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Volumn 10, Issue 6, 2006, Pages 658-675

A multiobjective optimization-based evolutionary algorithm for constrained optimization

Author keywords

Constrained optimization; Evolutionary algorithm (EA); Multiobjective optimization; Nondominated individuals

Indexed keywords

EQUALITY CONSTRAINTS; INEQUALITY CONSTRAINTS; NONDOMINATED INDIVIDUALS;

EID: 33947426462     PISSN: 1089778X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TEVC.2006.872344     Document Type: Article
Times cited : (358)

References (45)
  • 1
    • 25444524580 scopus 로고    scopus 로고
    • Evolutionary algorithm for constrained parameter optimization problems
    • Z. Michalewicz and M. Schoenauer, "Evolutionary algorithm for constrained parameter optimization problems," Evol. Comput., vol. 4, no. 1, pp. 1-32, 1996.
    • (1996) Evol. Comput , vol.4 , Issue.1 , pp. 1-32
    • Michalewicz, Z.1    Schoenauer, M.2
  • 2
    • 0037016631 scopus 로고    scopus 로고
    • Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: A survey of the state of the art
    • Jan
    • C. A. C. Coello, "Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: A survey of the state of the art," Comput. Methods Appl. Mech. Eng., vol. 191, no. 11-12, pp. 1245-1287, Jan. 2002.
    • (2002) Comput. Methods Appl. Mech. Eng , vol.191 , Issue.11-12 , pp. 1245-1287
    • Coello, C.A.C.1
  • 3
    • 0034268255 scopus 로고    scopus 로고
    • Test-case generator for constrained parameter optimization techniques
    • Aug
    • Z. Michalewicz, K. Deb, M. Schmidt, and T. Stidsen, "Test-case generator for constrained parameter optimization techniques," IEEE Trans. Evol. Comput., vol. 4, no. 3, pp. 197-215, Aug. 2000.
    • (2000) IEEE Trans. Evol. Comput , vol.4 , Issue.3 , pp. 197-215
    • Michalewicz, Z.1    Deb, K.2    Schmidt, M.3    Stidsen, T.4
  • 4
    • 0031118203 scopus 로고    scopus 로고
    • No free lunch theorems for optimization
    • Apr
    • D. H. Wolpert and W. G. Macready, "No free lunch theorems for optimization," IEEE Trans. Evol. Comput., vol. 1, no. 2, pp. 62-87, Apr. 1997.
    • (1997) IEEE Trans. Evol. Comput , vol.1 , Issue.2 , pp. 62-87
    • Wolpert, D.H.1    Macready, W.G.2
  • 5
    • 0042863389 scopus 로고    scopus 로고
    • Rank-density-based multiobjective genetic algorithm and benchmark test function study
    • Aug
    • H. Lu and G. G. Yen, "Rank-density-based multiobjective genetic algorithm and benchmark test function study," IEEE Trans. Evol. Comput., vol. 7, no. 4, pp. 325-343, Aug. 2003.
    • (2003) IEEE Trans. Evol. Comput , vol.7 , Issue.4 , pp. 325-343
    • Lu, H.1    Yen, G.G.2
  • 7
    • 84901471921 scopus 로고    scopus 로고
    • ASCHEA: New results using adaptive segregational constraint handling
    • May
    • S. B. Hamida and M. Schoenauer, "ASCHEA: New results using adaptive segregational constraint handling," in Proc. Congr. Evol. Comput., May 2002, vol. 1, pp. 884-889.
    • (2002) Proc. Congr. Evol. Comput , vol.1 , pp. 884-889
    • Hamida, S.B.1    Schoenauer, M.2
  • 8
    • 0000504963 scopus 로고    scopus 로고
    • Adaptive penalty methods for genetic optimization of constrained combinatorial problems
    • D. W. Coit, A. E. Smith, and D. M. Tate, "Adaptive penalty methods for genetic optimization of constrained combinatorial problems," Inf. J. Comput., vol. 8, no. 2, pp. 173-182, 1996.
    • (1996) Inf. J. Comput , vol.8 , Issue.2 , pp. 173-182
    • Coit, D.W.1    Smith, A.E.2    Tate, D.M.3
  • 9
    • 0142258075 scopus 로고    scopus 로고
    • Self-adaptive fitness formulation for constrained optimization
    • Oct
    • R. Farmani and J. A. Wright, "Self-adaptive fitness formulation for constrained optimization," IEEE Trans. Evol. Comput., vol. 7, no. 5, pp. 445-455, Oct. 2003.
    • (2003) IEEE Trans. Evol. Comput , vol.7 , Issue.5 , pp. 445-455
    • Farmani, R.1    Wright, J.A.2
  • 10
    • 0002625963 scopus 로고    scopus 로고
    • Genetic algorithm: A fitness formulation for constrained minimization
    • San Francisco, CA
    • J. A. Wright and R. Farmani, "Genetic algorithm: A fitness formulation for constrained minimization," in Proc. Genetic Evol. Comput. Conf., San Francisco, CA, 2001, pp. 725-732.
    • (2001) Proc. Genetic Evol. Comput. Conf , pp. 725-732
    • Wright, J.A.1    Farmani, R.2
  • 11
    • 0242611926 scopus 로고    scopus 로고
    • Materialized view selection as constrained evolutionary optimization
    • Aug
    • J. X. Yu, X. Yao, C. Choi, and G. Gou, "Materialized view selection as constrained evolutionary optimization," IEEE Trans. Syst., Man, Cybern. C, vol. 33, no. 4, pp. 458-467, Aug. 2003.
    • (2003) IEEE Trans. Syst., Man, Cybern. C , vol.33 , Issue.4 , pp. 458-467
    • Yu, J.X.1    Yao, X.2    Choi, C.3    Gou, G.4
  • 12
    • 0033094194 scopus 로고    scopus 로고
    • Evolutionary algorithm, homomorphous mappings, and constrained parameter optimization
    • S. Koziel and Z. Michalewicz, "Evolutionary algorithm, homomorphous mappings, and constrained parameter optimization," Evol. Comput., vol. 7, no. 1, pp. 19-44, 1999.
    • (1999) Evol. Comput , vol.7 , Issue.1 , pp. 19-44
    • Koziel, S.1    Michalewicz, Z.2
  • 13
    • 0000982424 scopus 로고
    • Using genetic algorithm in engineering design optimization with nonlinear constraint
    • S. Forrest, Ed, San Mateo, CA, Jul
    • D. Powell and M. M. Skolnick, "Using genetic algorithm in engineering design optimization with nonlinear constraint," in Proc. 5th Int. Conf. Genetic Algorithms, S. Forrest, Ed., San Mateo, CA, Jul. 1993, pp. 424-431.
    • (1993) Proc. 5th Int. Conf. Genetic Algorithms , pp. 424-431
    • Powell, D.1    Skolnick, M.M.2
  • 14
    • 0033729054 scopus 로고    scopus 로고
    • An efficient constraint handling method for genetic algorithms
    • K. Deb, "An efficient constraint handling method for genetic algorithms," Comput. Methods Appl. Mech. Eng., vol. 186, no. 2/4, pp. 311-338, 2000.
    • (2000) Comput. Methods Appl. Mech. Eng , vol.186 , Issue.2-4 , pp. 311-338
    • Deb, K.1
  • 16
    • 14844307657 scopus 로고    scopus 로고
    • A simple multimembered evolution strategy to solve constrained optimization problems
    • Feb
    • E. Mezura-Montes and C. A. C. Coello, "A simple multimembered evolution strategy to solve constrained optimization problems," IEEE Trans. Evol. Comput., vol. 9, no. 1, pp. 1-17, Feb. 2005.
    • (2005) IEEE Trans. Evol. Comput , vol.9 , Issue.1 , pp. 1-17
    • Mezura-Montes, E.1    Coello, C.A.C.2
  • 17
    • 0034266683 scopus 로고    scopus 로고
    • Stochastic ranking for constrained evolutionary optimization
    • Sep
    • T. P. Runarsson and X. Yao, "Stochastic ranking for constrained evolutionary optimization," IEEE Trans. Evol. Comput., vol. 4, no. 3, pp. 284-294, Sep. 2000.
    • (2000) IEEE Trans. Evol. Comput , vol.4 , Issue.3 , pp. 284-294
    • Runarsson, T.P.1    Yao, X.2
  • 18
    • 18544389856 scopus 로고    scopus 로고
    • Search biases in constrained evolutionary optimization
    • May
    • _, "Search biases in constrained evolutionary optimization," IEEE Trans. Syst., Man, Cybern. C, vol. 35, no. 2, pp. 233-243, May 2005.
    • (2005) IEEE Trans. Syst., Man, Cybern. C , vol.35 , Issue.2 , pp. 233-243
    • Runarsson, T.P.1    Yao, X.2
  • 19
    • 85041126163 scopus 로고    scopus 로고
    • Treating constraints as objectives for single-objective evolutionary optimization
    • C. A. C. Coello, "Treating constraints as objectives for single-objective evolutionary optimization," Eng. Opt., vol. 32, no. 3, pp. 275-308, 2000.
    • (2000) Eng. Opt , vol.32 , Issue.3 , pp. 275-308
    • Coello, C.A.C.1
  • 20
    • 0000599395 scopus 로고
    • Multiple objective optimization with vector evaluated genetic algorithms
    • J. Grefenstette, Ed, Hillsdale, NJ
    • J. D. Schaffer, "Multiple objective optimization with vector evaluated genetic algorithms," in Proc. 1st Int. Conf. Genetic Algorithms and Their Applications, 3. J. Grefenstette, Ed., Hillsdale, NJ, 1985, pp. 93-100.
    • (1985) Proc. 1st Int. Conf. Genetic Algorithms and Their Applications , vol.3 , pp. 93-100
    • Schaffer, J.D.1
  • 21
    • 0442289111 scopus 로고    scopus 로고
    • Constraint-handling in genetic algorithms through the use of dominance-based tournament Selection
    • C. A. Coello Coello and E. Mezura-Montes, "Constraint-handling in genetic algorithms through the use of dominance-based tournament Selection," Advanced Eng. Inform., vol. 16, no. 3, pp. 193-203, 2002.
    • (2002) Advanced Eng. Inform , vol.16 , Issue.3 , pp. 193-203
    • Coello Coello, C.A.1    Mezura-Montes, E.2
  • 23
    • 0034351369 scopus 로고    scopus 로고
    • Constraint handling using an evolutionary multiobjective optimization technique
    • C. A. C. Coello, "Constraint handling using an evolutionary multiobjective optimization technique," Civil Eng. Environ. Syst., vol. 17, pp. 319-346, 2000.
    • (2000) Civil Eng. Environ. Syst , vol.17 , pp. 319-346
    • Coello, C.A.C.1
  • 24
    • 0031701082 scopus 로고    scopus 로고
    • Multiobjective optimization and multiple constraint handling with evolutionary algorithms - Part I: A unified formulation
    • Jan
    • C. M. Fonseca and P. J. Fleming, "Multiobjective optimization and multiple constraint handling with evolutionary algorithms - Part I: A unified formulation," IEEE Trans. Syst., Man, Cybern., vol. 28, no. 1, pp. 26-37, Jan. 1999.
    • (1999) IEEE Trans. Syst., Man, Cybern , vol.28 , Issue.1 , pp. 26-37
    • Fonseca, C.M.1    Fleming, P.J.2
  • 25
    • 0031534728 scopus 로고    scopus 로고
    • The COMOGA method: Constrained optimization by multiobjective genetic algorithm
    • P. D. Surry and N. J. Radcliffe, "The COMOGA method: Constrained optimization by multiobjective genetic algorithm," Control Cybern., vol. 26, no. 3, pp. 391-412, 1997.
    • (1997) Control Cybern , vol.26 , Issue.3 , pp. 391-412
    • Surry, P.D.1    Radcliffe, N.J.2
  • 27
    • 0034199912 scopus 로고    scopus 로고
    • Approximating the nondominated front using the Pareto archived evolutionary strategy
    • J. D. Knowles and D. W. Corne, "Approximating the nondominated front using the Pareto archived evolutionary strategy," Evol. Comput., vol. 8, no. 2, pp. 149-172, 2000.
    • (2000) Evol. Comput , vol.8 , Issue.2 , pp. 149-172
    • Knowles, J.D.1    Corne, D.W.2
  • 28
    • 84868274897 scopus 로고    scopus 로고
    • A numerical comparison of some multiobjective-based techniques to handle constraints in genetic algorithms, Evol. Comput. Group, CINVESTAV, Sección de Computación, Dept. de Ingeniería Eléctrica, CINVESTAV-IPN, México D.F., Mexico
    • Tech. Rep. EVOCINV-01-2003
    • E. Mezura-Montes and C. A. C. Coello, A numerical comparison of some multiobjective-based techniques to handle constraints in genetic algorithms, Evol. Comput. Group, CINVESTAV, Sección de Computación, Dept. de Ingeniería Eléctrica, CINVESTAV-IPN, México D.F., Mexico, Tech. Rep. EVOCINV-01-2003.
    • Mezura-Montes, E.1    Coello, C.A.C.2
  • 30
    • 0036530772 scopus 로고    scopus 로고
    • A fast and elitist nondominated sorting genetic algorithm for multi-objective optimization: NSGA II
    • Apr
    • K. Deb, A. Pratab, S. Agrawal, and T. Meyarivan, "A fast and elitist nondominated sorting genetic algorithm for multi-objective optimization: NSGA II," IEEE Trans. Evol. Comput., vol. 6, pp. 182-197, Apr. 2002.
    • (2002) IEEE Trans. Evol. Comput , vol.6 , pp. 182-197
    • Deb, K.1    Pratab, A.2    Agrawal, S.3    Meyarivan, T.4
  • 32
    • 33947366107 scopus 로고    scopus 로고
    • On the usefulness of the evolution strategies self-adaptation mechanism to handle constraints in global optimization, Evol. Comput. Group, CINVESTAV, Sección de Computación, Dept. de Ingeniería Eléctrica, CINVESTAV-IPN, Mexico D.F., México
    • Tech. Rep. EVOCINV-01-2003, Online, Available
    • E. Mezura-Montes and C. A. C. Coello, On the usefulness of the evolution strategies self-adaptation mechanism to handle constraints in global optimization, Evol. Comput. Group, CINVESTAV, Sección de Computación, Dept. de Ingeniería Eléctrica, CINVESTAV-IPN, Mexico D.F., México, Tech. Rep. EVOCINV-01-2003. [Online]. Available: http://www.cs.cinvestav.mx/constraint/
    • Mezura-Montes, E.1    Coello, C.A.C.2
  • 33
    • 0342834367 scopus 로고    scopus 로고
    • Evolutionary strategies of optimization
    • Jul
    • T. Asselmeyer, W. Ebeling, and H. Rose, "Evolutionary strategies of optimization," Phys. Rev. E, vol. 56, no. 1, pp. 1171-1180, Jul. 1997.
    • (1997) Phys. Rev. E , vol.56 , Issue.1 , pp. 1171-1180
    • Asselmeyer, T.1    Ebeling, W.2    Rose, H.3
  • 35
    • 0035375260 scopus 로고    scopus 로고
    • A comparison study of self-adaptation in evolution strategies and real-coded genetic algorithms
    • H. Kita, "A comparison study of self-adaptation in evolution strategies and real-coded genetic algorithms," Evol. Comput., vol. 9, no. 2, pp. 223-241, 2001.
    • (2001) Evol. Comput , vol.9 , Issue.2 , pp. 223-241
    • Kita, H.1
  • 36
    • 33947358760 scopus 로고    scopus 로고
    • K. Deb, A population-based algorithm-generator for real-parameter optimization, KanGAL Rep. 2003003.
    • K. Deb, A population-based algorithm-generator for real-parameter optimization, KanGAL Rep. 2003003.
  • 37
    • 0002482930 scopus 로고    scopus 로고
    • Multi-parent recombination with simplex crossover in real coded genetic algorithms
    • S. Tsutsui, M. Yamamure, and T. Higuchi, "Multi-parent recombination with simplex crossover in real coded genetic algorithms," in Proc. Genetic and Evol. Comput. Conf., 1999, pp. 657-664.
    • (1999) Proc. Genetic and Evol. Comput. Conf , pp. 657-664
    • Tsutsui, S.1    Yamamure, M.2    Higuchi, T.3
  • 38
    • 0041861379 scopus 로고    scopus 로고
    • Society and civilization: An optimization algorithm based on the simulation of social behavior
    • Aug
    • T. Ray and K. M. Liew, "Society and civilization: An optimization algorithm based on the simulation of social behavior," IEEE Trans. Evol. Comput., vol. 7, no. 4, pp. 386-396, Aug. 2003.
    • (2003) IEEE Trans. Evol. Comput , vol.7 , Issue.4 , pp. 386-396
    • Ray, T.1    Liew, K.M.2
  • 39
    • 24144433474 scopus 로고    scopus 로고
    • A generic framework for constrained optimization using genetic algorithms
    • Aug
    • S. Venkatraman and G. G. Yen, "A generic framework for constrained optimization using genetic algorithms," IEEE Trans. Evol. Comput., vol. 9, no. 4, pp. 424-435, Aug. 2005.
    • (2005) IEEE Trans. Evol. Comput , vol.9 , Issue.4 , pp. 424-435
    • Venkatraman, S.1    Yen, G.G.2
  • 40
    • 33947409293 scopus 로고    scopus 로고
    • Derivative-free filter simulated annealing method for constrained continuous global optimization, Dept. Appl. Math. Physics, Kyoto Univ., Kyoto, Japan
    • Tech. Rep. 2004-007
    • A. Hedar and M. Fukushima, Derivative-free filter simulated annealing method for constrained continuous global optimization, Dept. Appl. Math. Physics, Kyoto Univ., Kyoto, Japan, Tech. Rep. 2004-007.
    • Hedar, A.1    Fukushima, M.2
  • 41
    • 79951851771 scopus 로고    scopus 로고
    • A simple multimembered evolution strategy to solve constrained optimization problems, Evol. Comput. Group, CINVESTAV, Sección de Computación, Dept. de Ingeniería Eléctrica, CINVESTAV-IPN, Mexico D.F., México
    • Tech. Rep. EVOCINV-04-2003, Online, Available
    • E. Mezura-Montes and C. A. Coello Coello, A simple multimembered evolution strategy to solve constrained optimization problems, Evol. Comput. Group, CINVESTAV, Sección de Computación, Dept. de Ingeniería Eléctrica, CINVESTAV-IPN, Mexico D.F., México, Tech. Rep. EVOCINV-04-2003. [Online]. Available: http://www.cs.cin-vestav.mx/ constraint/
    • Mezura-Montes, E.1    Coello Coello, C.A.2
  • 43
    • 0000238336 scopus 로고
    • A simplex method for function minimization
    • J. A. Neider and R. Mead, "A simplex method for function minimization," Comput. J., vol. 7, no. 4, pp. 308-313, 1965.
    • (1965) Comput. J , vol.7 , Issue.4 , pp. 308-313
    • Neider, J.A.1    Mead, R.2
  • 44
    • 27344446970 scopus 로고    scopus 로고
    • Constrained optimization by applying the α constrained method to the nonlinear simplex method with mutations
    • Oct
    • T. Takahama and S. Sakai, "Constrained optimization by applying the α constrained method to the nonlinear simplex method with mutations," IEEE Trans. Evol. Comput., vol. 9, no. 5, pp. 437-451, Oct. 2005.
    • (2005) IEEE Trans. Evol. Comput , vol.9 , Issue.5 , pp. 437-451
    • Takahama, T.1    Sakai, S.2
  • 45
    • 0036885602 scopus 로고    scopus 로고
    • A computationally efficient evolutionary algorithm for real-parameter optimization
    • K. Deb, A. Anand, and D. Joshi, "A computationally efficient evolutionary algorithm for real-parameter optimization," Evol. Comput., vol. 10, no. 4, pp. 371-395, 2002.
    • (2002) Evol. Comput , vol.10 , Issue.4 , pp. 371-395
    • Deb, K.1    Anand, A.2    Joshi, D.3


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