Numerical comparison of multi-level optimization techniques

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn 3, Issue , 2007, Pages 2339-2369

  De Wit, A J ^a   Van Keulen, F ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Decomposition; Multi disciplinary design optimization; Multi level optimization; Overview

Indexed keywords

APPROXIMATION ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; FUNCTION EVALUATION; ITERATIVE METHODS;

CONCURRENT SUBSPACE OPTIMIZATION(CSSO); CONVERGENCE CURVES; OPTIMIZATION BY LINEAR DECOMPOSITION(OLD);

MULTIOBJECTIVE OPTIMIZATION;

EID: 34547524671     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2007-1895     Document Type: Conference Paper

References (37)

1. Sobieszczanski-Sobieski, J., "Sensitivity Analysis and Multidisciplinary Optimization for Aircraft Design: Recent Advances and Results," Journal of Aircraft, Vol. 27, No. 12, 1990, pp. 993-1001.
2. Wagner, T., A general decomposition methodology for optimal system design, Ph.D. thesis, The University of Michigan, 1993.
3. Balling, R. and Sobieszczanski-Sobieski, J., "Optimization of Coupled Systems: A Critical Overview of Approaches," American Institute of Aeronautics and Astronautics Journal, Vol. 34, 1996.
4. Sobieszczanski-Sobieski, J. and Haftka, R., "Multidisciplinary aerospace design optimization: survey of recent developments," Structural Optimization, Vol. 14, 1997, pp. 1-23.
5. Alexandrov, N. and Lewis, R., "Comparative Properties of Collaborative Optimization and Other Approaches to MDO." Tech. Rep. ICASE Report No. 99-24, Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Hampton, Virigina, July 1999.
6. Kodiyalam, S. and Sobieszczanski-Sobieski, J., "Multidisciplinary design optimization - some formal methods, framework requirements, and application to vehicle design," International Journal of Vehicle Design, Vol. 25, 2001, pp. 3-22.
7. Sobieszczanski-Sobieski, J., James, B., and Dovi, A., "Structural Optimization by Multilevel Decomposition," American Institute of Aeronautics and Astronautics Journal, Vol. 23, 1985, pp. 124-142.
8. Sobieszczanski-Sobieski, J., "A step from hierarchic to non-hierarchic systems." 2nd NASA Air Force symposium on recent advances in multidisciplinary analysis and optimization, September 1988.
9. Braun, R. and Kroo, 1., "Development and Application of the Collaborative Optimization Architecture in a Multidisciplinary Design environment," Multidisciplinary Design Optimization, State of the Art, edited by N. Alexandrov and M. Hussaini, Philadelphia: SIAM, 1997.
10. Sobieszczanski-Sobieski, J., Agte, J., and Sandusky J R, R., "Bi-level integrated system synthesis (BLISS)," AIAA-98-4916, 1998.
11. Kim, H. M., Michelena, N. F., Papalambros, P. Y., and .Hang, T., "Target cascading in optimal system design," Journal of Mechanical Design, Vol. 125, September 2003, pp. 474-480.
12. Haftka, R. and Watson, L., "Multidisciplinary Design Optimization with Quasiseparable Subsystems," Optimization and Engineering, Vol. 6, 2005, pp. 9-20.
13. Kodiyalam, S. and Yuan, C., "Evaluation of Methods for Multidisciplinary Design Optimization (MDO), Part 11," Tech. Rep. CR-2000-210313, NASA, November 2000.
14. Chen, S., Zhang, F., and Khalid, M., "Evaluation of three decomposition MDO algorithms," Published by the International Council of the Aeronautical Sciences ICAS 2002, 2002.
15. The MathWorks, I., "MATLAB, Version 7.3(R2006b),"
16. Bertsekas, D. and Tsitsiklis, J., Parallel and Distributed computation, Vol. 1, Prentice Hall, Englewood Cliffs, New Jersey, 1989.
17. Sobieszczanski-Sobieski, J., "Sensitivity of Complex, Internally Coupled Systems," AIAA Journal, Vol. 28, No. 1, 1990, pp. 153-160.
18. Bloebaum, C., "Coupling strenght-based system reduction for complex engineering design," Structural Optimization, Vol. 10, 1995, pp. 113-121.
19. Sobieszczanski-Sobieski, J., "A linear decomposition method for large optimization problems. Blueprint for development," Tech. Rep. NASA-TM-83248, NASA, Februari 1982.
20. Sobieszczanski-Sobieski, J., James, B., and Riley, M., "Structural sizing by generalized, multilevel optimization," American Institute of Aeronautics and Astronautics Journal, Vol. 25, 1987, pp. 139-145.
21. Sobieszczanski-Sobieski, J., "A technique for locating function roots and satisfying equality constraints in optimization." Structural Optimization, Vol. 4, 1992, pp. 241-243.
22. Sobieszczanski-Sobieski, J., Barthelemy, J. F., and Riley, K., "Sensitivity of optimum solutions of problem parameters." American Institute of Aeronautics and Astronautics Journal, Vol. 20, 1982, pp. 1291-1299.
23. Braun, R., Moore, A., and Kroo, I., "Collaborative Approach to Launch Vehicle Design," Journal of Spacecraft and Rockets, Vol. 34, No. 4, 1997, pp. 478-486.
24. Budianto, I. and Olds, J., "Design and Deployment of a Satellite Constellation using Collaborative Optimization," Journal of Spacecraft and Rockets, Vol. 41, No. 6, 2004, pp. 956-963.
25. Alexandrov, N. and Lewis, R., "Analytical and Computational Aspects of Collaborative Optimization for Multidisciplinary Design," AIAA Journal, Vol. 40, 2002.
26. DeMiguel, V. and Murray, W., "A local convergence analysis of bilevel decomposition algorithms," Optimization and Engineering, Vol. 7, 2006, pp. 99-133.
27. Kim, H., Target Cascading in Optimal System Design, Ph.D. thesis, The University of Michigan, 2001.
28. Michalek, J. and Papalambros, P., "Weights, Norms, and Notation in Analytical Target Cascading," Journal of Mechanical Design, Vol. 127, 2005, pp. 499-501.
29. Michelena, N., Park, H., and Papalambros, P., "Convergence Properties of Analytical Target Cascading," American Institute of Aeronautics and Astronautics Journal, Vol. 41, 2003, pp. 897-905.
30. Allison, J., Kokkolaras, M., and Papalambros, P., "On the impact of coupling strength on complex system optimization for single-level formulations," 2005 ASME Design Engineering Technical Conferences, No. DETC2005-84790, 2005.
31. Michalek, J. and Papalambros, P., "An efficient weighting update method to achieve acceptable consistency deviation in analytical target cascading," Journal of Mechanical Design, Vol. 127, 2005, pp. 206-214.
32. Kim, H., Chen, W., and Wiecek, M., "Lagrangian Coordination for Enhancing the Convergence of Analytical Target Cascading," American Institute of Aeronautics and Astronautics Journal, Vol. 44, No. 10, 2006, pp. 2197-2207,
33. Tosserams, S., Etman, L., and Rooda, J., "An augmented Lagrangian decomposition method for quasi-separable problems in MDO," Structural and Multidisciplinary Optimization, Vol. accepted, 2007.
34. Haftka, R. and Watson, L., "Multidisciplinary Design Optimization with Mixed Integer Quasiseparable Subsystems," Technical Report TR-04-14, Computer Science, Virginia Tech., 2004.
35. Schutte, J., Haftka, R., and Watson, L., "Decomposition and Two-level Optimization of Structures with Discrete Sizing Variables," American Institute of Aeronautics and Astronautics Journal, 2004.
36. Sobieszczanski-Sobieski, J., Altus, T., Phillips, M., and Sandusky, R., "Bilevel Integrated System Synthesis for Concurrent and Distibuted Processing," American Institute of Aeronautics and Astronautics Journal, Vol. 41, No. 10, October 2003, pp. 1996-2003.
37. Shankar, J., Ribbens, C., Haftka, R., and Watson, L., "Computational Study of a nonhierarchical decomposition algorithm," Computational Optimization and Applications, Vol. 2, 1993, pp. 273-293.