Probabilistic analytical target cascading: A moment matching formulation for multilevel optimization under uncertainty

Journal of Mechanical Design

Volumn 128, Issue 4, 2006, Pages 991-1000

  Liu, Huibin ^a   Chen, Wei ^a   Kokkolaras, Michael ^b   Papalambros, Panos Y ^b   Kim, Harrison M ^c  

^a Northwestern University   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

^c UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Analytical target cascading; Coordination strategy; Design targets and consistency; Hierarchical multilevel optimization; Moments; Probabilistic approach; Uncertainty

Indexed keywords

COMPUTER SIMULATION; OPTIMIZATION; PROBABILITY; RANDOM PROCESSES; SYSTEMS ANALYSIS;

ANALYTICAL TARGET CASCADING; COORDINATION STRATEGY; HIERARCHICAL MULTILEVEL OPTIMIZATION; MULTILEVEL SYSTEM DESIGN; PROBABILISTIC APPROACH;

UNCERTAIN SYSTEMS;

EID: 33746405143     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2205870     Document Type: Article

References (46)

1. Balling, R. J., and Sobieszczanski-Sobieski, J., 1996, "Optimization of Coupled Systems: A Critical Overview of Approaches," AIAA J., 34(1), pp. 6-17.
2. Alexandrov, N. M., and Lewis, R. M., 1999, "Comparative Properties of Collaborative Optimization and Other Approaches to MDO," ICASE Report, No. 99-24, NASA/CR-1999-209354.
3. Cramer, E. J., Dennis, J. E., Frank, P. D., Lewis, R. M., and Shubin, G. R., 1994, "Problem Formulation for Multidisciplinary Optimization," SIAM J. Optim., 4(4), pp. 754-776.
4. Kroo, I., Altus, S., Braun, R., Gage, P., and Sobieski, I., 1994, "Multidisciplinary Optimization Methods for Aircraft Preliminary Design," 5th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, paper no. AIAA 94-4325, Panama City, Florida.
5. Braun, R. D., Kroo, I. M., and Moore, A. A., 1996, "Use of the Collaborative Optimization Architecture for Launch Vehicle Design," 6th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, paper no. AIAA 96-4018, Bellevue, WA.
6. Kroo, I., 1997, "MDO Application in Preliminary Design: Status and Directions," AIAA Pap. 97-1408.
7. Renaud, J. E., and Tappeta, R. V., 1997, "Multiobjective Collaborative Optimization," ASME J. Mech. Des., 119(3), pp. 403-411.
8. Kim, H. M., Michelena, N. F., Papalambros, P. Y., and Jiang, T., 2000, "Target Cascading in Optimal System Design," Proceedings of the ASME Design Engineering Technical Conferences, paper no. DETC 2000 /DAC-14265, Baltimore, MD, September 10-13, 2000, 2, pp. 293-302;
9. Also in 2003, ASME J. Mech. Des., 125(3), pp. 474-480.
10. Kim, H. M., 2001, Target Cascading in Optimal System Design, Ph.D. thesis, University of Michigan, Ann Arbor, Michigan.
11. Kim, H. M., Rideout, D. G., Papalambros, P. Y., and Stein, J. L., 2001, "Analytical Target Cascading in Automotive Vehicle Design," Proceedings of the ASME Design Engineering Technical Conferences, paper no. DETC 2001/DAC-21079, Pittsburgh, PA, 2, pp. 661-670;
12. Also in 2003, ASME J. Mech. Des., 125(3), pp. 481-489.
13. Kim, H. M., Kokkolaras, M., Louca, L. S., Delagrammatikas, G. J., Michelena, N. F., Filipi, Z. S., Papalambros, P. Y., Stein, J. L., and Assanis, D. N., 2002, "Target Cascading in Vehicle Redesign: A Class VI Truck Study," Int. J. Veh. Des., 29(3), pp. 199-225.
14. Kokkolaras, M., Fellini, R., Kim, H. M., Michelena, N. F., and Papalambros, P. Y., 2002, "Extension of the Target Cascading Formulation to the Design of Product Families," Struct. Multidiscip. Optim., 24(4), pp. 293-301.
15. Kokkolaras, M., Louca, L. S., Delagrammatikas, G. J., Michelena, N. F., Filipi, Z. S., Papalambros, P. Y., Stein, J. L., and Assanis, D. N., 2004, "Simulation-Based Optimal Design of Heavy Trucks by Model-Based Decomposition: An Extensive Analytical Target Cascading Case Study," International Journal of Heavy Vehicle Systems, 11(3,4), pp. 402-432.
16. Wagner, T. C., 1993, A General Decomposition Methodology for Optimal System Design, Ph.D. thesis, University of Michigan, Ann Arbor, Michigan.
17. Cooper, A., Georgiopoulos, P., Kim, H. M., and Papalambros, P. Y., 2003, "Analytical Target Setting: An Enterprise Context in Optimal Product Design," Proceedings of the ASME Design Engineering Technical Conferences, paper no. DETC 2003/DAC-48734, Chicago, IL.
18. Wassenaar, H. J., and Chen, W., 2003, "An Approach to Decision-Based Design with Discrete Choice Analysis for Demand Modeling," ASME J. Mech. Des., 125(3), pp. 490-497.
19. Gu, X., Renaud, J. E., and Batill, S. M., 1998, "An Investigation of Multidisciplinary Design Subject to Uncertainty," AIAA-1998-4747, 7th AIAA/USAF/NASA/ISSMO Multidisciplinary Analysis and Optimization Symposium, St. Louise, Missouri, 1998, pp. 309-319.
20. Chen, W., and Lewis, K., 1999, "Robust Design Approach for Achieving Flexibility in Multidisciplinary Design," AIAA J., 37(8), pp. 982-989.
21. Du, X., and Chen, W., 2002, "Efficient Uncertainty Analysis Methods for Multidisciplinary Robust Design," AIAA J., 40(3), pp. 545-552.
22. Batill, S., Renaud, J. E., and Gu, X., 2000, "Modeling and Simulation Uncertainty in Multidisciplinary Design Optimization," 8th AIAA/NASA/USAF/ISSMO Multidisciplinary Analysis and Optimization Conference and Exhibit, paper no. AIAA 2000-4803, Long Beach, California.
23. Padmanabhan, D., and Batill, S. M., 2000, "An Iterative Concurrent Subspace Robust Design Framework," Proceedings of 8th AIAA/NASA /USAF/ISSMO Multidisciplinary Analysis and Optimization Conference and Exhibit, paper no. AIAA-20002-0449, Long Beach, California.
24. Gurnani, A. P., and Lewis, K., 2004, "An Approach to Robust Decision Making in Multidisciplinary Selection Problems under Uncertainty," Proceedings of 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, August 30-September 1, 2004, Albany, New York.
25. Sues, R., Cesare, M., Pageau, S., and Wu, J., 2000, "Reliability Based MDO for Aerospace Systems," 8th Symposium on Multidisciplinary Analysis and Optimization, AIAA 2000-4804, Long Beach, California.
26. Chiralaksanakul, A., and Mahadevan, S., 2004, "Multidisciplinary Design Optimization Under Uncertainty," 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, paper no. AIAA-2004-4311, Albany, NY.
27. Kokkolaras, M., Mourelatos, Z. P., and Papalambros, P. Y., 2006, "Design Optimization of Hierarchically Decomposed Multilevel System under Uncertainty," ASME J. Mech. Des., 128(2), pp. 503-508. An earlier version was presented at the 2004 ASME Design Engineering Technical Conferences, paper no. DETC2004/DAC-57357.
28. Phadke, M. S., 1989, Quality Engineering Using Robust Design, Prentice Hall, Englewood Cliffs, New Jersey.
29. Kim, H., Kumar, D., Chen, W., and Papalambros, P. Y., 2004, "Target Feasibility Achievement in Enterprise-Driven Hierarchical Multidisciplinary Design," 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, paper no. AIAA-2004-4546, Albany, NY.
30. Allison, J., 2004, Complex System Optimization: A Comparison of Analytical Target Cascading, Collaborative Optimization, and Other Formulations, MS thesis, University of Michigan, Ann Arbor, Michigan.
31. Michalek, J. J., and Papalambros, P. Y., 2005, "Technical Brief: Weights, Norms, and Notation in Analytical Target Cascading," ASME J. Mech. Des., 127(3), pp. 499-501.
32. Ang, A.H.-S., and Tang, W. H., 1975, Probability Concepts in Engineering Planning and Design, Volume I-Basic Principles, Wiley, New York.
33. Du, X., and Chen, W., 2000, "Towards a Better Understanding of Modeling3 Feasibility Robustness in Engineering," ASME J. Mech. Des., 122(4), pp. 85-394.
34. Kalsi, M., Hacker, K., and Kemper, L., 2001, "A Comprehensive Robust Design Approach for Decision Trade-Offs in Complex Systems Design," ASME J. Mech. Des., 123, pp. 1-10.
35. McAllister, C. D., and Simpson, T. W., 2003, "Multidisciplinary Robust Design Optimization of an Internal Combustion Engine," ASME J. Mech. Des., 125, pp. 124-130.
36. Du, X., Sudjianto, A., and Chen, W., 2004, "An Integrated Framework for Optimization Using Inverse Reliability Strategy," ASME J. Mech. Des., 126(4), pp. 562-570.
37. Wassenaar, H. J., Chen, W., Cheng, J., and Sudjianto, A., 2003, "Enhancing Discrete Choice Demand Modeling for Decision-Based Design," ASME J. Mech. Des., 127(4), pp. 514-523.
38. Wassenaar, H. J., Chen, W., Cheng, J., and Sudjianto, A., 2004, "An Integrated Latent Variable Choice Modeling Approach to Enhancing Product Demand Modeling," Proceedings of the ASME Design Engineering Technical Conference, paper no. DETC2004-57487, Salt Lake City, UT.
39. Michelena, N., Park, H., and Papalambros, P., 2002, "Convergence Properties of Analytical Target Cascading," Proceedings of the 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, paper no. AIAA-2002-5506, Atlanta, GA;
40. Also in 2003, AIAA J., 41(5), pp. 897-905.
41. Haftka, R. T., and Watson, L. T., 2005, "Multidisciplinary Design Optimization with Quasiseparable Subsystems," Opt. Eng., 6, pp. 9-20.
42. Beightler, C. S., and Phillips, D. T., 1976, Applied Geometric Programming, Wiley, New York.
43. Tamhane, A. C., and Dunlop, D. D., 2000, Statistics and Data Analysis from Elementary to Intermediate, Prentice Hall, New Jersey.
44. Tosserams, S., Etman, L. F. P., Papalambros, P. Y., and Rooda, J. E., 2005, "An Augmented Lagrangian Relaxation for Analytical Target Cascading using the Alternating Directions Method of Multipliers," Proceedings of the 6th World Conference on Structural and Multidisciplinary Optimization, Rio de Janeiro, Brazil.
45. Kim, H. M., Chen, W., and Wiecek, M., 2005, "Lagrangian Coordination for Enhancing the Convergence of Analytical Target Cascading," Proceedings of the IFORS, Honolulu, Hawaii, USA.
46. Du, X, and Chen, W., 2004, "Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design," ASME J. Mech. Des., 126(2), pp. 225-233.