The GLOBAL optimization method revisited

Optimization Letters

Volumn 2, Issue 4, 2008, Pages 445-454

  Csendes, Tibor ^a   Pál, László ^b   Sendín, J Oscar H ^c   Banga, Julio R ^c  

^a UNIVERSITY OF SZEGED   (Hungary)

^b SAPIENTIA HUNGARIAN UNIVERSITY OF TRANSYLVANIA   (Romania)

^c INSTITUTO DE INVESTIGACIONES MARINAS   (Spain)

Author keywords

Clustering; Direct methods; Global optimization; Numerical tests

Indexed keywords

CONSTRAINED OPTIMIZATION; FUNCTION EVALUATION; MATHEMATICAL PROGRAMMING; OPTIMIZATION;

BLACK BOXES; CONSTRAINED GLOBAL OPTIMIZATION; GLOBAL OPTIMIZATION METHODS; MULTI-START; NUMERICAL COMPARISON; OBJECTIVE FUNCTION (OF); SPRINGER (CO); TECHNOLOGICAL ENVIRONMENT;

GLOBAL OPTIMIZATION;

EID: 45849127259     PISSN: 18624472     EISSN: 18624480     Source Type: Journal    
DOI: 10.1007/s11590-007-0072-3     Document Type: Article

References (25)

1. Balogh, J., Csendes, T., Stateva, R.P.: Application of a stochastic method to the solution of the phase stability problem: cubic equations of state. Fluid Phase Equilibria 212, 257-267 (2003)
2. Balogh, J., Csendes, T., Rapcsák, T.: Some global optimization problems on Stiefel manifolds. J. Global Optim. 30, 91-101 (2004)
3. Banga, J.R., Moles, C.G., Alonso, A.A.: Global Optimization of Bioprocesses using Stochastic and Hybrid Methods. In: Floudas, C.A., Pardalos, P.M. (eds.) Frontiers in Global Optimization, pp. 45-70. Springer, Berlin (2003)
4. Bánhelyi, B., Csendes, T., Garay, B.M.: Optimization and the Miranda approach in detecting horseshoe-type chaos by computer. Int. J. Bifurcat. Chaos 17, 735-748 (2007)
5. Bánhelyi, B., Csendes, T., Garay, B.M.: A verified optimization technique to bound topological entropy rigorously. In: Proceedings of the SCAN-2006 Conference. IEEE 10, (2007)
6. Boender, C.G.E., Rinnooy Kan, A.H.G., Timmer, G.T., Stougie, L.: A stochastic method for global optimization. Math. Program. 22, 125-140 (1982)
7. Csendes, T.: Nonlinear parameter estimation by global optimization-efficiency and reliability. Acta Cybern. 8, 361-370 (1988)
8. Csendes, T., Bánhelyi, B., Hatvani, L.: Towards a computer-assisted proof for chaos in a forced damped pendulum equation. J. Comput. Appl. Math. 199, 378-383 (2007)
9. Csendes, T., Garay, B.M., Bánhelyi, B.: A verified optimization technique to locate chaotic regions of Hénon systems. J. Global Optim. 35, 145-160 (2006)
10. Feo, T.A., Resende, M.G.C.: Greedy randomized adaptive search procedures. J. Global Optim. 6, 109-133 (1995)
11. Gill, P.E., Murray, W., Wright, M.H.: Practical Optimization. Academic, New York (1984)
12. Hirsch, M.J., Meneses, C.N., Pardalos, P.M., Resende, M.G.C.: Global optimization by continuous GRASP. Optim. Lett. 1, 201-212 (2007)
13. Hirsch, M.J., Pardalos, P.M., Resende, M.G.C.: Speeding up Continuous GRASP. Eur. J. Oper. Res. (2007) (submitted)
14. Horst, R., Pardalos, P.M. (eds): Handbook of Global Optimization. Kluwer, Dordrecht (1995)
15. Järvi, T.: A random search optimizer with an application to a max-min problem. Publications of the Institute for Applied Mathematics, University of Turku, No. 3, 1973
16. Markót, M.Cs., Csendes, T.: A new verified optimization technique for the "packing circles in a unit square" problems. SIAM J. Optim. 16, 193-219 (2005)
17. Moles, C.G., Banga, J.R., Keller, K.: Solving nonconvex climate control problems: pitfalls and algorithm performances. Appl. Soft Computing 5, 35-44 (2004)
18. Moles, C.G., Gutierrez, G., Alonso, A.A., Banga, J.R.: Integrated process design and control via global optimization-a wastewater treatment plant case study. Chem. Eng. Res. Des. 81, 507-517 (2003)
19. Mongeau, M., Karsenty, H., Rouzé, V., Hiriart-Urruty, J.-B.: Comparison of public-domain software for black-box global optimization. Optim. Methods Softw. 13, 203-226 (2000)
20. Rinnooy Kan, A.H.G., Timmer, G.T.: Stochastic Global Optimization Methods, Part I: Clustering Methods. Math. Program. 39, 27-56 (1987)
21. Rinnooy Kan, A.H.G., Timmer, G.T.: Stochastic Global Optimization Methods, Part II: Multi Level Methods. Math. Program. 39, 57-78 (1987)
22. Sendín, J.O.H., Banga, J.R., Csendes, T.: Extensions of a multistart clustering algorithm for constrained global optimization problems. Manuscript submitted for pubication. Available at http://www.inf.u-szeged.hu/ ~csendes/ReportGLOBALm.doc
23. Szabó, P.G., Markót, M.Cs., Csendes, T., Specht, E., Casado, L.G., García, I.: New Approaches to Circle Packing in a Square-With Program Codes. Springer, New York (2007)
24. Tóth, B., Csendes, T.: Empirical investigation of the convergence speed of inclusion functions. Reliable Computing 11, 253-273 (2005)
25. Tóth, B., Fernández, J., Csendes, T.: Empirical convergence speed of inclusion functions for facility location problems. J. Comput. Appl. Math. 199, 384-389 (2007)