Approximation model building for design optimization using genetic programming methodology

7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization

Volumn , Issue , 1998, Pages 490-498

  Toropov, Vassili V ^a   Alvarez, Luis F ^a  

^a UNIVERSITY OF BRADFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

GENETIC ALGORITHMS; SURFACE PROPERTIES;

APPROXIMATION FUNCTION; APPROXIMATION MODEL; DESIGN OPTIMIZATION; MULTIPOINT APPROXIMATION; PROGRAMMING METHODOLOGY; RESPONSE SURFACE; RESPONSE SURFACE METHODOLOGY; TRUSS OPTIMIZATION;

GENETIC PROGRAMMING;

EID: 84983121583     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1998-4769     Document Type: Conference Paper

References (20)

1. Audze, P. and Eglais, V. New approach for planing out of experiments. Problems of Dynamics and Strengths, Vol. 35, 1977, Riga, Zinatne Publishing House, pp. 104-107 (in Russian).
2. Barthelemy, J.-F.M. and Haftka, R.T. Approximation concepts for optimum structural design - a review. Structural Optimization, 5, 129-144, 1993
3. Box, G.E.P. and Draper, N.R. Empirical model-building and response surfases. Wiley, 1987
4. Goldberg, D.E. Genetic algorithms in search, optimisation and machine learning. Addison- Wesley, Reading, MA, 1989
5. Gray, G.; Li, Y.; Murray-Smith, D. and Sharman, K. Structural system identification using genetic programming and a block diagram oriented simulation tool. Electronics Letters, vol.32, no.15, pp.1422-1424, 1996
6. Gray, G.; Murray-Smith, D.; Sharman, K. and Li, Y. Nonlinear model structure identification using genetic programming. In: Late-breaking papers of Genetic Programming '96 (GP '96), Stanford CA, July 1996
7. Haftka, RT. and Gurdal, Z. Elements of Structural Optimization, 3rd ed., Kluwer Academic Publishers, 1993, page 377
8. Kinnear, K.E. Advances in genetic programming, MIT Press, 1994
9. Koza, J.R. Genetic Programming: On the programming of computers by means of natural selection. MIT Press, 1992
10. Kuhlmann, H. and Hollick, M. Genetic programming in C/C++. CSE99/CIS899. Final Report, May 1995. URL: http://www.cis.upenn.edu/~hollick/genetic/pap er2.html
11. Madsen, K. and Hegelund, P. Non-gradient subroutines for non-linear optimization. Institute for Numerical Analysis, Technical University of Denmark, Report NI-91-05, June 1991
12. McKay, B.; Willis, M.J.; Hidden, H.G.; Montague, G.A. and Barton, G.W. Identification of industrial processes using genetic programming. In: Friswell, M.I.; Mottershead, J.E. (eds.). Proceedings of International Conference on Identification in Engineering Systems, Swansea, March 1996, pp. 328-337. The Cromwell Press Ltd, 1996
13. Rikards, R. Elaboration of optimal design models for objects from data of experiments. In: Optimal design with advanced materials, The Frithiof Niordson volume. Proceedings of the IUTAM Symposium, Lyngby, Denmark, 18-20 August 1992. Pedersen, P. (ed.), pp. 113-130, Elsevier, 1993
14. Roux, W.J.; Stander, N. and Haftka, R.T. Response surface approximations for structural optimization, AIAA paper 96-4042-CP, Proc. 6th AIAA/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Bellevue WA, September 4-6 1996, Part 2, pp. 565-578, AIAA, 1996
15. Schoofs, A.J.G. Experimental design and structural optimization. Ph.D. Thesis, Eindhoven University of Technology, The Netherlands, 1987
16. Sobieszanski-Sobieski, J. and Haftka, RT. Multidisciplinary aerospace design optimization: Survey of recent developments. Structural Optimization, v. 14, pp. 1-23, 1997
17. Toropov, V.V. Simulation approach to structural optimization, Structural Optimization, v. 1, 37-46, 1989
18. Toropov, V.V.; Filatov, A.A.; Polynkin, A.A. Multiparameter structural optimization using FEM and multipoint explicit approximations. Structural Optimization, vol. 6, 7-14, 1993
19. Toropov, V.V.; van Keulen, F.; Markine, V.L.; de Boer, H. Refinements in the multi-point approximation method to reduce the effects of noisy responses. 6th AIAA/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Bellevue WA, September 4-6 1996, Part 2, pp. 941-951, AIAA, 1996
20. van Keulen, F. and Toropov, V.V. New developments in structural optimization using adaptive mesh refinement and multi-point approximations, Engineering Optimization, v. 29, 217-234, 1997