Intuitive visualization of hyperspace pareto frontier for robustness in multi-attribute decision-making

Collection of Technical Papers - 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference

Volumn 2, Issue , 2006, Pages 729-742

  Agrawal, G ^a,c   Parashar, S ^b,c,d   Bloebaum, C L ^b,c,d  

^a Integral Information Systems   (United States)

^b the State University of New York   (United States)

^c AIAA   (United States)

^d UNIVERSITY AT BUFFALO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HYPER-SPACE DIAGONAL COUNTING (HSDC); HYPERSPACE PARETO FRONTIER (HPF); INTUITIVE VISUALIZATION; PARETO DATA;

DATA REDUCTION; DECISION MAKING; PARAMETER ESTIMATION; PROBLEM SOLVING; PRODUCT DESIGN; ROBUSTNESS (CONTROL SYSTEMS);

PARETO PRINCIPLE;

EID: 33846532401     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (26)

1. Agrawal, G., Lewis, K.E., Bloebaum, C.L., "Intuitive Visualization of Hyperspace Pareto Frontier," 44th AIAA Aerospace Sciences Meeting & Exhibit, Reno, NV, 2006, AIAA-2006-0726.
2. Agrawall, G., "The Hyperspaoe Pareto Frontier tor Intuitive Visualization of Multiobjective Optimization Problems," PhD Dissertation, State University of New York at Buffalo, 2005.
3. Inselberg, A., "Parallel Coordinates for Visualizing Multidimensional Geometry'," Proceedings of New Techniques and Technologies for Statistics, 1997, pp. 279-288.
4. Inselberg, A., "ParallAX: Software for Multidimensional Visualization and Automatic Classification," Multidimensional Graphs Ltd., Israel
5. Eddy, J. P., and Lewis, K., "Visualization of Multidimensional Design and Optimization Data Using Cloud Visualization," ASME Design Technical Conferences, Design Automation Conference, 2002, DETC2002/DAC-34130
6. Winer, E. H., and Bloebaum, C. L., "Development of Visual Design Steering As an Aid in Large-scale Multidisciplinary Design Optimization - Part I: Development," Structural and Multidisciplinary Optimization, Vol. 23, No. 6, 2002, pp. 412-424
7. Winer, E. H. and Bloebaum, C. L., "Development of Visual Design Steering As an Aid in Large-scale Multidisciplinary Design Optimization - Part II: Validation," Structural and Multidisciplinary Optimization, Vol. 23, No. 6, 2002, pp. 425-435
8. Mattson, C. A., Mullur, A. A., and Messac, A., "Smart Pareto Filter: Obtaining a Minimal Representation of Multiobjective Design Space," Engineering Optimization, Vol. 36, No. 6, 2004, pp. 721-740
9. Mattson, C. A. and Messac, A., "Concept Selection Using s-Pareto Frontiers," AIAA Journal, Vol. 41, No. 6, 2003, pp. 1190-1204
10. Stump, G. M., Yukish, M., Simpson, T. W., and Bennett, L., "Multidimensional Visualization and Its Application to a Design by Shopping Paradigm," 9th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimizution, Atlanta, GA, 2002, AIAA-2002-5622
11. th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Albany, NY, 2004, AIAA-2004-4434
12. th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference, Austin, TX, 2005, AIAA-2005-1813
13. Agrawal, G., Lewis, K.E., Bloebaum, C.L., "Hyperspace Pareto Frontier for Intuitive Visualization of Multiobjective Optimization Problems, ASME Journal of Mechanical Design (pending acceptance of revisions).
14. Li, M., Azarm, S., and Aute, V., "A Multi-Objective Genetic Algorithm for Robust Design Optimization," Proceedings of the 2005 Conference on Genetic and Evolutionary Computation GECCO' 05, Washington, DC, 2005.
15. Sundaresan, S., Ishii, K., and Houser, D. R., "A Robust Optimization Procedure with Variation on Design Variables and Constraints," Advances in Design Automation, Vol. 65-1, 1993, pp. 3715-386.
16. Hacker, K., and Lewis, K., "Robust Design Through The Use of A Hybrid Genetic Algorithm," Proceedings of the ASME 2002 Design Engineering Technical Conferences, Montreal, Canada, September, 2002.
17. Ray, Tapabrata, "Constrained Robust Optimal Design using a Multiobjective Evolutionary Algorithm," In Proceeding of Congress on Evolutionary Computation, IEEE press, 2002, pp. 419-424.
18. Srinivas, N., and Deb, K., "Multiobjective Optimization using Nondominated Sorting in Genetic Algorithm," Evolutionary Computation, Vol. 2, No. 3, 1994, pp. 221-248.
19. Gunawan, S., and Azarm, S., "Non-gradient Based Parameter Sensitivity Estimation for Single Objective Robust Design Optimization," Transactions of ASME Journal of Mechanical Design, Vol. 126, No. 3, 2004, pp. 395-402.
20. Gunawan, S., and Azarm, S., "On a Combined Multi-Objective and Feasibility Robustness Method for Design Optimization," Proceedings of 10th AIAA/ISSMO Multtdisciplinary Analysis and Optimization Conference, Albany, NY, September 2004.
21. Gunawan, S., and Azarm, S., "Multi-Objective Robust Optimization Using a Sensitivity Region Concept," Structural and Multidisciplinary Optimization, Vol. 29, No. 1, 2005, pp. 50-60.
22. Messac, A., "Physical Programming: Effective Optimization for Computational Design," AIAA Journal, Vol. 34, No. 1, 1996, pp. 149-158
23. Messac, A., and Chen, X., "Visualizing the Optimization Process in Real-Time Using Physical Programming," Engineering Optimization, Vol. 32, No. 5, 2000
24. Coello, C.A., and Christiansen, A.D., "Two New GA-Based Methods for Multiobjective Optimization," Civil Engineering Systems, 1998.
25. Deb, K., Agarwal, S., and Meyarivan, T., "A Fast and Elitist Multiobjective Algorithm: NSGA II," IEEE Transactions on Evolutionary Computation. Volume 6, No. 2, 2002.
26. Van Veldhuizen, D. A., "Multiobjective Evolutionary Algorithm: Classifications, Analyses, and New Innovations," Ph. D. Dissertation. Department of Electrical and Computer Engineering, Air Force Institute of Technology, Wright-Patterson AFB, Ohio, 1999.