Convergence using variable fidelity approximation data in a trust region managed augmented lagrangian approximate optimization

7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization

Volumn , Issue , 1998, Pages 749-768

  Rodriguez, 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

APPROXIMATION ALGORITHMS; LAGRANGE MULTIPLIERS; SAMPLING; SURFACE PROPERTIES;

APPROXIMATE OPTIMIZATION; AUGMENTED LAGRANGIAN APPROACH; AUGMENTED LAGRANGIANS; CENTRAL COMPOSITE DESIGNS; OPTIMIZATION ALGORITHMS; OPTIMIZATION PROBLEMS; OPTIMIZATION TEST PROBLEMS; RESPONSE SURFACE APPROXIMATION;

CONSTRAINED OPTIMIZATION;

EID: 84982318728     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1998-4801     Document Type: Conference Paper

References (49)

1. Alexandrov, N.; 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 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 &; Optimization Symposium (held at Bellevue, WA). Paper 96-4102, pp. 1056-1059.
3. 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 &; Optimization Symposium (held at Bellevue WA). Paper 96- 4046, pp. 599-613.
4. Bloebaum, C. L.; Hong, W., Peck, A. 1994: Improved Moved Limit Strategy for Approximate Optimization. Proceedings of the Fifth AIAA/USAF/NASA/ISSMO Symposium (held at Panama City, FL). Paper 94-4337-CP, pp. 843-850.
5. Burgee, S.; Giunta, A.; Balabanov, V.; Grossman, B.; Mason, W. H.; Narducci, R.; Haftka R. T.; Watson L. T. 1996: A coarse grained parallel variable-complexity multidisciplinary optimization paradigm. Internat. J. Supercomputer Appl. High Performance Comput. 10, 269-299.
6. Chang, J. Q.; Haftka, R. T.; Giles, G. L.; Kao, P. J. 1993: Sensitivity-Based Scaling for Approximating Structural Response. Journal of Aircraft, Vol. 30, No. 2, pp. 283-288.
7. Chen, W.; Alien, J. K.; Schrage, D. P.; Mistree, F. 1996: Statistical Experimentation for Af-fordable Concurrent Design. Proceedings of the 6th AIAA/NASA/USAF Multidisciplinary Analysis &; Optimization Symposium (held at Bellevue, WA). Paper 96-4085, pp. 921-930.
8. Chen, W.; Simpson, T. W.; Alien, J. K.; Mistree, F. 1996: Using Design Capability Indices to Satisfy Sets of Design Requirements. Proceedings of the 1996 ASME Design Engineering Technical Conference and Computers in Engineering Conference (held at Irvine, CA). Paper 96-DETC / DAC-1090, CD-ROM Proceedings, ISBN 0-7918-1234-4.
9. Chen, W.; Tsui, K. L.; Alien, 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 (held at Boston, Massachusetts). ASME DE-Vol. 82, pp. 485-492, (eds. S. Azarm et al.).
10. Chen, T. Y. 1993: Calculation of the Move Limits for the Sequential Linear Programming Method. International Journal for Numerical Methods in Engineering 36, 2661-2679.
11. Conn, A. R.; Could, N. I. M.; Toint, Ph. L. 1988: Global Convergence of a Class of Trust Region Algorithms for Optimization with Simple Bounds. SIAM J. Numer. Anal. 25, No. 2, 433-464.
12. 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. 28, No. 2, 545-572.
13. Conn, A. R.; Gould, N. I. M.; Toint, Ph. L. 1991: LANCELOT, a FORTRAN Package for Large-Scale Nonlinear Optimization. Springer Series in Computational Mathematics 17, Springer-Verlag, Berlin.
14. Dennis, J.E.; Torczon, T. 1996: Approximation Model Management for Optimization. Proceedings of the 6th AIAA/NASA/USAF Multidisciplinary Analysis &; Optimization Symposium (held at Bellevue, WA). Paper 96-4046, pp. 1044-1046.
15. Fadel, G. M.; Riley, M. F.; Barthelemy, J. F. M. 1990: Two Point Exponential Approximation Method for Structural Optimization. Structural Optimization 2, 117-124.
16. Giunta, A.; Balabanov, V.; Kaufman, M.; Burgee, S.; Grossman, B.; Haftka, R. T.; Mason, W. H.; Watson, L. T. 1996: Variable-complexity response surface design of an HSCT configuration. In: N. M. Alexandrov and M. Y. Hussaini (eds), Multidisciplinary Design Optimization, pp. 348-367. Philadelphia: SIAM.
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 (held at Panama City, FL). Paper 94-4376, pp. 1117-1128.
18. Grace, A. 1992: Optimization Toolbox for use with MATHLAB. The Math Works, Inc., Natick, MA.
19. Grignon, P.; Venkatesh V.; Fadel, G. M. 1994: Fuzzy Moved Limit Evaluation in Structural Optimization. Fifth AIAA/USAF/NASA/ISSMO Conference on Multidisciplinary Analysis and Optimization (held at Panama City, FL). Paper 94-4281.
20. Hestenes M. R. 1969: Multiplier and Gradient Methods. J. Optimization Theory and Applications 4, 303-320.
21. Himmelblau, D. M. 1972: Applied Nonlinear Programming. McGraw Hill, New York.
22. IMSL MATH/LIBRARY. Fortran Subroutines for Mathematical Applications, Vol 3. Houston, TX.
23. Koch, P. N.; Barlow, A.; Alien, J. K.; Mistree, F. 1996: Configuring Turbine Propulsion Systems Using Robust Concept Exploration. Proceedings of the 1996 ASME Design Engineering Technical Conference and Computers in Engineering Conference (held at Irvine, CA). Paper 96-DETC / DAC-1472, CD-ROM Proceedings, ISBN 0-7918-1234-4.
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 Multidisciplinary Analysis &; Optimization Symposium (held at Bellevue, WA). Paper 96-4096, pp. 1025-1035.
25. Lewis, R. M. 1996: A Trust Region Framework for Managing Approximation Models in Engineering Optimization. Proceedings of the 6th AIAA/-NASA/USAF Multidisciplinary Analysis &; Optimization Symposium (held at Bellevue, WA). Paper 96-4101, pp. 1053-1055.
26. Pourazady, M.; Fu, Z. 1996: Integrated Approach to Structural Shape Optimization. Computers and Structures 60, No. 2, 279-289.
27. Powell, M. J. D., 1969: A Method for Nonlinear Constraints in Minimization Problems, in Optimization, Ed. R. Fletcher, 283-298.
28. Renaud, J. E.; Gabriele, G. A. 1994: Approximation in Non-Hierarchic System Optimization. AIAA Journal 32, No. 1, 198-205.
29. Renaud, J. E.; Gabriele, G. A. 1993: Improved Coordination in Non-Hierarchic System Optimization. AIAA Journal 31, No. 12, 2367-2373.
30. 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 Publication DE-Vol. 32-1, G. Gabriel (Ed), pp. 191-200, 19th Design Automation Conference, Miami, FL, Sept. 22-25.
31. Rockafellar R. T. 1973: The Multiplier Method of Hestenes and Powell Applied to Convex Programming. J. Optimization Theory and Applications 12, 555-562.
32. Rodriguez, J. F.; Renaud, J. E.; Watson, L. T. 1997: Trust Region Augmented Lagrangian Methods for Sequential Response Surface Approximation and Optimization. Journal of Mechanical Design, Vol. 120, pp. 58-66.
33. Roux, W. J.; Stander, N.; Haftka, R. T. 1996: Response Surface Approximations for Structural Optimization. Proceedings of the 6th AIAA/-NASA/USAF Multidisciplinary Analysis &; Optimization Symposium (held at Bellevue, WA). Paper 96-4042, 1053-1055.
34. Sellar, R. S. 1997: Multidisciplinary Design Using Artificial Neural Networks for Discipline Coordination and System Optimization. Doctoral Dissertation, Department of Aerospace and Mechanical Engineering, University of Notre Dame, April.
35. 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 &; Optimization Symposium (held at Bellevue, WA). Paper 96-4019, pp. 319-330.
36. Sellar, R. S.; Stelmack, M. A.; Batill, S. M.; Renaud, J. E. 1996b: Multidisciplinary Design and Analysis of an Integrated Aeroelastic/Propulsive System. 37th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference (held at Salt Lake City, UT). Paper 96-1383, 583-594.
37. Sellar, R. S.; Batill, S. M.; Renaud, J. E. 1996a: A Neural Network-Based, Concurrent Subspace Optimization Approach to Multidisciplinary Design Optimization. 34th AIAA Aerospace Sciences Meeting (held at Reno, NV). Paper 96-1383.
38. 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 (held at Panama City, FL). Paper 94-4348, pp. 910-921.
39. Simpson T. W.; Chen, W.; Alien, 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 (held at Bellevue, WA). Paper 96-4161, pp. 1535-1545.
40. Sobieszczanski-Sobieski, J. 1990: Sensitivity of Complex, Internally Coupled Systems. AIAA Journal 28, No. 1, January.
41. Sobieszczanski-Sobieski, J. 1988: Optimization by Decomposition: A Step from Hierarchic to Non-Hierarchic Systems. Second NASA/Air Force Symposium on Recent Advances in Multidisciplinary Analysis and Optimization (held at Hampton, VA). NASA Conference Publication 3031, Part 1. 28-30.
42. 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 (held at Irvine, CA). Paper No. 93-1034-CP.
43. Swift, R. A.; Batill, S. M. 1992a: Simulated Annealing Utilizing Neural Networks For Discrete Variable Optimization Problems In Structural Design. AIAA/ASME/ASCE/AHS/ASC 33rd Structures, Structural Dynamics and Materials Conference (held at Dallas, TX). Paper No. 92-2311-CP.
44. Swift, R. A.; Batill, S. M. 1992b: Damage Tolerant Structural Design Using Neural Networks. AIAA Aerospace Design Conference and Exhibit (held at Irvine, CA). Paper No. 92-1097-CP.
45. 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 (held at Baltimore, Maryland), pp. 335-343.
46. 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 Optimization (held at Cleveland, OH), pp. 507-512.
47. 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 (held at Bellevue, WA). Paper 96-4040, pp. 548-564.
48. Wujek, B. A.; Renaud, J. E.; Batill, S. M. 1997: A Concurrent Engineering Approach for Multidisciplinary Design in a Distributed Computing Environment. In: N. Alexandrov and M.Y. Hussaini (eds), Multidisciplinary Design Optimization: State-of-the-Art, Proceedings in Applied Mathematics 80, pp. 189-208. Philadelphia: SIAM.
49. Wujek, B. A.; 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). Technomic Publishing Company, Lancaster, PA.