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Volumn 40, Issue 4, 2013, Pages 963-972

A particle swarm-BFGS algorithm for nonlinear programming problems

Author keywords

Active set SQP algorithm; Augmented Lagrangian penalty function; BFGS algorithm; Interior CG algorithm; Nonlinear programming; Particle swarm optimization

Indexed keywords

AUGMENTED LAGRANGIANS; BFGS ALGORITHM; EQUALITY CONSTRAINTS; GLOBAL SEARCH; HYBRID ALGORITHMS; HYBRID FRAMEWORK; HYBRID OPTIMIZATION ALGORITHM; NON-LINEAR OPTIMIZATION ALGORITHMS; NONLINEAR PROGRAMMING PROBLEM; NONLINEAR PROGRAMS; NUMERICAL EXPERIMENTS; PENALTY FUNCTION; SOLUTION SPACE; SQP ALGORITHM; TEST PROBLEM;

EID: 84872377022     PISSN: 03050548     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cor.2012.11.008     Document Type: Article
Times cited : (36)

References (31)
  • 3
    • 0002207938 scopus 로고
    • A fast algorithm for nonlinearly constrained optimization calculations
    • GA Watson, Springer-Verlag Dundee. Berlin
    • MJD. Powell A fast algorithm for nonlinearly constrained optimization calculations GA Watson, Numerical Analysis 1977 Springer-Verlag Dundee. Berlin 144 157
    • (1977) Numerical Analysis , pp. 144-157
    • Powell, M.J.D.1
  • 4
    • 0001059736 scopus 로고    scopus 로고
    • A new technique for inconsistent QP problems in the SQP method
    • P. Spellucci A new technique for inconsistent QP problems in the SQP method Mathematical Methods of Operations Research 47 3 1998 355 400
    • (1998) Mathematical Methods of Operations Research , vol.47 , Issue.3 , pp. 355-400
    • Spellucci, P.1
  • 8
    • 0033471382 scopus 로고    scopus 로고
    • An interior point algorithm for large-scale nonlinear programming
    • RH Byrd, ME Hribar, and J. Nocedal An interior point algorithm for large-scale nonlinear programming SIAM Journal on Optimization 9 4 1999 877 900
    • (1999) SIAM Journal on Optimization , vol.9 , Issue.4 , pp. 877-900
    • Byrd, R.H.1    Hribar, M.E.2    Nocedal, J.3
  • 11
    • 51649147836 scopus 로고
    • FORTRAN-Subroutine solving constrained nonlinear programming problems
    • K.A Schittkowski FORTRAN-Subroutine solving constrained nonlinear programming problems Annals of Operations Research 5 1985 485 500
    • (1985) Annals of Operations Research , vol.5 , pp. 485-500
    • Schittkowski, K.A.1
  • 12
    • 33947655944 scopus 로고    scopus 로고
    • A hybrid particle swarm optimization with a feasibility-based rule for constrained optimization
    • Q He, and L. Wang A hybrid particle swarm optimization with a feasibility-based rule for constrained optimization Applied Mathematics and Computation 186 2 2007 1407 1422
    • (2007) Applied Mathematics and Computation , vol.186 , Issue.2 , pp. 1407-1422
    • He, Q.1    Wang, L.2
  • 13
    • 0034159170 scopus 로고    scopus 로고
    • Use of a self-adaptive penalty approach for engineering optimization problems
    • CA. Coello Coello Use of a self-adaptive penalty approach for engineering optimization problems Computers in Industry 41 2 2000 113 127
    • (2000) Computers in Industry , vol.41 , Issue.2 , pp. 113-127
    • Coello Coello, C.A.1
  • 14
    • 33750625354 scopus 로고    scopus 로고
    • An effective co-evolutionary particle swarm optimization for constrained engineering design problems
    • Q He, and L. Wang An effective co-evolutionary particle swarm optimization for constrained engineering design problems Engineering Applications of Artificial Intelligence 20 1 2007 89 99
    • (2007) Engineering Applications of Artificial Intelligence , vol.20 , Issue.1 , pp. 89-99
    • He, Q.1    Wang, L.2
  • 15
    • 41949089741 scopus 로고    scopus 로고
    • A new genetic algorithm for solving nonconvex nonlinear programming problems
    • MB Aryanezhad, and M. Hemati A new genetic algorithm for solving nonconvex nonlinear programming problems Applied Mathematics and Computation 199 1 2008 186 194
    • (2008) Applied Mathematics and Computation , vol.199 , Issue.1 , pp. 186-194
    • Aryanezhad, M.B.1    Hemati, M.2
  • 16
    • 70649097284 scopus 로고    scopus 로고
    • Hybridizing particle swarm optimization with differential evolution for constrained numerical and engineering optimization
    • H Liu, Z Cai, and Y. Wang Hybridizing particle swarm optimization with differential evolution for constrained numerical and engineering optimization Applied Soft Computing 10 2010 629 640
    • (2010) Applied Soft Computing , vol.10 , pp. 629-640
    • Liu, H.1    Cai, Z.2    Wang, Y.3
  • 17
    • 70350633101 scopus 로고    scopus 로고
    • An improved particle swarm optimization with feasibility-based rules for constrained optimization problems
    • C Sun, J Zeng, and J. Pan An improved particle swarm optimization with feasibility-based rules for constrained optimization problems Next-Generation Applied Intelligence 2009 202 211
    • (2009) Next-Generation Applied Intelligence , pp. 202-211
    • Sun, C.1    Zeng, J.2    Pan, J.3
  • 18
    • 29144511552 scopus 로고    scopus 로고
    • Constraint handling in genetic algorithms using a gradient-based repair method
    • P Chootinan, and A. Chen Constraint handling in genetic algorithms using a gradient-based repair method Computers and Operations Research 33 8 2006 2263 2281
    • (2006) Computers and Operations Research , vol.33 , Issue.8 , pp. 2263-2281
    • Chootinan, P.1    Chen, A.2
  • 19
    • 34547171047 scopus 로고    scopus 로고
    • Simulated annealing with asymptotic convergence for nonlinear constrained optimization
    • BW Wah, Y Chen, and T. Wang Simulated annealing with asymptotic convergence for nonlinear constrained optimization Journal of Global Optimization 39 1 2007 1 37
    • (2007) Journal of Global Optimization , vol.39 , Issue.1 , pp. 1-37
    • Wah, B.W.1    Chen, Y.2    Wang, T.3
  • 20
    • 33747601341 scopus 로고    scopus 로고
    • Using augmented Lagrangian particle swarm optimization for constrained problems in engineering
    • K Sedlaczek, and P. Eberhard Using augmented Lagrangian particle swarm optimization for constrained problems in engineering Structural and Multidisciplinary Optimization 32 4 2006 277 286
    • (2006) Structural and Multidisciplinary Optimization , vol.32 , Issue.4 , pp. 277-286
    • Sedlaczek, K.1    Eberhard, P.2
  • 21
    • 34848860813 scopus 로고    scopus 로고
    • Investigating a hybrid simulated annealing and local search algorithm for constrained optimization
    • CS Pedamallu, and L. Ozdamar Investigating a hybrid simulated annealing and local search algorithm for constrained optimization European Journal of Operational Research 185 2008 1230 1245
    • (2008) European Journal of Operational Research , vol.185 , pp. 1230-1245
    • Pedamallu, C.S.1    Ozdamar, L.2
  • 22
    • 81355132073 scopus 로고    scopus 로고
    • PSOLVER: A new hybrid particle swarm optimization algorithm for solving continuous optimization problems
    • AH Kayhan, H Ceylan, MT Ayvaz, and G. Gurarslan PSOLVER: a new hybrid particle swarm optimization algorithm for solving continuous optimization problems Expert Systems with Applications 37 2010 6798 6808
    • (2010) Expert Systems with Applications , vol.37 , pp. 6798-6808
    • Kayhan, A.H.1    Ceylan, H.2    Ayvaz, M.T.3    Gurarslan, G.4
  • 23
    • 78650516648 scopus 로고    scopus 로고
    • A revised particle swarm optimization based discrete Lagrange multipliers method for nonlinear programming problems
    • A Mohammad Nezhad, and H. Mahlooji A revised particle swarm optimization based discrete Lagrange multipliers method for nonlinear programming problems Computers and Operations Research 38 8 2011 1164 1174
    • (2011) Computers and Operations Research , vol.38 , Issue.8 , pp. 1164-1174
    • Mohammad Nezhad, A.1    Mahlooji, H.2
  • 25
    • 84901421400 scopus 로고    scopus 로고
    • The swarm and the queen: Towards a deterministic and adaptive particle swarm optimization
    • Washington, D.C., USA
    • Clerc M The swarm and the queen: towards a deterministic and adaptive particle swarm optimization. In: Proceedings of IEEE Congress on Evolutionary Computation. Washington, D.C., USA. 1999. pp. 1951-8.
    • (1999) Proceedings of IEEE Congress on Evolutionary Computation , pp. 1951-1958
    • Clerc, M.1
  • 26
    • 0036464756 scopus 로고    scopus 로고
    • The particle swarm-explosion, stability, and convergence in a multidimensional complex space
    • M Clerc, and J. Kennedy The particle swarm-explosion, stability, and convergence in a multidimensional complex space IEEE Transactions on Evolutionary Computation 6 1 2002 58 73
    • (2002) IEEE Transactions on Evolutionary Computation , vol.6 , Issue.1 , pp. 58-73
    • Clerc, M.1    Kennedy, J.2
  • 27
    • 74249096444 scopus 로고    scopus 로고
    • Improved convergence order for augmented penalty algorithms
    • JP. Dussault Improved convergence order for augmented penalty algorithms Computational Optimization and Applications 44 3 2009 373 383
    • (2009) Computational Optimization and Applications , vol.44 , Issue.3 , pp. 373-383
    • Dussault, J.P.1
  • 28
    • 31944448941 scopus 로고    scopus 로고
    • A study of particle swarm optimization particle trajectories
    • F Van Den Bergh, and AP. Engelbrecht A study of particle swarm optimization particle trajectories Information Sciences 176 2006 937 971
    • (2006) Information Sciences , vol.176 , pp. 937-971
    • Van Den Bergh, F.1    Engelbrecht, A.P.2
  • 29
    • 0033094194 scopus 로고    scopus 로고
    • Evolutionary algorithms, homomorphous mappings, and constrained parameter optimization
    • S Koziel, and Z. Michalewicz Evolutionary algorithms, homomorphous mappings, and constrained parameter optimization Evolutionary Computation 7 1 1999 19 44
    • (1999) Evolutionary Computation , vol.7 , Issue.1 , pp. 19-44
    • Koziel, S.1    Michalewicz, Z.2
  • 30
    • 0020765020 scopus 로고
    • Revisions of constraint approximations in the successive QP method for nonlinear programming problems
    • K. Tone Revisions of constraint approximations in the successive QP method for nonlinear programming problems Journal of Mathematical Programming 26 2 1983 144 152
    • (1983) Journal of Mathematical Programming , vol.26 , Issue.2 , pp. 144-152
    • Tone, K.1
  • 31
    • 40949106826 scopus 로고    scopus 로고
    • KNITRO: An integrated package for nonlinear optimization
    • Pillo Gd, M Roma, Springer
    • RH Byrd, J Nocedal, and RA. Waltz KNITRO: An integrated package for nonlinear optimization Pillo Gd, M Roma, Large-scale Nonlinear Optimization 2006 Springer 35 59
    • (2006) Large-scale Nonlinear Optimization , pp. 35-59
    • Byrd, R.H.1    Nocedal, J.2    Waltz, R.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.