New Approximation Assisted Multi-objective collaborative Robust Optimization (new AA-McRO) under interval uncertainty

Structural and Multidisciplinary Optimization

Volumn 47, Issue 1, 2013, Pages 19-35

  Hu, Weiwei ^a   Azarm, Shapour ^a   Almansoori, Ali ^b  

^a UNIVERSITY OF MARYLAND   (United States)

^b KHALIFA UNIVERSITY   (United Arab Emirates)

Author keywords

Approximation; Collaborative optimization; Multi objective multidisciplinary optimization; Robust optimization

Indexed keywords

APPROXIMATION; COLLABORATIVE OPTIMIZATION; COMPUTATIONAL COSTS; CONSISTENCY CONSTRAINTS; CONSTRAINT FUNCTIONS; COUPLED SUBSYSTEMS; DESIGN SPACES; DETERMINISTIC OPTIMIZATION; ENGINEERING OPTIMIZATION PROBLEMS; FUNCTION CALLS; INPUT UNCERTAINTY; INTERVAL UNCERTAINTY; MULTI OBJECTIVE; MULTI-DISCIPLINARY OPTIMIZATIONS; MULTI-OBJECTIVE OPTIMIZATION PROBLEM; OBJECTIVE FUNCTIONS; OPTIMUM DESIGNS; PARETO OPTIMA; PENALTY TERM; ROBUST OPTIMIZATION; SINGLE OBJECTIVE OPTIMIZATION; SYSTEM LEVELS; SYSTEM ROBUSTNESS;

CONSTRAINED OPTIMIZATION; NUMERICAL METHODS; UNCERTAINTY ANALYSIS;

MULTIOBJECTIVE OPTIMIZATION;

EID: 84872000722     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-012-0816-2     Document Type: Article

References (35)

1. Ahn J, Kwon JH (2006) An efficient strategy for reliability-based multidisciplinary design optimization using BLISS. Struct Multidisc Optim 31(7):363-372 (Pubitemid 44775180)
2. Allison JT, Kokkolaras M, Papalambros PY (2009) Optimal partitioning and coordination decisions in decomposition-based design optimization. J Mech Des 131(10):081008-1-081008-8
3. Aute V, Azarm S (2006) A genetic algorithms based approach for multidisciplinary multiobjective collaborative optimization. In: Proceedings of the 11th AIAA/ISSMO multidisciplinary analysis and optimization conference. Portsmouth, VA
4. Azarm S, Li WC (1988) A two level decomposition method for design optimization. Eng Optim 13:211-224
5. Balling RJ, Sobieszczanski-Sobieski J (1996) Optimization of coupled systems: a critical overview of approaches. AIAA J 34(1):6-17 (Pubitemid 126499185)
6. Braun R, Kroo I (1996) Development and application of the collaborative optimization architecture in a multidisciplinary design environment. In: Alexandrov N, Hussaini M (eds) Multidisciplinary design optimization: state-of-the-Art, SIAM
7. Cramer E, Dennis J, Frank P, Lewis R, Shubin G (1994) Problem formulation for multidisciplinary optimization. SIAM J Optim 4:754-776
8. Deb K (2001) Multi-objective optimization using evolutionary algorithms. Wiley, Ltd, New York
9. DeMiguel A, Murray W (2006) A local convergence analysis of bilevel decomposition algorithms. Optim Eng 7(2):99-133
10. Elishakoff I, Haftka RT, Fang J (1994) Structural design under bounded uncertainty - optimization with anti-optimization. Comput Struct 53(8):1401-1405
11. Goldberg DE (1989) Genetic algorithms in search, optimization, and machine learning. Addison-Wesley
12. Gu X, Renaud JE, Penninger CL (2006) Implicit uncertainty propagation for robust collaborative optimization. J Mech Des 128(4):1001-1013 (Pubitemid 44123189)
13. Gunawan S, Azarm S, Wu J, Boyars A (2003) Quality-assisted multi-objective multidisciplinary genetic algorithms. AIAA J 41(11):1752-1762
14. Hu W, Azarm S, Almansoori A (2010) Approximation assisted multi-objective collaborative robust optimization (AA-McRO) under interval uncertainty. 13th AIAA/ISSMO multidisciplinary analysis and optimization conference. Forth worth, TX
15. Hu W, Li M, Azarm S, Almansoori A (2011) Improving multi-objective robust optimization under interval uncertainty using online approximation and constraint cuts. J Mech Des 133(8):061002-1-061002-9
16. Jang BS, Yang YS, Jung HS, Yeun YS (2005) Managing approximation models in collaborative optimization. Struct Multidisc Optim 30(1):11-26 (Pubitemid 40914439)
17. Kim HM, Michelena NF, Papalambros PY, Jiang T (2003) Target cascading in optimal system design. J Mech Des 125(3):474-480
18. Koehler JR, Owen AB (1996) Computer experiments. Handbook of statistics. Elsevier Science, New York, pp 261-308
19. Kokkolaras M, Mourelatos ZP, Papalambros PY (2006) Design optimization of hierarchically decomposed multilevel systems under uncertainty. J Mech Des 128(2):503-508
20. Kroo I, Manning V (2000) Collaborative optimization: status and directions. In: Proceedings of the 8th AIAA/NASA/ISSMO symposium on multidisciplinary analysis and optimization. Long Beach, CA
21. Li M, Azarm S (2008) Multiobjective collaborative robust optimization with interval uncertainty and interdisciplinary uncertainty propagation. J Mech Des 130(10):081402-1-081402-11
22. Li M, Hamel J, Azarm S (2010) Optimal uncertainty reduction for multi-disciplinary multi-output systems using sensitivity analysis. Struct Multidisc Optim 40:77-96
23. MATLAB (2011) MATLAB and simulink for technical computing. Mathworks, Version 2011a
24. McAllister CD, Simpson TW, Hacker K, Lewis K, Messac A (2005) Integrating linear physical programming within collaborative optimization for multiobjective multidisciplinary design optimization. Struct Multidisc Optim 29(3):178-189 (Pubitemid 40454162)
25. Renaud JE, Gabriele GA (1993) Improved coordination in nonhierarchic system optimization. AIAA J 31(14):2367-2373
26. Roth BD, Kroo IM (2008) Enhanced collaborative optimization: a decomposition-based method for multidisciplinary design. In: Proceedings of the ASME design engineering technical conferences. Brooklyn, NY
27. Simpson TW, Korte JJ, Mauery TM, Mistree F (2001) Kriging models for global approximation in simulation-based multidisciplinary design optimization. AIAA J 39(14):2233-2241 (Pubitemid 34023417)
28. Sobieszczanski-Sobieski J (1982) A linear decomposition method for large optimization problem - blueprint for development. NASA TM 83248
29. Sobieszczanski-Sobieski J (1998) Optimization by decomposition: a step from hierarchic to non-hierarchic systems. In: Proceedings of the 2nd NASA/Air force symposium on recent advances in multidisciplinary analysis and optimization. Hampton, VA
30. Sobieszczanski-Sobieski J, Agte J, Sandusky JR (2000) Bi-level integrated system synthesis (BLISS). AIAA J 38(1):164-172 (Pubitemid 32212304)
31. Sobieski IP, Manning VM, Kroo IM (1998) Response surface estimation and refinement in collaborative optimization. In: Proceedings of the 7th AIAA/USAF/NASA/ISSMO symposium multidisciplinary analysis and optimization. St. Louis, MO
32. Tappeta RV, Renaud JE (1997) Multiobjective collaborative optimization. J Mech Des 119(3):403-411 (Pubitemid 127709757)
33. Tosserams S, Etman LFP, Rooda JE (2009) A classification of methods for distributed system optimization based on formulation structure. Struct Multidisc Optim 39(7):503-517
34. Wu J, Azarm S (2001) Metrics for quality assessment of a multiobjective design optimization solution set. J Mech Des 123(1):18-25 (Pubitemid 33716175)
35. Zadeh P, Toropov V, Wood A (2009) Metamodel-based collaborative optimization framework. Struct Multidisc Optim 38(2):103-115