BB-ATC: Analytical target cascading using branch and bound for mixed-integer nonlinear programming

Proceedings of the ASME Design Engineering Technical Conference

Volumn 2006, Issue , 2006, Pages

  Michalek, Jeremy J ^a   Papalambros, Panos Y ^b  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Analytical target cascading; Design optimization; Mixed integer programming; Nonlinear programming

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; HIERARCHICAL SYSTEMS; INTEGER PROGRAMMING; OPTIMIZATION; PROBLEM SOLVING;

ANALYTICAL TARGET CASCADING (ATC); CONVEX FORMULATIONS; MIXED-INTEGER PROGRAMMING; OPTIMAL SOLUTIONS;

NONLINEAR PROGRAMMING;

EID: 33751327574     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2006-99040     Document Type: Conference Paper

References (22)

1. th World Congress on Structural and Multidisciplinary Optimization, May 30 - June 3, Rio de Janeiro, Brazil.
2. Bertsekas, D. (1999) Nonlinear Programming, Second Edition, Athena Scientific, Belmont, Massachusetts
3. Choudhary, R. (2004) A Hierarchical Optimization Framework for Simulation-Based Architectural Design, PhD Dissertation, University of Michigan, 2004.
4. Dakin, R.J. (1965) "A tree-search algorithm for mixed integer programming problems," The Computer Journal, v8 n3 p250-254.
5. Floudas, C.A. (1995) Nonlinear and mixed-integer optimization: Fundamentals and applications. New York, Oxford University Press.
6. Grossmann, I. (2002) "Review of nonlinear mixed-integer and disjunctive programming techniques," Optimization and Engineering, v3 p227-252.
7. Hibbeler, R. (1993) Statics and Mechanics of Materials, Macmillan Publishing Company, New Jersey.
8. Kim, H. M. (2001) Target Cascading in Optimal System Design, Ph.D. Dissertation, Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan.
9. Kim, H.M., W. Chen and M. M. Wiecek (2006) "Lagrangian dual coordination for analytical target cascading," in review AIAA Journal.
10. Kim, H.M., M. Kokkolaras, L.S. Louca, G.J. Delagrammatikas, N.F. Michelena, Z.S. Filipi, P.Y. Papalambros, J.L. Stein and D.N. Assanis (2002) "Target cascading in vehicle redesign: a class VI truck study," International Journal of Vehicle Design, v29 n3 p199-225.
11. Land, A.H. and A.G. Doig (1960) "An automatic method for solving discrete programming problems," Econometrica, v28 p497-520.
12. Lassiter, J., M. Weicek and K. Andrighetti (2005) "Lagrangian coordination and analytical target cascading: solving ATC-decomposed problems with Lagrangian duality," Optimization and Engineering, v6 p361-381.
13. Michalek, J.J., O. Ceryan, P.Y. Papalambros, and Y. Koren (2006) "Balancing marketability and manufacturability in product line design decision-making," ASME Journal of Mechanical Design, forthcoming.
14. Michalek, J.J., F.M. Feinberg and P.Y. Papalambros (2005) "Linking marketing and engineering product design decisions via analytical target cascading," Journal of Product Innovation Management, v22 p42-62.
15. Michalek, J.J. and P.Y. Papalambros (2005a) "An efficient weighting update method to achieve acceptable consistency deviation in analytical target cascading," ASME Journal of Mechanical Design, v127 p206-214.
16. Michalek, J.J. and P.Y. Papalambros (2005b) "Technical Brief: weighs, norms, and notation in analytical target cascading," ASME Journal of Mechanical Design, v 127 p499-501.
17. Michelena, N., H. Park, and P. Papalambros (2003) "Convergence Properties of Analytical Target Cascading," AIAA Journal, v41 n5 p897-905.
18. Salkin, H.M. (1975) Integer Programming, Addison-Wesley, Reading, Massachusetts.
19. Taha, H.A. (1975) Integer Programming, Academic Press, London.
20. Tosserams, S., L.F.P. Etman, P.Y. Papalambros and J.E. Rooda (2006a) "An augmented lagrangian relaxation for analytical target cascading using the alternating direction method of multipliers," Structural and Multidisciplinary Optimization, 31(3): 176-189.
21. Tosserams, S., L.F.P. Etman and J.E. Rooda (2006b) "An autmented lagrangian decomposition method for dual block-angular problems in MDO", Working Paper, Eindhoven University of Technology.
22. Wolsey, L. (1998) Integer Programming, John Wiley & Sons, New York.