Ind. Ser., B, 98, (3), 1021-1025.
28. Reklaitis G. V., Ravindran A., Ragsdell K. M. Engi-neering Optimization Methods and Applications John Wiley and Sons, New York, 1983.
29. Renaud, J. E., Gabriele, G. A., 1994,"Approximation in Non-Hierarchic System Optimization", AIAA Journal, Vol, 32, No. 1, January, pp. 198-205, Editor-In-Chief, George W. Sutton, Published by the American Institute of Aeronautics and Astronautics, Washington, DC, USA.
30. Renaud, J. E., Gabriele, G. A., 1993,"Improved Coordination in Non-Hierarchic System Optimization", AIAA Journal, Vol, 31, No. 12, December, pp. 2367-2373, Editor-In-Chief, George W. Sutton, Published by the American Institute of Aeronautics and Astronautics, Washington, DC, USA.
31. Renaud, J. E., Gabriele, G. A., 1991,"Sequential Global Approximation in Non-Hierarchic System Decomposition and Optimization", Advances in Design Automation, Design Automation and Design Optimization, ASME Publi-cation DE-Vol. 32-1, G. Gabriel (Ed), pp. 191-200, 19th Design Automation Conference, Miami, Florida, Sept. 22-25.
32. Rockafellar R. T., 1973,"The Multiplier Method of Hestenes and Powell Applied to Convex Programming", J. Optimization Theory and Applications, 12, 555-562.
33. Roux, W. J., Stander, N., Haftka, R. T., 1996,"Re-sponse Surface Approximations for Structural Optimization", Proceedings of the 6th AIAA/NASA/USAF Multidis-ciplinary Analysis & Optimization Symposium, AIAA 96-4042, pp. 1053-1055, Bellevue, Washington, September 4-6.
34. Sellar, R. S., Batill, S. M., 1996c,"Concurrent Subspace Optimization Using Gradient-Enhanced Neural Network Approximations", Proceedings of the 6th AIAA/NASA/USAF Multidisciplinary Analysis & Opti-mization Symposium, AIAA 96-4019, pp. 319-330, Bellevue, Washington, September 4-6.
35. Sellar, R. S., Stelmack, M. A., Batill, S. M. and Renaud, J. E., 1996b,"Multidisciplinary Design and Analysis of an Integrated Aeroelastic/Propulsive System", 37th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dy-namics and Materials Conference, AIAA 96-1383, 583-594, Salt Lake City, Utah, April 15-17.
36. Sellar, R. S., Batill, S. M. and Renaud, J. E., 1996a,"A Neural Network-Based, Concurrent Subspace Optimization Approach to Multidisciplinary Design Optimization", 34th AIAA Aerospace Sciences Meeting, AIAA 96-1383, Reno, Nevada, January 15-18.
37. Sellar, R. S., Batill, S. M., Renaud, J. E., 1994,"Mixed Discrete/Continuous Optimization of Aircraft Systems Using Neural Networks", Proceedings of the Fifth AIAA/USAF/NASA/ISSMO Symposium, AIAA 94-4348, pp. 910-921, Panama City, Florida, September 7-9.
38. Simpson T. W., Chen, W., Allen, J. K., Mistree, F., 1996,"Conceptual Design of a Family of Products Through the Use of the Robust Exploration Method", Proceedings of the 6th AIAA/NASA/USAF Multidisciplinary Analysis & Optimization Symposium, AIAA 96-4161, pp. 1535-1545, Bellevue, Washington, September 4-6.
39. Swift, R. A., Batill, S. M., 1993,"Structural Design Space Definition Using Neural Networks and a Reduced Knowledge Base", AIAA/AHS/ASEE Aerospace Design Conference, AIAA Paper No 93-1034-CP, February.
40. Swift, R. A., Batill, S. M., 1992b,"Simulated Annealing Utilizing Neural Networks For Discrete Variable Optimization Problems In Structural Design", AIAA/ASME/ASCE/AHS/ASC 33rd Structures, Struc-tural Dynamics and Materials Conference, AIAA Paper No 92-2311-CP, Dallas, Texas, April 13-15.
41. Swift, R. A., Batill, S. M., 1992a,"Damage Tolerant Design Using Neural Networks", AIAA Aerospace design Con-ference, AIAA Paper No 92-1097-CP, February.
42. Swift, R. A., Batill, S. M., 1991,"Application of Neural Networks to Preliminary Structural Design", Proceedings of the AIAA/ASME/ASCE/AHS/ASC 32nd Structures, Structural Dynamics and Materials Conference, April.
43. Thomas, H. L., Vanderplaats, G. N., Shyy, Y. K., 1992,"A Study of Move Limit Adjustment Strategies in the Approximation Concepts Approach to Structural Synthesis", Proceedings of the Fourth AIAA/USAF/NASA/OAI Symposium on Multidisciplinary Analysis and Optimiza-tion, Cleveland, Ohio, pp. 507-512.
44. Venter, G., Haftka, R. T., Starnes, J. H., 1996,"Construction of Response Surfaces for Design Optimization Applications", Proceedings of the 6th AIAA/NASA/USAF Multidisciplinary Analysis & Optimization Symposium, AIAA 96-4040, pp. 548-564 Bellevue, WA, September 4-6.
45. Wujek, B. A., Renaud, J. E. Batill, S. M., 1997,"A Concurrent Engineering Approach for Multidisciplinary Design in a Distributed Computing Environment", Multidisci-plinary Design Optimization: State-of-the-Art, N. Alexandrov and M. Y. Hussaini (Ed.), Proceedings in Applied Mathematics 80, SIAM, Philadelphia.
46. Wujek, B., Renaud, J. E., Batill. S. M., Brockman, J. B., 1996,"Concurrent Subspace Optimization Using Design Variable Sharing in a Distributed Computing Environment", Concurrent Engineering: Research and Applications (CERA), December, Published by Technomic Publishing Company, Inc, USA.