A constrained, globalized, and bounded Nelder-Mead method for engineering optimization

Structural and Multidisciplinary Optimization

Volumn 27, Issue 1-2, 2004, Pages 43-54

  Luersen, M A ^a,b   Le Riche, R ^c   Guyon, F ^d  

^a CNRS   (France)

^b LASD   (Brazil)

^c ECOLE DES MINES DE SAINT ETIENNE   (France)

^d UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

Composite laminated plates; Global constrained optimization; Nelder Mead method

Indexed keywords

COMPUTER SIMULATION; CONSTRAINT THEORY; EVOLUTIONARY ALGORITHMS; GLOBAL OPTIMIZATION; ITERATIVE METHODS; PLATES (STRUCTURAL COMPONENTS); PROBABILITY; PROBLEM SOLVING;

COMPOSITE LAMINATED PLATES; GLOBAL CONSTRAINED OPTIMIZATION; GLOBAL SEARCH ALGORITHMS; NELDER-MEAD METHOD;

LAMINATED COMPOSITES;

EID: 2642527803     PISSN: 1615147X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00158-003-0320-9     Document Type: Article

References (22)

1. Bäck, T. 1996: Evolutionary Algorithms in Theory and Practice. Oxford: Oxford University Press
2. Barhen, J.; Protopopescu, V.; Reister, D. 1997: TRUST: a deterministic algorithm for global constrained optimization. Science 276, 1094-1097
3. Berthelot, J.-M. 1999: Composite Materials: Mechanical Behavior and Structural Analysis, Mechanical Engineering Series. Berlin: Springer
4. Duda, O.R.; Hart, P.E.; Stork, D.G. 2001: Pattern Classification, 2nd edn. New York: John Wiley & Sons
5. Durand, N.; Alliot, J.-M. 1999: A combined Nelder-Mead simplex and genetic algorithm. Available at: http://www.recherche.enac.fr/opti/papers/
6. Goldberg, D.E.; Voessner, S. 1999: Optimizing global-local search hybrids. In: GECCO 99 - Genetic and Evolutionary Computation Conference (held in Orlando), pp. 220-228
7. Haftka, R.T.; Gürdal, Z. 1993: Elements of Structural Optimization, 3rd edn. Boston: Kluwer Academic Publishers
8. Hickernell, F.J.; Yuan, Y.-X. 1997: A simple multistart algorithm for global optimization. OR Trans. 1(2), 1-11
9. Hu, X.; Shonkwiller, R.; Spruill, M.C. 1994: Random Restarts in Global Optimization. Technical Report, School of Mathematics, Georgia Institute of Technology, Atlanta
10. Le Riche, R.; Guyon, F. 2001: Dual evolutionary optimization. In: Collet, P.; Lutton, E.; Schoenauer, M.; Fonlupt, C.; Hao, J.-K. (eds.) Artificial Evolution, Lecture Notes in Computer Science, No. 2310, selected papers of the 5th International Conference on Artificial Evolution (held in Le Creusot), pp. 281-294
11. Luersen, M.A.; Le Riche, R. 2001: Globalisation de l'Algorithme de Nelder-Mead: Application aux Composites. Technical Report, LMR, INSA de Rouen, France; in French
12. Michalewicz, Z.; Schoenauer, M. 1997: Evolutionary algorithms for constrained parameter optimization. Evolut. Comput. 4(1), 1-32
13. Minoux, M. 1986: Mathematical Programming: Theory and Algorithms. New York: John Wiley & Sons
14. Moscato, P. 1989: On Evolution, Search, Optimization, Genetic Algorithms and Martial Arts: Towards Memetic Algorithms. Caltech Concurrent Computation Program, C3P Report 826
15. Nelder, J.A.; Mead, R. 1965: A simplex for function minimization. Comput. J. 7, 308-313
16. Okamoto, M.; Nonaka, T.; Ochiai, S.; Tominaga, D. 1998: Nonlinear numerical optimization with use of a hybrid genetic algorithm incorporating the modified Powell method. Appl. Math. Comput. 91, 63-72
17. Rockafellar, R.T. 1976: Lagrange multipliers in optimization. In: Cottle R.W.; Lemke C.E. (eds.) Nonlinear Programming, Proc. SIAM-AMS, 9, 145-168
18. Shang, Y.; Wan, Y.; Fromherz, M.P.J.; Crawford, L. 2001: Toward adaptive cooperation between global and local solvers for continuous constraint problems. In: CP'01 Workshop on Cooperative Solvers in Constraints Programming (held in Pahos)
19. Syswerda, G. 1991: A study of reproduction in generational and steady state genetic algorithms. In: Rawlins, G.J.E. (ed.) Foundations of Genetic Algorithms. San Mateo: Morgan Kaufmann
20. Törn, A.A. 1978: A search-glustering approach to global optimization. In: Towards Global Optimization 2, pp. 49-62
21. Torn, A.A.; Zilinskas A. 1989: Global Optimization. Berlin: Springer-Verlag
22. Wright, M.H. 1996: Direct search methods: once scorned, now respectable. In: Dundee Biennial Conference in Numerical Analysis (held in Harlow), pp. 191-208