Cutting plane methods for analytical target cascading with augmented lagrangian coordination

Journal of Mechanical Design, Transactions of the ASME

Volumn 135, Issue 10, 2013, Pages

  Wang, Wenshan ^a   Blouin, Vincent Y ^a   Gardenghi, Melissa K ^b   Fadel, Georges M ^a   Wiecek, Margaret M ^c   Sloop, Benjamin C ^c  

^a Clemson University   (United States)

^b Bob Jones University   (United States)

^c CLEMSON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINED OPTIMIZATION; PROBLEM SOLVING;

ANALYTICAL TARGET CASCADING; AUGMENTED LAGRANGIAN RELAXATION; AUGMENTED LAGRANGIANS; COORDINATION METHODS; CUTTING-PLANE METHOD; DECOMPOSED PROBLEM; DECOMPOSITION APPROACH; ENGINEERING OPTIMIZATION PROBLEMS; HIERARCHICAL MULTILEVEL; LARGE-SCALE ENGINEERING;

LAGRANGE MULTIPLIERS;

EID: 84903773766     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.4024847     Document Type: Article

References (25)

1. Kim, H. M., Michelena, N. F., Papalambros, P. Y., and Jiang, T., 2003, "Target Cascading in Optimal System Design," ASME J. Mech. Des., 125(3), pp. 474-480.
2. Kim, H. M., 2001, "Target Cascading in Optimal System Design," Ph.D. thesis, University of Michigan, Ann Arbor.
3. Sobieszczanski-Sobieski, J., 1988, "Optimization by Decomposition: A Step From Hierarchic to Non-Hierarchic Systems," Proceedings of the 2nd NASA Air Force Symposium on Advances in Multidisciplinary Analysis and Optimization.
4. Braun, R. D., 1996, Collaborative Optimization: an Architecture for Large-Scale Distributed Design," Ph.D. thesis, Stanford University, Stanford, CA.
5. Sobieszczanski-Sobieski, J., Agte, J. S., and Sandusky, R. R., Jr., 2000, "Bi-Level Integrated System Synthesis," AIAA J., 38(1), pp. 164-172.
6. Haftka, R. T., and Watson, L. T., 2005, "Multidisciplinary Design Optimization With Quasi-Separable Subsystems," Optim. Eng., 6(1), pp. 9-20. (Pubitemid 41529599)
7. Demiguel, A. V., and Murray, W., 2006, "A Local Convergence Analysis of Bi-Level Decomposition Algorithms," Optim. Eng., 7(2), pp. 99-133.
8. 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. (Pubitemid 41341540)
9. 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. 0514021.
10. Bertsekas, D. P., 2003, Nonlinear Programming, 2nd ed., Athena Scientific, Nashua, NH.
11. Bazaraa, M. S., Sherali, H. D., and Shetty, C. M., 2006, Nonlinear Programming: Theory and Algorithms, 3rd ed., Wiley, Hoboken, NJ.
12. Blouin, V. Y., Lassiter, J., Wiecek, M. M., and Fadel, G. M., 2005, "Augmented Lagrangian Coordination for Decomposed Design Problems," Proceedings of the 6th World Congress on Structural and Multidisciplinary Optimization.
13. 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. (Pubitemid 44672236)
14. Blouin, V. Y., Samuels, H. B., Fadel, G. M., Haque, I. U., and Wagner, J. R., 2004, "Continuously Variable Transmission Design for Optimum Vehicle Performance by Analytical Target Cascading," Int. J. Heavy Veh. Syst., Spec. Issue Adv. Ground Veh. Simul., 11(2/3), pp. 327-348. (Pubitemid 40122219)
15. Michalek, J. J., and Papalambros, P. Y., 2005, "Technical Brief: Weights, Norms, and Notation in Analytical Target Cascading," ASME J. Mech. Des., 127(2), pp. 499-501. (Pubitemid 40843888)
16. Michalek, J. J., and Papalambros, P. Y., 2005, "An Efficient Weighting Update Method to Achieve Acceptable Inconsistency Deviation in Analytical Target Cascading," ASME J. Mech. Des., 127(3), pp. 206-214. (Pubitemid 40608473)
17. Tosserams, S., Etman, L. F. P., Papalambros, P. Y., and Rooda, J. E., 2006, "An Augmented Lagrangian Relaxation for Analytical Target Cascading Using the Alternating Directions Method of Multipliers," Struct. Multidiscip. Optim., 31(3), pp. 176-189. (Pubitemid 43261431)
18. Gasimov, R. N., 2002, "Augmented Lagrangian Duality and Nondifferentiable Optimization Methods in Non-Convex Programming," J. Global Optim., 24, pp. 187-203.
19. Tosserams, S., Etman, L. F. P., and Rooda, J. E., 2007, "An Augmented Lagrangian Decomposition Method for Quasi-Separable Problems in MDO," Struct. Multidiscip. Optim., 34(3), pp. 211-227. (Pubitemid 47185293)
20. Tzevelekos, N., Kokkolaras, M., Papalambros, P. Y., Hulshof, M. F., Etman, L. 7E. P., and Rooda J. E., 2003, "An Empirical Local Convergence Study of Alternative Coordination Schemes in Analytical Target Cascading," Proceedings of the 5th World Congress on Structural and Multidisciplinary Optimization, Lido di Jesolo, Venice, Italy.
21. Golinski, J., 1970, "Optimal Synthesis Problems Solved by Means of Nonlinear Programming and Random Methods," J. Mech., 5(3), pp. 287-309.
22. Padula, S. L., Alexandrov, N., and Green, L. L., 1996, "MDO Test Suite at NASA Langley Research Center," Technical Report No. 96-4028, Bellevue, Washington, September 4-6.
23. Allison, J. T., Kokkolaras, M., Zawislak, M., and Papalambros, P. Y., 2005, On the Use of Analytical Target Cascading and Collaborative Optimisation for Complex System Design," Proceedings of the 6th World Congress on Structural and Multidisciplinary Optimization, Rio de Janeiro, Brazil.
24. Bertsekas, D. P., 1999, Nonlinear Programming, Athena Scientific, Nashua, NH.
25. Goffin, J. L., 1977, "On Convergence Rates of Subgradient Optimization Methods," Math. Program., 13(1), pp. 329-347.