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Volumn 24, Issue 4-5, 2009, Pages 669-685

PSwarm: A hybrid solver for linearly constrained global derivative-free optimization

Author keywords

Derivative free optimization; Direct search; Global optimization; Linear constraints; Particle swarm; Pattern search

Indexed keywords

DERIVATIVE-FREE OPTIMIZATION; DIRECT SEARCH; LINEAR CONSTRAINTS; PARTICLE SWARM; PATTERN SEARCH;

EID: 68949135173     PISSN: 10556788     EISSN: 10294937     Source Type: Journal    
DOI: 10.1080/10556780902909948     Document Type: Article
Times cited : (119)

References (35)
  • 3
    • 31944448941 scopus 로고    scopus 로고
    • A study of particle swarm optimization particle trajectories
    • F.v. Bergh and A.P. Engelbrecht, A study of particle swarm optimization particle trajectories, Inform. Sci. 176 (2006), pp. 937-971.
    • (2006) Inform. Sci , vol.176 , pp. 937-971
    • Bergh, F.V.1    Engelbrecht, A.P.2
  • 6
    • 68949098067 scopus 로고    scopus 로고
    • DIRECT-A Global Optimization Algorithm. Available at
    • DIRECT-A Global Optimization Algorithm. Available at http://www4.ncsu. edu/̃ctk/Finkel-Direct.
  • 7
    • 28244496090 scopus 로고    scopus 로고
    • Benchmarking optimization software with performance profiles
    • E.D. Dolan and J.J. Moré, Benchmarking optimization software with performance profiles, Math. Program. 91 (2002), pp. 201-213.
    • (2002) Math. Program , vol.91 , pp. 201-213
    • Dolan, E.D.1    Moré, J.J.2
  • 9
    • 68949098066 scopus 로고    scopus 로고
    • Modelling nearby FGK Population I stars: A new form of estimating stellar parameters using an optimization approach
    • Tech. Rep. 08-50, Department of Mathematics, University of Coimbra
    • J.M. Fernandes, A.I.F. Vaz, and L.N. Vicente, Modelling nearby FGK Population I stars: A new form of estimating stellar parameters using an optimization approach, Tech. Rep. 08-50, Department of Mathematics, University of Coimbra, 2008.
    • (2008)
    • Fernandes, J.M.1    Vaz, A.I.F.2    Vicente, L.N.3
  • 10
    • 0001415052 scopus 로고
    • A modeling language for mathematical programming
    • R. Fourer, D.M. Gay, and B.W. Kernighan, A modeling language for mathematical programming, Management Sci. 36 (1990), pp. 519-554.
    • (1990) Management Sci , vol.36 , pp. 519-554
    • Fourer, R.1    Gay, D.M.2    Kernighan, B.W.3
  • 11
    • 68949151422 scopus 로고    scopus 로고
    • GLOBAL Library. Available at
    • GLOBAL Library. Available at http://www.gamsworld.org/global/globallib. htm.
  • 12
    • 2442598318 scopus 로고    scopus 로고
    • CUTEr (and SifDec), a Constrained and Unconstrained Testing Environment, revisited
    • Available at
    • N.I.N. Gould, D. Orban, and P.L.Toint, CUTEr (and SifDec), a Constrained and Unconstrained Testing Environment, revisited, ACM Trans. Math. Software 29 (2003), pp. 373-394. Available at http://cuter.rl.ac.uk/cuter- www.
    • (2003) ACM Trans. Math. Software , vol.29 , pp. 373-394
    • Gould, N.I.N.1    Orban, D.2    Toint, P.L.3
  • 13
    • 3042983187 scopus 로고    scopus 로고
    • Adaptative simulated annealing (ASA): Lessons learned
    • L. Ingber, Adaptative simulated annealing (ASA): Lessons learned, Control Cybernet. 25 (1996), pp. 33-54.
    • (1996) Control Cybernet , vol.25 , pp. 33-54
    • Ingber, L.1
  • 14
    • 33846895658 scopus 로고    scopus 로고
    • A deterministic global optimization algorithm
    • Y. Ji, K.C. Zhang, and S.J. Qu, A deterministic global optimization algorithm, Appl. Math. Comput. 185 (2007), pp. 382-387.
    • (2007) Appl. Math. Comput , vol.185 , pp. 382-387
    • Ji, Y.1    Zhang, K.C.2    Qu, S.J.3
  • 15
    • 0027678534 scopus 로고
    • Lipschitzian optimization without the Lipschitz constant
    • D.R. Jones, C.D. Perttunen, and B.E. Stuckman, Lipschitzian optimization without the Lipschitz constant, J. Optim. Theory Appl. 79 (1993), pp. 157-181.
    • (1993) J. Optim. Theory Appl , vol.79 , pp. 157-181
    • Jones, D.R.1    Perttunen, C.D.2    Stuckman, B.E.3
  • 17
    • 0242667172 scopus 로고    scopus 로고
    • Optimization by direct search: New perspectives on some classical and modern methods
    • T.G. Kolda, R.M. Lewis, and V. Torczon, Optimization by direct search: New perspectives on some classical and modern methods, SIAM Rev. 45 (2003), pp. 385-482.
    • (2003) SIAM Rev , vol.45 , pp. 385-482
    • Kolda, T.G.1    Lewis, R.M.2    Torczon, V.3
  • 18
    • 36249014866 scopus 로고    scopus 로고
    • Stationarity results for generating set search for linearly constrained optimization
    • T.G. Kolda, R.M. Lewis, and V. Torczon, Stationarity results for generating set search for linearly constrained optimization, SIAM J. Optim. 17 (2006), pp. 943-968.
    • (2006) SIAM J. Optim , vol.17 , pp. 943-968
    • Kolda, T.G.1    Lewis, R.M.2    Torczon, V.3
  • 19
    • 0034412352 scopus 로고    scopus 로고
    • Pattern search methods for linearly constrained minimization
    • R.M. Lewis and V. Torczon, Pattern search methods for linearly constrained minimization, SIAM J. Optim. 10 (2000), pp. 917-941.
    • (2000) SIAM J. Optim , vol.10 , pp. 917-941
    • Lewis, R.M.1    Torczon, V.2
  • 20
    • 0242598302 scopus 로고    scopus 로고
    • Objective-derivative-free methods for constrained optimization
    • S. Lucidi, M. Sciandrone, and P. Tseng, Objective-derivative-free methods for constrained optimization, Math. Program. 92 (2002), pp. 37-59.
    • (2002) Math. Program , vol.92 , pp. 37-59
    • Lucidi, S.1    Sciandrone, M.2    Tseng, P.3
  • 21
    • 46749146380 scopus 로고    scopus 로고
    • MATLAB, Available at
    • MATLAB, The MathWorks Inc. Available at http://www.mathworks.com
    • The MathWorks Inc
  • 22
    • 24344452852 scopus 로고
    • Evolutionary computation techniques for nonlinear programming problems
    • Z. Michalewicz, Evolutionary computation techniques for nonlinear programming problems, Int. Trans. Oper. Res. 1 (1994), pp. 223-240.
    • (1994) Int. Trans. Oper. Res , vol.1 , pp. 223-240
    • Michalewicz, Z.1
  • 23
    • 36549010817 scopus 로고    scopus 로고
    • Genetic Algorithms + Data Structures =
    • 3rd ed, Springer, Berlin
    • Z. Michalewicz, Genetic Algorithms + Data Structures = Evolution Programs, 3rd ed., Springer, Berlin 1996.
    • (1996) Evolution Programs
    • Michalewicz, Z.1
  • 24
    • 68949099095 scopus 로고    scopus 로고
    • Benchmarking derivative-free optimization algorithms
    • J.J. Moré and S.M. Wild, Benchmarking derivative-free optimization algorithms, SIAM J. Optim. 20 (2009), pp. 172-191.
    • (2009) SIAM J. Optim , vol.20 , pp. 172-191
    • Moré, J.J.1    Wild, S.M.2
  • 25
    • 84869003840 scopus 로고    scopus 로고
    • Available at
    • A. Neumaier, The COCONUT benchmark. Available at http://www.mat.univie.ac.at/̃neum/glopt/coconut/Benchmark/Benchmark.html.
    • The COCONUT benchmark
    • Neumaier, A.1
  • 26
    • 68949161450 scopus 로고    scopus 로고
    • NOMADm Optimization Software. Available at
    • NOMADm Optimization Software. Available at http://www.gerad.ca/NOMAD/ nomadm.html.
  • 27
    • 68949158062 scopus 로고    scopus 로고
    • The NOMAD Project. Available
    • The NOMAD Project. Available http://www.gerad.ca/NOMAD.
  • 28
    • 33745922452 scopus 로고    scopus 로고
    • Linearly constrained global optimization and stochastic differential equations
    • P. Parpas, B. Rustem, and E.N. Pistikopoulos, Linearly constrained global optimization and stochastic differential equations, J. Global Optim. 36 (2006), pp. 191-217.
    • (2006) J. Global Optim , vol.36 , pp. 191-217
    • Parpas, P.1    Rustem, B.2    Pistikopoulos, E.N.3
  • 29
    • 68949096248 scopus 로고    scopus 로고
    • J. Pintér, in Handbook of Global Optimization, P.M. Pardalos and H.E. Romeijn, eds., Nonconvex Optimization and Applications, 62, chap. 15, Kluwer Academic Publishers, Dordrecht, 2002, pp. 515-569.
    • J. Pintér, in Handbook of Global Optimization, P.M. Pardalos and H.E. Romeijn, eds., Nonconvex Optimization and Applications, Vol. 62, chap. 15, Kluwer Academic Publishers, Dordrecht, 2002, pp. 515-569.
  • 30
    • 0003138504 scopus 로고
    • Generating random points in a polytope
    • P.A. Rubin, Generating random points in a polytope, Comm. Statist. Simulation Comput. 13 (1984), pp. 375-396.
    • (1984) Comm. Statist. Simulation Comput , vol.13 , pp. 375-396
    • Rubin, P.A.1
  • 32
    • 18144412736 scopus 로고    scopus 로고
    • A study of global optimization using particle swarms
    • J.F. Schutte and A.A. Groenwold, A study of global optimization using particle swarms, J. Global Optim. 31 (2005), pp. 93-108.
    • (2005) J. Global Optim , vol.31 , pp. 93-108
    • Schutte, J.F.1    Groenwold, A.A.2
  • 34
    • 34548479280 scopus 로고    scopus 로고
    • A particle swarm pattern search method for bound constrained global optimization
    • A.I.F. Vaz and L.N. Vicente, A particle swarm pattern search method for bound constrained global optimization, J. Global Optim. 39 (2007), pp. 197-219.
    • (2007) J. Global Optim , vol.39 , pp. 197-219
    • Vaz, A.I.F.1    Vicente, L.N.2
  • 35
    • 1542291028 scopus 로고    scopus 로고
    • On numerical solution of the maximum volume ellipsoid problem
    • Y. Zhang and L. Gao, On numerical solution of the maximum volume ellipsoid problem, SIAM J. Optim. 14 (2003), pp. 53-76.
    • (2003) SIAM J. Optim , vol.14 , pp. 53-76
    • Zhang, Y.1    Gao, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.