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Volumn 208, Issue 1, 2009, Pages 273-283

Solving constrained optimization problems using a novel genetic algorithm

Author keywords

Constrained optimization; Evolutionary algorithms; Genetic algorithms; Genetic operations; Stopping rules

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; DIESEL ENGINES; EVOLUTIONARY ALGORITHMS; GENETIC ALGORITHMS; OPTIMIZATION;

EID: 58549088670     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.12.002     Document Type: Article
Times cited : (49)

References (47)
  • 1
    • 0032716090 scopus 로고    scopus 로고
    • Application of constrained optimization to radiotherapy planning
    • Sauer O.A., Shepard D.M., and Mackie T.R. Application of constrained optimization to radiotherapy planning. Medical Physics 26 (1999) 2359-2366
    • (1999) Medical Physics , vol.26 , pp. 2359-2366
    • Sauer, O.A.1    Shepard, D.M.2    Mackie, T.R.3
  • 2
    • 0001384606 scopus 로고    scopus 로고
    • Estimation of the optical constants and the thickness of thin films using unconstrained optimization
    • Birgin E.G., Chambouleyron I., and Martínez J.M. Estimation of the optical constants and the thickness of thin films using unconstrained optimization. Journal of Computational Physics 151 (1999) 862-880
    • (1999) Journal of Computational Physics , vol.151 , pp. 862-880
    • Birgin, E.G.1    Chambouleyron, I.2    Martínez, J.M.3
  • 3
    • 33748434822 scopus 로고    scopus 로고
    • A constrained optimization algorithm for total energy minimization in electronic structure calculations
    • Yang C., Meza J.C., and Wang L.W. A constrained optimization algorithm for total energy minimization in electronic structure calculations. Journal of Computational Physics 217 (2006) 709-721
    • (2006) Journal of Computational Physics , vol.217 , pp. 709-721
    • Yang, C.1    Meza, J.C.2    Wang, L.W.3
  • 4
    • 0027698999 scopus 로고
    • Transonic airfoil design by constrained optimization
    • Lee K.D., and Eyi S. Transonic airfoil design by constrained optimization. Journal of Aircraft 30 (1993) 805-806
    • (1993) Journal of Aircraft , vol.30 , pp. 805-806
    • Lee, K.D.1    Eyi, S.2
  • 5
    • 58549118957 scopus 로고    scopus 로고
    • F.P. Seelos, R.E. Arvidson, Bounded variable least squares - application of a constrained optimization algorithm to the analysis of TES Emissivity Spectra, in: 34th Annual Lunar and Planetary Science Conference, March 17-21, 2003, League City, Texas (abstract no. 1817).
    • F.P. Seelos, R.E. Arvidson, Bounded variable least squares - application of a constrained optimization algorithm to the analysis of TES Emissivity Spectra, in: 34th Annual Lunar and Planetary Science Conference, March 17-21, 2003, League City, Texas (abstract no. 1817).
  • 6
    • 0346902444 scopus 로고
    • Constrained optimization of ab initio and semiempirical Hartree-Fock wave functions using direct minimization or simulated annealing
    • Field M.J. Constrained optimization of ab initio and semiempirical Hartree-Fock wave functions using direct minimization or simulated annealing. Journal of Physical Chemistry 95 (1991) 5104-5108
    • (1991) Journal of Physical Chemistry , vol.95 , pp. 5104-5108
    • Field, M.J.1
  • 7
    • 0035156982 scopus 로고    scopus 로고
    • Constrained global optimization for estimating molecular structure from atomic distances
    • Williams G.A., Dugan J.M., and Altman R.B. Constrained global optimization for estimating molecular structure from atomic distances. Journal of Computational Biology 8 (2001) 523-547
    • (2001) Journal of Computational Biology , vol.8 , pp. 523-547
    • Williams, G.A.1    Dugan, J.M.2    Altman, R.B.3
  • 8
    • 33744712339 scopus 로고
    • Constrained optimization in Cartesian coordinates
    • Baker J., and Bergeron D. Constrained optimization in Cartesian coordinates. Journal of Computational Chemistry 14 (1993) 1339-1346
    • (1993) Journal of Computational Chemistry , vol.14 , pp. 1339-1346
    • Baker, J.1    Bergeron, D.2
  • 9
    • 0035925914 scopus 로고    scopus 로고
    • Multiple walking speed-frequency relations are predicted by constrained optimization
    • Bertram J.E.A., and Ruina A. Multiple walking speed-frequency relations are predicted by constrained optimization. Journal of Theoretical Biology 209 (2001) 445-453
    • (2001) Journal of Theoretical Biology , vol.209 , pp. 445-453
    • Bertram, J.E.A.1    Ruina, A.2
  • 10
    • 17144403508 scopus 로고    scopus 로고
    • Constrained optimization in human walking: cost minimization and gait plasticity
    • Bertram J.E.A. Constrained optimization in human walking: cost minimization and gait plasticity. Journal of Experimental Biology 208 (2005) 979-991
    • (2005) Journal of Experimental Biology , vol.208 , pp. 979-991
    • Bertram, J.E.A.1
  • 11
    • 0026373027 scopus 로고    scopus 로고
    • I. Iakovidis, R.M. Gulrajani, Regularization of the inverse epicardial solution using linearly constrained optimization, in: Engineering in Medicine and Biology Society, Proceedings of the Annual International Conference of the IEEE Publication Date: 31 October-3 November, 1991. vol. 13, pp. 698-699.
    • I. Iakovidis, R.M. Gulrajani, Regularization of the inverse epicardial solution using linearly constrained optimization, in: Engineering in Medicine and Biology Society, Proceedings of the Annual International Conference of the IEEE Publication Date: 31 October-3 November, 1991. vol. 13, pp. 698-699.
  • 14
    • 0018492943 scopus 로고
    • The computation of Lagrange-multiplier estimates for constrained minimization
    • Gill P.E., and Murray W. The computation of Lagrange-multiplier estimates for constrained minimization. Mathematical Programming 17 (1979) 32-60
    • (1979) Mathematical Programming , vol.17 , pp. 32-60
    • Gill, P.E.1    Murray, W.2
  • 15
    • 34249955300 scopus 로고    scopus 로고
    • A trust region algorithm for equality constrained optimization
    • Powell M.J.D., and Yuan Y. A trust region algorithm for equality constrained optimization. Mathematical Programming 49 (2005) 189-211
    • (2005) Mathematical Programming , vol.49 , pp. 189-211
    • Powell, M.J.D.1    Yuan, Y.2
  • 17
    • 58549095072 scopus 로고    scopus 로고
    • D.M. Gay, A trust-region approach to linearly constrained optimization, Lecture Notes in Mathematics, vol. 1066, 1984, pp. 72-105 (Áñãåíôéí (ñïéôåéêüó)).
    • D.M. Gay, A trust-region approach to linearly constrained optimization, Lecture Notes in Mathematics, vol. 1066, 1984, pp. 72-105 (Áñãåíôéí (ñïéôåéêüó)).
  • 19
    • 0030402841 scopus 로고    scopus 로고
    • Constrained optimization using interval analysis
    • Ichida K. Constrained optimization using interval analysis. Computers and Industrial Engineering 31 (1996) 933-937
    • (1996) Computers and Industrial Engineering , vol.31 , pp. 933-937
    • Ichida, K.1
  • 21
    • 0027696448 scopus 로고
    • On solving constrained optimization problems with neural networks: a penalty method approach
    • Lillo W.E., Loh M.H., Hui S., and Zak S.H. On solving constrained optimization problems with neural networks: a penalty method approach. IEEE Transactions on Neural Networks 4 (1993) 931-940
    • (1993) IEEE Transactions on Neural Networks , vol.4 , pp. 931-940
    • Lillo, W.E.1    Loh, M.H.2    Hui, S.3    Zak, S.H.4
  • 23
    • 0242598302 scopus 로고    scopus 로고
    • Objective-derivative-free methods for constrained optimization
    • Lucidi S., Sciandrone M., and Tseng P. Objective-derivative-free methods for constrained optimization. Mathematical Programming 92 (1999) 37-59
    • (1999) Mathematical Programming , vol.92 , pp. 37-59
    • Lucidi, S.1    Sciandrone, M.2    Tseng, P.3
  • 24
    • 58549091318 scopus 로고    scopus 로고
    • G. Liuzzi, S. Lucidi, A derivative-free algorithm for nonlinear programming, TR 17/05, Department of Computer and Systems Science, Antonio Ruberti, University of Rome, La Sapienza, 2005.
    • G. Liuzzi, S. Lucidi, A derivative-free algorithm for nonlinear programming, TR 17/05, Department of Computer and Systems Science, Antonio Ruberti, University of Rome, La Sapienza, 2005.
  • 25
    • 0346935048 scopus 로고
    • An extension of the simplex method to constrained nonlinear optimization
    • Subrahmanyam M.B. An extension of the simplex method to constrained nonlinear optimization. Journal of Optimization Theory and Applications 62 (1989) 311-319
    • (1989) Journal of Optimization Theory and Applications , vol.62 , pp. 311-319
    • Subrahmanyam, M.B.1
  • 26
    • 40149085103 scopus 로고    scopus 로고
    • A self-organizing migrating genetic algorithm for constrained optimization
    • Deep K., and Dipti. A self-organizing migrating genetic algorithm for constrained optimization. Applied Mathematics and Computation 198 (2008) 237-250
    • (2008) Applied Mathematics and Computation , vol.198 , pp. 237-250
    • Deep, K.1    Dipti2
  • 27
    • 0028413196 scopus 로고
    • Constrained optimization via genetic algorithms
    • Homaifar A. Constrained optimization via genetic algorithms. Simulation 62 (1994) 242-253
    • (1994) Simulation , vol.62 , pp. 242-253
    • Homaifar, A.1
  • 28
    • 24144433474 scopus 로고    scopus 로고
    • A generic framework for constrained optimization using genetic algorithms
    • Venkatraman S., and Yen G.G. A generic framework for constrained optimization using genetic algorithms. IEEE Transactions on Evolutionary Computation 9 (2005) 424-435
    • (2005) IEEE Transactions on Evolutionary Computation , vol.9 , pp. 424-435
    • Venkatraman, S.1    Yen, G.G.2
  • 29
    • 25444524580 scopus 로고    scopus 로고
    • Evolutionary algorithms for constrained parameter optimization problems
    • Michalewicz Z., and Schoenauer M. Evolutionary algorithms for constrained parameter optimization problems. Evolutionary Computation 4 (1996) 1-32
    • (1996) Evolutionary Computation , vol.4 , pp. 1-32
    • Michalewicz, Z.1    Schoenauer, M.2
  • 31
    • 33947655944 scopus 로고    scopus 로고
    • A hybrid particle swarm optimization with a feasibility - based rule for constrained optimization
    • He Q., and Wang L. A hybrid particle swarm optimization with a feasibility - based rule for constrained optimization. Applied Mathematics and Computation 186 (2007) 1407-1422
    • (2007) Applied Mathematics and Computation , vol.186 , pp. 1407-1422
    • He, Q.1    Wang, L.2
  • 32
    • 58549085219 scopus 로고    scopus 로고
    • X.H.Hu, R.C. Eberhart, Solving constrained nonlinear optimization problems with particle swarm optimization, in: N. Callaos (Ed.), Proceedings of the Sixth World Multiconference on Systematics, Cybergenetics and Informatics, Orlando, FL, 2002, pp. 203-206.
    • X.H.Hu, R.C. Eberhart, Solving constrained nonlinear optimization problems with particle swarm optimization, in: N. Callaos (Ed.), Proceedings of the Sixth World Multiconference on Systematics, Cybergenetics and Informatics, Orlando, FL, 2002, pp. 203-206.
  • 33
    • 9544221669 scopus 로고    scopus 로고
    • A line up evolutionary algorithm for solving nonlinear constrained optimization problems
    • Sarimveis H., and Nikolakopoulos A. A line up evolutionary algorithm for solving nonlinear constrained optimization problems. Computers and Operations Research 32 (2005) 1499-1514
    • (2005) Computers and Operations Research , vol.32 , pp. 1499-1514
    • Sarimveis, H.1    Nikolakopoulos, A.2
  • 35
    • 58549119765 scopus 로고    scopus 로고
    • M.J.D. Powell, A Direct search optimization method that models the objective and constraint functions by linear interpolation, DAMTP/NA5, Cambridge, England.
    • M.J.D. Powell, A Direct search optimization method that models the objective and constraint functions by linear interpolation, DAMTP/NA5, Cambridge, England.
  • 36
    • 51549103261 scopus 로고    scopus 로고
    • Modifications of real code genetic algorithm for global optimization
    • Tsoulos I.G. Modifications of real code genetic algorithm for global optimization. Applied Mathematics and Computation 203 (2008) 598-607
    • (2008) Applied Mathematics and Computation , vol.203 , pp. 598-607
    • Tsoulos, I.G.1
  • 38
    • 0004183273 scopus 로고
    • Edison Wesley Publishing Com., Amsterdam
    • Salkin H.M. Integer Programming (1975), Edison Wesley Publishing Com., Amsterdam
    • (1975) Integer Programming
    • Salkin, H.M.1
  • 40
    • 0015680502 scopus 로고
    • A heuristic search for estimating a global solution of non convex programming problems
    • Hess R. A heuristic search for estimating a global solution of non convex programming problems. Operations Research 21 (1973) 1267-1280
    • (1973) Operations Research , vol.21 , pp. 1267-1280
    • Hess, R.1
  • 42
    • 29144511552 scopus 로고    scopus 로고
    • Constraint handling in genetic algorithms using a gradient - based repair method
    • Chootinan P., and Chen A. Constraint handling in genetic algorithms using a gradient - based repair method. Computer and Operations Research 33 (2006) 2263-2281
    • (2006) Computer and Operations Research , vol.33 , pp. 2263-2281
    • Chootinan, P.1    Chen, A.2
  • 43
    • 84901396017 scopus 로고    scopus 로고
    • Hybrid differential evolution with multiplier updating method for nonlinear constrained optimization problems
    • IEEE Service Center, Honolulu Hawaii
    • Lin Y.C., Hwang K.S., and Wang F.S. Hybrid differential evolution with multiplier updating method for nonlinear constrained optimization problems. Proceedings of the 2002 IEEE World Congress on Computation Intelligence (2002), IEEE Service Center, Honolulu Hawaii 872-877
    • (2002) Proceedings of the 2002 IEEE World Congress on Computation Intelligence , pp. 872-877
    • Lin, Y.C.1    Hwang, K.S.2    Wang, F.S.3
  • 44
    • 58549106585 scopus 로고    scopus 로고
    • J.J. Liang, T.P. Runarsson, E. Mezura-Montes, M. Clerc, P.N. Suganthan, C.A.C. Coello, K. Deb, Problem definitions and evaluation criteria for the CEC2006 special session on constrained real-parameter optimization. .
    • J.J. Liang, T.P. Runarsson, E. Mezura-Montes, M. Clerc, P.N. Suganthan, C.A.C. Coello, K. Deb, Problem definitions and evaluation criteria for the CEC2006 special session on constrained real-parameter optimization. .
  • 45
    • 0034159170 scopus 로고    scopus 로고
    • Use of a self-adaptive penalty approach for engineering optimization problems
    • Coello C.A.C. Use of a self-adaptive penalty approach for engineering optimization problems. Computers and Industrial Engineering 41 (2000) 113-127
    • (2000) Computers and Industrial Engineering , vol.41 , pp. 113-127
    • Coello, C.A.C.1
  • 46
    • 0001346976 scopus 로고    scopus 로고
    • An SQP method for general nonlinear programs using only equality constrained subproblems
    • Spelluci P. An SQP method for general nonlinear programs using only equality constrained subproblems. Mathematical Programming 82 (1998) 413-448
    • (1998) Mathematical Programming , vol.82 , pp. 413-448
    • Spelluci, P.1
  • 47
    • 0001059736 scopus 로고    scopus 로고
    • A new technique for inconsistent problems in the SQP method
    • Spelluci P. A new technique for inconsistent problems in the SQP method. Mathematical Methods of Operational Research 47 (1998) 355-400
    • (1998) Mathematical Methods of Operational Research , vol.47 , pp. 355-400
    • Spelluci, P.1


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