A note on the convergence of analytical target cascading with infinite norms

Journal of Mechanical Design

Volumn 132, Issue 3, 2010, Pages 0345021-0345026

  Han, Jeongwoo ^a   Papalambros, Panos Y ^b  

^a ARGONNE NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL EFFICIENCY; DESIGN AIDS; LINEAR PROGRAMMING;

ANALYTICAL TARGET CASCADING; COORDINATION STRATEGY; INFINITE NORMS; LINEAR PROGRAMMING ALGORITHM; MONOTONICITY; MULTI-DISCIPLINARY DESIGN OPTIMISATION; MULTILEVELS; OPTIMIZATION METHOD; SEQUENTIAL LINEAR PROGRAMMING; UNCERTAINTY;

HIERARCHICAL SYSTEMS;

EID: 77955213947     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.4001001     Document Type: Article

References (22)

1. Alexandrov, N. M., and Lewis, R. M., 2002, "Analytical and Computational Aspects of Collaborative Optimization for Multidisciplinary Design," AIAA J., 40(2), pp. 301-309.
2. Balling, R., and Sobieszczanski-Sobieski, J., 1996, "Optimization of Coupled Systems: A Critical Overview of Approaches," AIAA J., 34(1), pp. 6-17.
3. Braun, R., Kroo, I., and Moore, A., 1996, "Use of the Collaborative Optimization Architecture for Launch Vehicle Design," Proceedings of the Sixth AIAA, NASA, and ISSMO, Symposium on Multidisciplinary Analysis and Optimization, Bellevue, WA, Sept. 4-6, pp. 306-318.
4. Cramer, E. J., Dennis, J. E., Jr., Frank, P. D., Lewis, R. M., and Shubin, G. R., 1994, "Problem Formulation for Multidisciplinary Optimization," SIAM J. Optim., 4(4), pp. 754-776.
5. Kodiyalam, S., and Sobieszczanski-Sobieski, J., 2000, "Bilevel Integrated System Synthesis With Response Surfaces," AIAA J., 38(8), pp. 1479-1485.
6. Sellar, R. S., Batill, S. M., and Renaud, J. E., 1996, "Response Surface Based, Concurrent Subspace Optimization for Multidisciplinary System Design," 34th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, Jan. 15-18, Paper No. AIAA-1996-714.
7. Sobieski, I., and Kroo, I., 2000, "Collaborative Optimization Using Response Surface Estimation," AIAA J., 38(10), pp. 1931-1938.
8. Tappeta, R., and Renaud, J., 1997, "Multiobjective Collaborative Optimization," ASME J. Mech. Des., 119(3), pp. 403-411.
9. Kim, H. M., Michelena, N., Papalambros, P., and Jiang, T., 2003, "Target Cascading in Optimal System Design," ASME J. Mech. Des., 125(3), pp. 474-480.
10. Kokkolaras, M., Mourelatos, Z. P., and Papalambros, P. Y., 2006, "Design Optimization of Hierarchically Decomposed Multilevel Systems Under Uncertainty," ASME J. Mech. Des., 128(2), pp. 503-508.
11. Bertsekas, D. P., 1999, Nonlinear Programming, 2nd ed., Athena, Belmont, MA.
12. Michalek, J., and Papalambros, P., 2005, "An Efficient Weighting Update Method to Achieve Acceptable Consistency Deviation in Analytical Target Cascading," ASME J. Mech. Des., 127(2), pp. 206-214.
13. Tosserams, S., Etman, L., Papalambros, P., and Rooda, J., 2006, "An Augmented Lagrangian Relaxation for Analytical Target Cascading Using the Alternating Direction Method of Multipliers," Struct. Multidiscip. Optim., 31(3), pp. 176-189.
14. Lassiter, J. B., Wiecek, M. M., and Andrighetti, K. R., 2005, "Lagrangian Coordination and Analytical Target Cascading: Solving ATC-Decomposed Problems With Lagrangian Duality," Optim. Eng., 6(3), pp. 361-381.
15. Kim, H. M., Chen, W., and Wiecek, M. M., 2006, "Lagrangian Coordination for Enhancing the Convergence of Analytical Target Cascading," AIAA J., 44(10), pp. 2197-2207.
16. Li, Y., Lu, Z., and Michalek, J. J., 2008, "Diagonal Quadratic Approximation for Parallelization of Analytical Target Cascading," ASME J. Mech. Des., 130(5), p. 051402.
17. Fletcher, R., Leyffer, S., and Toint, P., 1998, "On the Global Convergence of an SLP-Filter Algorithm," Numerical Analysis Report No. NA/183.
18. Han, J., 2008, "Sequential Linear Programming Coordination Strategy for Deterministic and Probabilistic Analytical Target Cascading," Ph.D. thesis, University of Michigan, Ann Arbor, MI.
19. Han, J., and Papalambros, P. Y., 2010, "A Sequential Linear Programming Coordination Algorithm for Analytical Target Cascading," ASME J. Mech. Des., 132(2), p. 021003.
20. Han, J., and Papalambros, P. Y., 2010, "An SLP Filter Algorithm for Probabilistic Analytical Target Cascading," Struct. Multidiscip. Optim., in press.
21. Papalambros, P., and Wilde, D., 2000, Principles of Optimal Design: Modeling and Computation, 2nd ed., Cambridge University Press, Cambridge.
22. Michelena, N., Park, H., and Papalambros, P. Y., 2003, "Convergence Properties of Analytical Target Cascading," AIAA J., 41(5), pp. 897-905.