Discrete nonlinear optimization by constraint decomposition and designer interaction

International Journal of Computer Applications in Technology

Volumn 12, Issue 2, 1999, Pages 233-244

  Khorshid, E ^a   Seireg, A ^b,c  

^a KUWAIT UNIVERSITY   (Kuwait)

^b University of Wisconsin Madison   (United States)

^c UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CONSTRAINT THEORY; NONLINEAR PROGRAMMING; PROBLEM SOLVING;

DECOMPOSITION BASED DESIGNS; DISCRETE NONLINEAR OPTIMIZATION; INTERACTIVE DESIGNS;

COMPUTER AIDED DESIGN;

EID: 0032684785     PISSN: 09528091     EISSN: None     Source Type: Journal    
DOI: 10.1504/ijcat.1999.000208     Document Type: Article

References (23)

1. Siddall, J.N. (1982) Optimal Engineering Design, Marcel Decker, New York, pp. 223-266.
2. Glover, F. and Sommer, D. (1975) 'Pitfall in rounding in discrete management decision variables', Decision Science, 22(4), pp. 455-460.
3. Cooper, L. and Cooper, M.W. (1975) 'Nonlinear integer programming', Computers and Mathematics With Applications, Vol. 1, pp. 215-222.
4. Cooper, M.W. and Farhangian, K. (1982) 'Nonlinear integer programming for various forms of constraints', Naval Research Logistics Quarterly, December, Vol. 29, No. 4, pp. 585-592.
5. Balasubramanian, R. and Babu, A.J. (1988) 'Reduction of dimensionality in dynamic programming-based solution methods for nonlinear integer programming', Int. J. on Math. and Math. Sci., Vol. 11, No. 4, pp. 811-814.
6. Li, H.L. (1992) 'An approximate method for local optima for nonlinear mixed integer programming problems', Vol. 19, No. 5, pp. 435-444.
7. Dong, K.S., Gurdal, Z. and Griffin, O.H. (1992) 'A penalty approach for nonlinear optimization with discrete design variables', Engineering Optimization, No. 16, pp. 29-42.
8. Balling, R.J. and May, S.A. (1990) 'Large scale structural optimization: simulated annealing, branch and bound and other techniques', Proc. 3rd Air Force/NASA Symp. On Recent. Adv. In Multi. Anal. And Optimization, San Francisco, Calif.
9. Chattopadhyay, A., McCarthy, T.R. and Seeley, C.E. (1996) 'Multiple design point optimization of high-speed proprotors', Journal of Aircraft, May-June. Vol. 33, No. 3, pp. 625-627, .
10. Huang, M.W. and Arora, J.S. (1995) 'Engineering optimization with discrete variables', AIAA/ASME/ ASCE/AHS Structures, Structural Dynamics and Materials Conference Collection of Technical Papers, Vol. 3, AIAA, New York, NY, USA, pp. 1475-1485.
11. Loh, H.T. and Papalambros, P.Y. (1991a) 'A sequential linearization approach for solving mixed discrete Nonlinear design optimization problems', Journal of Mechanical Design, ASME, September, Vol. 113, pp. 325-334.
12. Thanedar, P.B. and Vanderplaats, G.N. (1995) 'Survey of discrete variable optimization for structural design', Journal of Structural Engineering, Vol. 121, No. 2, pp. 301-305.
13. Land, M. and Doig, A. (1960) 'An automatic method for solving discrete programming problems', Econometrica, Vol. 28, pp. 497-520.
14. Dakin, R.J. (1965) 'A tree search algorithm for mixed integer programming problems', Computer Journal, Vol. 8, No. 3, pp. 250-255.
15. Gupta, O.K. and Ravindran, A. (1983) 'Nolinear integer programming and discrete optimization', ASME Journal of Mechanisms, Transmission and Automation in Design, No. 105, pp. 160-164.
16. Tseng, C., Wang, W. and Ling, S. (1995) 'Enhancing branch-and-bound method for structural optimization', Journal of Structural Engineering, May, pp. 831-837.
17. Arora, J.S., Huang, M.W. and Hsieh, C.C. (1994) 'Methods for optimization of nonlinear problems with discrete variables: a review', October, Journal of Structural Optimization, Vol. 8, pp. 69-85.
18. Hager, K. and Balling, R. (1988) 'New approach for discrete structural optimization', Journal of Structural Engineering. ASCE, Vol. 114, No. 5, pp. 1120-1134.
19. Kamat, M.P. and Mesquita, L. (1994) Nonlinear Mixed Integer Programming, Advances in Design Optimization, Edited by Adeli, H., Chapman and Hall, pp. 174-193.
20. Pomrehn, L.P. and Papalambros, P.Y. (1995a) 'Discrete optimal formulation with application to gear train design', ASME Journal of Mechanical Design, Vol. 117, No. 3, pp. 419-424.
21. Khorshid, E. and Seireg A. 'A procedure for the design of complex mechanical systems by decomposition', Int. J. of Computer Applications and Technology, Vol. 12, No. 2/3/4/5 pp. 131-144.
22. Khorshid, E. (1988) 'A procedure for the design of large scale systems by decomposition', PhD Thesis, University of Wisconsin-Madison.
23. Pomrehn, L.P. and Papalambros, P.Y. (1995b) 'Infeasibility and non-optimality tests for solution space reduction in discrete optimal design', ASME Journal of Mechanical Design, Vol. 117, No. 3, pp. 425-432.