Optimal hierarchical decomposition synthesis using integer programming

Journal of Mechanical Design, Transactions of the ASME

Volumn 119, Issue 4, 1997, Pages 440-447

  Krishnamachari, R S ^a,b   Papalambros, P Y ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

^b BOEING COMPANY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; INTEGER PROGRAMMING; MATHEMATICAL MODELS; OPTIMAL SYSTEMS; PRESSURE VESSELS; VECTORS;

AUTOMOTIVE CALIPER DISC BRAKE; DECOMPOSITION SYNTHESIS; OPTIMAL DESIGN PROBLEM; SPEED REDUCER;

MACHINE DESIGN;

EID: 0031359904     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2826388     Document Type: Article

References (19)

1. Azarrn, S., and Li, W., 1989, “Multi-level Design Optimization Using Global Monotonicity Analysis,” ASME JOURNAL OF MECHANISMS, TRANSMISSIONS, AND AUTOMATION IN DESIGN, Vol. 113, No. 3, pp. 211-224.
2. Bryan, T., and Lorenzetti, M., eds., 1988, Physical Design Automation of VLSI Systems, Benjamin/Cummings, San Francisco.
3. Deo, N., 1990, Graph Theory With Applications to Engineering and Computer Science, Prentice-Hall of India, New Delhi.
4. Fourer, R., Gay, D., and Kernighan, B., 1993, AM PL: A Modeling Language for Mathematical Programming, The Scientific Press, South San Francisco.
5. Golinski, J., 1970, “Optimal Synthesis Problems Solved by Means of Nonlinear Programming and Random Methods,” Journal of Mechanisms, Vol. 5, pp. 287-309.
6. IBM, 1991, “Optimization Subroutine Library Guide and Reference,” IBM Corporation, N.Y.
7. Kernighan, B., and Lin, S., 1970, “An Efficient Heuristic Procedure for Partitioning Graphs,” /fell Systems Journal, Vol. 29, pp. 291-307.
8. Krishnamachari, R., andPapalambros, P., 1997. “Hierarchical Decomposition Synthesis in Optimal Systems Design,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 119, No. 4, pp. 448-457.
9. Lee, T., 1977, “Weight Minimization of a Speed Reducer,” ASME Paper No. 77-DET 163.
10. Michelena, N., and Papalambros, P., 1994, “A Network Reliability Approach to Optimal Decomposition of Design Problems,” ASME JOURNAL OH MECHANICAL Drsicin, Vol. 117, No. 3, pp. 433-440.
11. Michelena, N., and Papalambros, P., 1995, “Optimal Model-Based Panifioning of Powertrain System Design,” ASME JOURNAI. OF MI-CHANICAL DNSICN, VOL. 117, No. 4, pp. 499-505.
12. Murty, K., 1994, Operations Research: Deterministic Models, Prentice-Hall, Inc., Englewood Cliffs, New Jersey.
13. Papadimitriou, C., and Stciglitz, K., 1982, Combinatorial Optimization: Algorithms and Complexity, Prentice-Hall, Inc., Englewood Cliffs, New Jersey.
14. Papalambros, P., 1995, “Optimal Design of Mechanical Components and Systems,” ASME JOURNAL OH MRCHANICAL DESIGN, 50th Anniversary of the Design Engineering Division Issue, Vol. 117, pp. 55-62.
15. Papalambros, P., and Wilde, D., 1988, Principles of Optimal Design: Modeling and Computation, Cambridge U. Press, New York.
16. Sandgren, E., 1990, “Nonlinear Integer and Discrete Programming in Mechanical Design Optimization,” ASME JOURNAL OF MECHANICAL Design, Vol. 112, pp. 223-229.
17. Siddall, 1982, Optimal Engineering Design, Marcel Dekker, Inc., New York.
18. Wagner, T., 1993, “A General Decomposition Methodology for Optimal Systems Design,” Doctoral Dissertation, Department of Mechanical Engineering and Applied Mechanics, The University of Michigan. Ann Arbor, MI.
19. Wilde, D., 1978, Globally Optimal Design, Wiley, New York.