Solving nonlinear optimization problems by differential evolution with a rotation-invariant crossover operation using gram-schmidt process

Proceedings - 2010 2nd World Congress on Nature and Biologically Inspired Computing, NaBIC 2010

Volumn , Issue , 2010, Pages 526-533

  Takahama, Tetsuyuki ^a   Sakai, Setsuko ^b  

^a HIROSHIMA CITY UNIVERSITY   (Japan)

^b HIROSHIMA SHUDO UNIVERSITY   (Japan)

Author keywords

Crossover; Differential Evolution; Gram Schmidt process; Rotation invariant

Indexed keywords

BENCH-MARK PROBLEMS; CO-ORDINATE SYSTEM; CROSSOVER; CROSSOVER OPERATIONS; DIFFERENTIAL EVOLUTION; DIRECT SEARCH METHODS; FIXED COORDINATE SYSTEMS; GRAM-SCHMIDT; GRAM-SCHMIDT PROCESS; MULTI MODAL FUNCTION; MULTIPLE SEARCH; MUTATION OPERATIONS; NON-DIFFERENTIABLE; NON-LINEAR OPTIMIZATION PROBLEMS; OPTIMIZATION ALGORITHMS; OPTIMIZATION PROBLEMS; ORTHOGONAL VECTORS; ROTATION-INVARIANT; SEARCH PROCESS;

EVOLUTIONARY ALGORITHMS; OPTIMIZATION; ROTATION;

PROBLEM SOLVING;

EID: 79952764733     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/NABIC.2010.5716327     Document Type: Conference Paper

References (18)

1. R. Storn and K Price, " Differential evolution - A simple and efficient heuristic for global optimization over continuous spaces," Journal of Global Optimization, vol. 11, pp. 341-359, 1997 (Pubitemid 127502202)
2. K V. Price, R. M. Storn, and J. A. Lampinen, Differential Evolution: A Practical Approach to Global Optimization. Springer, 2005
3. U. K Chakraborty, Ed., Advances in Differential Evolution. Springer, 2008
4. I. Ono and S. Kobayashi, "A real coded genetic algorithm for function optimization using unimodal normal distributed crossover," in Proceedings of the 7th International Conference on Genetic Algorithms, 1997, pp. 246-253
5. S. Tsutsui, M. Yamamura, and T. Higuchi, " Multi-parent recombination with simplex crossover in real coded genetic algorithms," in Proc. of Genetic and Evolutionary Computation Conference(GECCO'99), 1999, pp. 657-664
6. Z. Michalewicz, Genetic algorithms + data structures = evolution programs (3rd ed.). London, UK: Springer-Verlag, 1996.
7. L. J. Eshelman and J. D. Schaffer, "Real-coded genetic algorithms and interval schemata," in Foundations of Genetic Algorithms 2, L. D. Whitley, Ed. San Mateo, CA: Morgan Kaufmann Publishers, 1993, pp. 187-202
8. T. Takahama, S. Sakai, and N. Iwane, "Solving nonlinear constrained optimization problems by the ε constrained differential evolution," in Proc. of the 2006 IEEE Conference on Systems, Man, and Cybernetics, Oct. 2006, pp. 2322-2327
9. T. Takahama and S. Sakai, "Reducing function evaluations in differential evolution using rough approximation-based comparison," in Proc. of the 2008 IEEE Congress on Evolutionary Computation, Jun. 2008, pp. 2307-2314
10. T. Takahama and S. Sakai, "Constrained optimization by the epsilon constrained differential evolution with an archive and gradient-based mutation," in Proc. of the 2010 IEEE Congress on Evolutionary Computation, Jul. 2010, pp. 1680-1688
11. T. Takahama and S. Sakai, " Efficient constrained optimization by the ε constrained adaptive differential evolution," in Proc. of the 2010 IEEE Congress on Evolutionary Computation, Jul. 2010, pp. 2052-2059
12. S. Kukkonen and J. Lampinen, "Constrained real-parameter optimization with generalized differential evolution," in Proc. of the 2006 IEEE Congress on Evolutionary Computation. Vancouver, BC, Canada: IEEE Press, 16-21 July 2006, pp. 207-214 (Pubitemid 47130499)
13. T. Takahama and S. Sakai, "Solving difficult constrained optimization problems by the c constrained differential evolution with gradient-based mutation," in Constraint-Handling in Evolutionary Optimization, E. Mezura-Montes, Ed. SpringerVerlag, 2009, pp. 51-72
14. Z. Jingqiao and A. C. Sanderson, "JADE: Adaptive differential evolution with optional external archive," IEEE Transactions on Evolutionary Computation, vol. 13, no. 5, pp. 945-958, Oct. 2009
15. Y.-W. Shang and Y.-H. Qiu, "A note on the extended rosenbrock function," Evolutionary Computation, vol. 14, no. 1, pp. 119-126,2006 (Pubitemid 43955275)
16. X. Yao, Y. Liu, and G. Lin, " Evolutionary programming made faster," IEEE Transactions on Evolutionary Computation, vol. 3, pp. 82-102, 1999
17. X. Yao, Y. Liu, K-H. Liang, and G. Lin, "Fast evolutionary algorithms," in Advances in evolutionary computing: theory and applications, A. Ghosh and S. Tsutsui, Eds. New York, NY, USA: Springer-Verlag New York, Inc., 2003, pp. 45-94
18. T. Takahama and S. Sakai, "Fast and stable constrained optimization by the ε constrained differential evolution," Pacific Journal of Optimization, vol. 5, no. 2, pp. 261-282, May 2009.