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Volumn 198, Issue , 2009, Pages 121-143

An adaptive penalty function for handling constraint in multi-objective evolutionary optimization

Author keywords

Adaptive penalty; Constraint handling; Multiobjective evolutionary algorithm

Indexed keywords


EID: 65549159929     PISSN: 1860949X     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-00619-7_6     Document Type: Article
Times cited : (10)

References (37)
  • 1
    • 84901398538 scopus 로고    scopus 로고
    • Constrained Optimization based on a Multiobjective Evolutionary Algorithms
    • Canberra, Australia, December, IEEE Service Center () 2003
    • Angantyr, A., Andersson, J., Aidanpaa, J.: Constrained Optimization based on a Multiobjective Evolutionary Algorithms. In: Proceedings of the Congress on Evolutionary Computation 2003 (CEC 2003), Canberra, Australia, December 2003, pp. 1560-1567. IEEE Service Center (2003)
    • (2003) Proceedings of the Congress on Evolutionary Computation 2003 (CEC , pp. 1560-1567
    • Angantyr, A.1    Andersson, J.2    Aidanpaa, J.3
  • 3
    • 65549090311 scopus 로고    scopus 로고
    • Bean, J.C., Hadj-Alouane, A.B.: A Dual Genetic Algorithm for Bounded Integer Programs. Technical Report TR 92-53, Technical Report TR 92-53, Department of Industrial and Operations Engineering, The University of Michigan, Ann Arbor, MI, The University of Michigan (1992); to appear in R.A.I.R.O.-R.O. (invited submission to special issue on GAs and OR)
    • Bean, J.C., Hadj-Alouane, A.B.: A Dual Genetic Algorithm for Bounded Integer Programs. Technical Report TR 92-53, Technical Report TR 92-53, Department of Industrial and Operations Engineering, The University of Michigan, Ann Arbor, MI, The University of Michigan (1992); to appear in R.A.I.R.O.-R.O. (invited submission to special issue on GAs and OR)
  • 4
  • 5
    • 33947426462 scopus 로고    scopus 로고
    • A multiobjective optimization-based evolutionary algorithm for constrained optimization
    • Cai, Z.,Wang, Y.: A multiobjective optimization-based evolutionary algorithm for constrained optimization. IEEE Trans. Evolutionary Computation 10(6), 658-675 (2006)
    • (2006) IEEE Trans. Evolutionary Computation , vol.10 , Issue.6 , pp. 658-675
    • Cai, Z.1    Wang, Y.2
  • 7
    • 0013430605 scopus 로고
    • Multiobjective Decision Making: Theory and Methodology
    • Sage, A.P, ed, North-Holland, Amsterdam
    • Chankong, V., Haimes, Y.: Multiobjective Decision Making: Theory and Methodology. In: Sage, A.P. (ed.) Systems Science and Engineering, vol. 8, pp. 62-109. North-Holland, Amsterdam (1983)
    • (1983) Systems Science and Engineering , vol.8 , pp. 62-109
    • Chankong, V.1    Haimes, Y.2
  • 8
    • 0002490932 scopus 로고    scopus 로고
    • Moses: A multi-objective op-timization tool for engineering design
    • CAello, C., Christiansen, A.: Moses: a multi-objective op-timization tool for engineering design. Engineering Optimization 31(3), 337-368 (1999)
    • (1999) Engineering Optimization , vol.31 , Issue.3 , pp. 337-368
    • CAello, C.1    Christiansen, A.2
  • 9
    • 0033729054 scopus 로고    scopus 로고
    • An Efficient Constraint Handling Method for Genetic Algorithms
    • Deb, K.: An Efficient Constraint Handling Method for Genetic Algorithms. Computer Methods in Applied Mechanics and Engineering 186(2/4), 311-338 (2000)
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.186 , Issue.2-4 , pp. 311-338
    • Deb, K.1
  • 11
    • 0036530772 scopus 로고    scopus 로고
    • Deb, K., Pratap, A.,Agarwal, S.,Meyarivan, T.: A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation 6(2)(2), 182-197 (2002)
    • Deb, K., Pratap, A.,Agarwal, S.,Meyarivan, T.: A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation 6(2)(2), 182-197 (2002)
  • 13
    • 0001953837 scopus 로고
    • Genetic Algorithms for Multiobjective Optimization: Formulation, Discussion and Generalization
    • Forrest, S, ed, San Mateo, California, pp, Morgan Kauffman Publishers, San Francisco
    • Fonseca, C., Fleming, P.: Genetic Algorithms for Multiobjective Optimization: Formulation, Discussion and Generalization. In: Forrest, S. (ed.) Proceedings of the Fifth International Conference on Genetic Algorithms, San Mateo, California, pp. 416-423. Morgan Kauffman Publishers, San Francisco (1993)
    • (1993) Proceedings of the Fifth International Conference on Genetic Algorithms , pp. 416-423
    • Fonseca, C.1    Fleming, P.2
  • 14
    • 0031701082 scopus 로고    scopus 로고
    • Multiobjective optimization and multiple constraint handling with evolutionary algorithms - Part I: A unified formulation
    • Fonseca, C., Fleming, P.: Multiobjective optimization and multiple constraint handling with evolutionary algorithms - Part I: A unified formulation. IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans 28(1), 26-37 (1998)
    • (1998) IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans , vol.28 , Issue.1 , pp. 26-37
    • Fonseca, C.1    Fleming, P.2
  • 16
    • 34548090884 scopus 로고    scopus 로고
    • Harada, K., Sakuma, J., Ono, I., Kobayashi, S.: Constraint-handling method for multi-objective function optimization: Pareto descent repair operator. In: Obayashi, S.,Deb, K., Poloni, C., Hiroyasu, T., Murata, T. (eds.) EMO 2007. LNCS, 4403, pp. 156-170. Springer, Heidelberg (2007)
    • Harada, K., Sakuma, J., Ono, I., Kobayashi, S.: Constraint-handling method for multi-objective function optimization: Pareto descent repair operator. In: Obayashi, S.,Deb, K., Poloni, C., Hiroyasu, T., Murata, T. (eds.) EMO 2007. LNCS, vol. 4403, pp. 156-170. Springer, Heidelberg (2007)
  • 17
    • 0028413196 scopus 로고
    • Constrained Optimization via Genetic Algorithms
    • Homaifar, A., Lai, S.H.Y., Qi, X.: Constrained Optimization via Genetic Algorithms. Simulation 62(4), 242-254 (1994)
    • (1994) Simulation , vol.62 , Issue.4 , pp. 242-254
    • Homaifar, A.1    Lai, S.H.Y.2    Qi, X.3
  • 18
    • 40649123267 scopus 로고    scopus 로고
    • An Evolutionary Algorithm for Constrained Multi-objective Optimization
    • Piscataway, New Jersey, May, IEEE Service Center () 2002
    • Jiménez, F., Gómez-Skarmeta, A., Sánchez, G., Deb, K.: An Evolutionary Algorithm for Constrained Multi-objective Optimization. In: Proceedings of the Congress on Evolutionary Computation 2002 (CEC 2002), Piscataway, New Jersey, May 2002, vol. 2, pp. 1133-1138. IEEE Service Center (2002)
    • (2002) Proceedings of the Congress on Evolutionary Computation 2002 (CEC , vol.2 , pp. 1133-1138
    • Jiménez, F.1    Gómez-Skarmeta, A.2    Sánchez, G.3    Deb, K.4
  • 19
    • 0028602950 scopus 로고
    • On the use of non-stationary penalty functions to solve nonlinear constrained optimization problems with GAs
    • Fogel, D, ed, Orlando, Florida, pp, IEEE Press, Los Alamitos
    • Joines, J., Houck, C.: On the use of non-stationary penalty functions to solve nonlinear constrained optimization problems with GAs. In: Fogel, D. (ed.) Proceedings of the first IEEE Conference on Evolutionary Computation, Orlando, Florida, pp. 579-584. IEEE Press, Los Alamitos (1994)
    • (1994) Proceedings of the first IEEE Conference on Evolutionary Computation , pp. 579-584
    • Joines, J.1    Houck, C.2
  • 20
    • 34248139109 scopus 로고    scopus 로고
    • A tutorial on performance assess-ment of stochastic multiobjective optimizers. Technical report
    • No. 214 (revised version, Switzerland Computer Engineering and Networks Laboratory (TIK, Swiss Federal Institute of Technology ETH, Munich, Switzerland, pp
    • Knowles, J., Thiele, L., Zitzler, E.: A tutorial on performance assess-ment of stochastic multiobjective optimizers. Technical report, TIK-Report No. 214 (revised version), Switzerland Computer Engineering and Networks Laboratory (TIK), Swiss Federal Institute of Technology (ETH), Munich, Switzerland, pp. 1-35 (2006)
    • (2006) TIK-Report , pp. 1-35
    • Knowles, J.1    Thiele, L.2    Zitzler, E.3
  • 21
    • 0034199912 scopus 로고    scopus 로고
    • Approximating the Nondominated Front Using the Pareto Archived Evolution Strategy
    • Knowles, J.D., Corne, D.W.: Approximating the Nondominated Front Using the Pareto Archived Evolution Strategy. Evolutionary Computation 8(2), 149-172 (2000)
    • (2000) Evolutionary Computation , vol.8 , Issue.2 , pp. 149-172
    • Knowles, J.D.1    Corne, D.W.2
  • 22
    • 65549139100 scopus 로고    scopus 로고
    • Mezura, E., Coello-Coello, C.A.: A survey of constraint-handling techniques based on evolutionary multiobjective optimization. Technical report, Technical Report EVOCINV-04-2006, Evolutionary Computation Group at CINVESTAV, Departamento de Computacion, CINVESTAV-IPN, México (2006)
    • Mezura, E., Coello-Coello, C.A.: A survey of constraint-handling techniques based on evolutionary multiobjective optimization. Technical report, Technical Report EVOCINV-04-2006, Evolutionary Computation Group at CINVESTAV, Departamento de Computacion, CINVESTAV-IPN, México (2006)
  • 23
    • 0029388566 scopus 로고
    • A new method to solve generalized multicriteria optimization problems using the simple genetic algorithm
    • Osyczka, A., Kundu, S.: A new method to solve generalized multicriteria optimization problems using the simple genetic algorithm. Structural Optimization 10(2), 94-99 (1995)
    • (1995) Structural Optimization , vol.10 , Issue.2 , pp. 94-99
    • Osyczka, A.1    Kundu, S.2
  • 26
    • 0000543755 scopus 로고    scopus 로고
    • An evolutionary algorithm for multiobjective optimization
    • Ray, T., Tai, K., Seow, K.: An evolutionary algorithm for multiobjective optimization. Engineering Optimization 33(3), 399-424 (2001)
    • (2001) Engineering Optimization , vol.33 , Issue.3 , pp. 399-424
    • Ray, T.1    Tai, K.2    Seow, K.3
  • 27
    • 0034266683 scopus 로고    scopus 로고
    • Stochastic Ranking for Constrained Evolutionary Optimization
    • Runarsson, T., Yao, X.: Stochastic Ranking for Constrained Evolutionary Optimization. IEEE Transactions on Evolutionary Computation 4(3), 284-294 (2000)
    • (2000) IEEE Transactions on Evolutionary Computation , vol.4 , Issue.3 , pp. 284-294
    • Runarsson, T.1    Yao, X.2
  • 29
    • 0000852513 scopus 로고
    • Multiobjective Optimization Using Nondominated Sorting in Genetic Algorithms
    • Fall
    • Srinivas, N., Deb, K.: Multiobjective Optimization Using Nondominated Sorting in Genetic Algorithms. Evolutionary Computation 2(3), 221-248 (Fall 1994)
    • (1994) Evolutionary Computation , vol.2 , Issue.3 , pp. 221-248
    • Srinivas, N.1    Deb, K.2
  • 30
    • 27344446970 scopus 로고    scopus 로고
    • Constrained Optimization by Applying the α Constrained Method to the Nonlinear Simplex Method with Mutations
    • Takahama, T., Sakai, S.: Constrained Optimization by Applying the α Constrained Method to the Nonlinear Simplex Method with Mutations. IEEE Transactions on Evolutionary Computation 9(5), 437-451 (2005)
    • (2005) IEEE Transactions on Evolutionary Computation , vol.9 , Issue.5 , pp. 437-451
    • Takahama, T.1    Sakai, S.2
  • 31
    • 34547269606 scopus 로고    scopus 로고
    • Constrained Optimization by the ε Constrained Differential Evolution with Gradient-Based Mutation and Feasible Elites
    • Vancouver, BC, Canada, July, IEEE, Los Alamitos
    • Takahama, T., Sakai, S.: Constrained Optimization by the ε Constrained Differential Evolution with Gradient-Based Mutation and Feasible Elites. In: 2006 IEEE Congress on Evolutionary Computation, Vancouver, BC, Canada, July 2006, pp. 308-315. IEEE, Los Alamitos (2006)
    • (2006) 2006 IEEE Congress on Evolutionary Computation , pp. 308-315
    • Takahama, T.1    Sakai, S.2
  • 32
    • 0029521339 scopus 로고    scopus 로고
    • Tanaka, M., Watanabe, H., Furukawa, Y., Tanino, T.: GA-based decision support system for multicriteria optimization. In: 1995 IEEE International Conference on Systems, Man and Cybernetics. Intelligent Systems for the 21st Century (Cat. No. 9 5CH3576-7), New York, NY, USA, 2, pp. 1556-1561. IEEE, Los Alamitos (1995)
    • Tanaka, M., Watanabe, H., Furukawa, Y., Tanino, T.: GA-based decision support system for multicriteria optimization. In: 1995 IEEE International Conference on Systems, Man and Cybernetics. Intelligent Systems for the 21st Century (Cat. No. 9 5CH3576-7), New York, NY, USA, vol. 2, pp. 1556-1561. IEEE, Los Alamitos (1995)
  • 33
    • 34547354192 scopus 로고    scopus 로고
    • A Self Adaptative Penalty Function Based Algorithm for Constrained Optimization
    • Vancouver, Canada, July, IEEE, Los Alamitos
    • Tessema, B., Yen, G.: A Self Adaptative Penalty Function Based Algorithm for Constrained Optimization. In: Proceedings of IEEE Congress on Evolutionary Computation, Vancouver, Canada, July 2006, pp. 950-957. IEEE, Los Alamitos (2006)
    • (2006) Proceedings of IEEE Congress on Evolutionary Computation , pp. 950-957
    • Tessema, B.1    Yen, G.2
  • 34
    • 24144433474 scopus 로고    scopus 로고
    • A Generic Framework for Constrained Optimization Using Genetic Algorithms
    • Venkatraman, S., Yen, G.G.: A Generic Framework for Constrained Optimization Using Genetic Algorithms. IEEE Transactions on Evolutionary Computation 9(4), 424-435 (2005)
    • (2005) IEEE Transactions on Evolutionary Computation , vol.9 , Issue.4 , pp. 424-435
    • Venkatraman, S.1    Yen, G.G.2
  • 36
    • 0003482370 scopus 로고    scopus 로고
    • An evolutionary algorithm for multi-objective op-timization: The strength pareto approach
    • Technical report, Technical Report, Switzerland Computer Engineering and Networks Laboratory (TIK, Swiss Federal In-stitute of Technology ETH, Munich, Switzerland
    • Zitzler, E., Thiele, L.: An evolutionary algorithm for multi-objective op-timization: The strength pareto approach. Technical report, Technical Report, Switzerland Computer Engineering and Networks Laboratory (TIK), Swiss Federal In-stitute of Technology (ETH), Munich, Switzerland (1998)
    • (1998)
    • Zitzler, E.1    Thiele, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.