Efficient constrained optimization by the ε constrained adaptive differential evolution

2010 IEEE World Congress on Computational Intelligence, WCCI 2010 - 2010 IEEE Congress on Evolutionary Computation, CEC 2010

Volumn , Issue , 2010, Pages

  Takahama, Tetsuyuki ^a   Sakai, Setsuko ^b  

^a HIROSHIMA CITY UNIVERSITY   (Japan)

^b HIROSHIMA SHUDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE CONTROL; ALGORITHM PARAMETERS; ALGORITHM TRANSFORMATION; CONSTRAINED METHOD; CONSTRAINED PROBLEM; CONSTRAINT VIOLATION; DIFFERENTIAL EVOLUTION; HIGH-QUALITY SOLUTIONS; NEAR-OPTIMAL SOLUTIONS;

ADAPTIVE ALGORITHMS; ARTIFICIAL INTELLIGENCE; CONSTRAINED OPTIMIZATION; FUNCTION EVALUATION;

EVOLUTIONARY ALGORITHMS;

EID: 79959453983     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CEC.2010.5586545     Document Type: Conference Paper

References (37)

1. Z. Michalewicz, "A survey of constraint handling techniques in evolutionary computation methods," in Proc. of the 4th Annual Conference on Evolutionary Programming. Cambridge, Massachusetts: The MIT Press, 1995, pp. 135-155.
2. C. A. C. Coello, "Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: A survey of the state of the art," Computer Methods in Applied Mechanics and Engineering, vol. 191, no. 11-12, pp. 1245-1287, Jan. 2002.
3. T. Takahama and S. Sakai, "Constrained optimization by applying the α constrained method to the nonlinear simplex method with mutations," IEEE Trans. on Evolutionary Computation, vol. 9, no. 5, pp. 437-451, Oct. 2005.
4. 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.
5. T. Takahama and S. Sakai, "Solving difficult constrained optimization problems by the ε constrained differential evolution with gradient-based mutation," in Constraint-Handling in Evolutionary Optimization, E. Mezura-Montes, Ed. Springer-Verlag, 2009, pp. 51-72.
6. T. Takahama and S. Sakai, "Constrained optimization by the ε constrained differential evolution with dynamic ε-level control," in Advances in Differential Evolution, U. Chakraborty, Ed. Springer-Verlag, 2008, pp. 139-154.
7. T. Takahama and S. Sakai, "Constrained optimization by the ε constrained differential evolution with gradient-based mutation and feasible elites," in Proc. of the 2006 IEEE Congress on Evolutionary Computation, July 2006, pp. 308-315.
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, "Constrained optimization by ε constrained particle swarm optimizer with ε-level control," in Proc. of the 4th IEEE International Workshop on Soft Computing as Transdisciplinary Science and Technology (WSTST'05), May 2005, pp. 1019-1029. [Online]. Available: http://www.ints.info.hiroshimacu.ac.jp/~takahama/eng/papers/ePSO05c.pdf
10. T. Takahama, S. Sakai, and N. Iwane, "Constrained optimization by the ε constrained hybrid algorithm of particle swarm optimization and genetic algorithm," in Proc. of the 18th Australian Joint Conference on Artificial Intelligence, Dec. 2005, pp. 389-400, Lecture Notes in Computer Science 3809.
11. 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.
12. A. Homaifar, S. H. Y. Lai, and X. Qi, "Constrained optimization via genetic algorithms," Simulation, vol. 62, no. 4, pp. 242-254, 1994.
13. J. Joines and C. Houck, "On the use of non-stationary penalty functions to solve nonlinear constrained optimization problems with GAs," in Proc. of the first IEEE Conference on Evolutionary Computation, D. Fogel, Ed. Orlando, Florida: IEEE Press, 1994, pp. 579-584.
14. Z. Michalewicz and N. Attia, "Evolutionary optimization of constrained problems," in Proc. of the 3rd Annual Conference on Evolutionary Programming, A. Sebald and L. Fogel, Eds. River Edge, NJ: World Scientific Publishing, 1994, pp. 98-108.
15. C. A. C. Coello, "Use of a self-adaptive penalty approach for engineering optimization problems," Computers in Industry, vol. 41, no. 2, pp. 113-127, 2000.
16. B. Tessema and G. Yen, "A self adaptive penalty function based algorithm for constrained optimization," in Proceedings of the 2006 IEEE Congress on Evolutionary Computation, G. G. Yen, S. M. Lucas, G. Fogel, G. Kendall, R. Salomon, B.-T. Zhang, C. A. C. Coello, and T. P. Runarsson, Eds. Vancouver, BC, Canada: IEEE Press, 16-21 July 2006, pp. 246-253.
17. Y. Wang, Z. Cai, Y. Xhau, and W. Zeng, "An adaptive tradeoff model for constrained evolutionary computation," IEEE Trans. on Evolutionary Computation, vol. 12, no. 1, pp. 80-92, 2008.
18. K. Deb, "An efficient constraint handling method for genetic algorithms," Computer Methods in Applied Mechanics and Engineering, vol. 186, no. 2/4, pp. 311-338, 2000.
19. T. Takahama and S. Sakai, "Tuning fuzzy control rules by the α constrained method which solves constrained nonlinear optimization problems," Electronics and Communications in Japan, Part3: Fundamental Electronic Science, vol. 83, no. 9, pp. 1-12, Sept. 2000.
20. T. P. Runarsson and X. Yao, "Stochastic ranking for constrained evolutionary optimization," IEEE Trans. on Evolutionary Computation, vol. 4, no. 3, pp. 284-294, Sept. 2000.
21. E. Mezura-Montes and C. A. C. Coello, "A simple multimembered evolution strategy to solve constrained optimization problems," IEEE Trans. on Evolutionary Computation, vol. 9, no. 1, pp. 1-17, Feb. 2005.
22. S. Venkatraman and G. G. Yen, "A generic framework for constrained optimization using genetic algorithms," IEEE Trans. on Evolutionary Computation, vol. 9, no. 4, pp. 424-435, Aug. 2005.
23. E. Camponogara and S. N. Talukdar, "A genetic algorithm for constrained and multiobjective optimization," in 3rd Nordic Workshop on Genetic Algorithms and Their Applications (3NWGA), J. T. Alander, Ed. Vaasa, Finland: University of Vaasa, Aug. 1997, pp. 49-62.
24. P. D. Surry and N. J. Radcliffe, "The COMOGA method: Constrained optimisation by multiobjective genetic algorithms," Control and Cybernetics, vol. 26, no. 3, pp. 391-412, 1997.
25. C. A. C. Coello, "Constraint-handling using an evolutionary multiobjective optimization technique," Civil Engineering and Environmental Systems, vol. 17, pp. 319-346, 2000.
26. T. Ray, K. M. Liew, and P. Saini, "An intelligent information sharing strategy within a swarm for unconstrained and constrained optimization problems," Soft Computing - A Fusion of Foundations, Methodologies and Applications, vol. 6, no. 1, pp. 38-44, Feb. 2002.
27. T. P. Runarsson and X. Yao, "Evolutionary search and constraint violations," in Proc. of the 2003 Congress on Evolutionary Computation, vol. 2. Piscataway, New Jersey: IEEE Service Center, Dec. 2003, pp. 1414-1419.
28. A. H. Aguirre, S. B. Rionda, C. A. C. Coello, G. L. Lizárraga, and E. M. Montes, "Handling constraints using multiobjective optimization concepts," International Journal for Numerical Methods in Engineering, vol. 59, no. 15, pp. 1989-2017, Apr. 2004.
29. Y. Wang, Z. Cai, G. Cuo, and Z. Zhou, "Multiobjective optimization and hybrid evolutionary algorthm to solve constrained optimization problems," IEEE Trans. on Systems, Man and Cybernetics, Part B, vol. 37, no. 3, pp. 560-575, 2007.
30. R. Mallipeddi and P. N. Suganthan, "Ensemble of constraint handling techniques," IEEE Transactions on Evolutionary Computation, 2010, to appear.
31. A. K. Qin and P. N. Suganthan, "Self-adaptive differential evolution algorithm for numerical optimization," in Proc. of the 2005 IEEE Congress on Evolutionary Computation, 2005, pp. 1785-1791.
32. J. Brest, S. Greiner, B. Boskovic, M. Mernik, and V. Zumer, "Self-adapting control parameters in differential evolution: A comparative study on numerical benchmark problems," IEEE Transaction on Evolutionary Computation, vol. 10, no. 6, pp. 646-657, 2006.
33. Z. Yang, K. Tang, and X. Yao, "Self-adaptive differential evolution with neighborhood search," in Proc. of the 2008 IEEE Congress on Evolutionary Computation, 2008, pp. 1110-1116.
34. J. Teo, "Exploring dynamic self-adaptive populations in differential evolution," Soft Comput., vol. 10, no. 8, pp. 673-686, 2006.
35. E. Mezura-Montes and A. G. Palomeque-Ortiz, "Parameter control in differential evolution for constrained optimization," in Proc. of the 2009 IEEE Congress on Evolutionary Computation, 2009, pp. 1375-1382.
36. 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.
37. R. Farmani and J. A. Wright, "Self-adaptive fitness formulation for constrained optimization," IEEE Trans. on Evolutionary Computation, vol. 7, no. 5, pp. 445-455, Oct. 2003.