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Volumn 56, Issue 3, 2013, Pages 1247-1293

Derivative-free optimization: A review of algorithms and comparison of software implementations

Author keywords

Derivative free algorithms; Direct search methods; Surrogate models

Indexed keywords

DERIVATIVE-FREE ALGORITHM; DERIVATIVE-FREE OPTIMIZATION; DERIVATIVE-FREE OPTIMIZATION ALGORITHMS; DIRECT SEARCH METHODS; OBJECTIVE FUNCTION VALUES; SCIENCE AND ENGINEERING; SOFTWARE IMPLEMENTATION; SURROGATE MODEL;

EID: 84879693300     PISSN: 09255001     EISSN: 15732916     Source Type: Journal    
DOI: 10.1007/s10898-012-9951-y     Document Type: Conference Paper
Times cited : (1087)

References (144)
  • 1
    • 0021899088 scopus 로고
    • Statistical cooling: A general approach to combinatorial optimization problems
    • Aarts E.H.L.; van Laarhoven P.J.M.: Statistical cooling: a general approach to combinatorial optimization problems. Phillips J. Res. 40, 193-226 (1985)
    • (1985) Phillips J. Res. , vol.40 , pp. 193-226
    • Aarts, E.H.L.1    Van Laarhoven, P.J.M.2
  • 3
    • 78149280350 scopus 로고    scopus 로고
    • Air Force Institute of Technology, Wright-Patterson AFB, OH
    • Abramson, M.A.: NOMADm Version 4.5 User's Guide. Air Force Institute of Technology, Wright-Patterson AFB, OH (2007)
    • (2007) NOMADm Version 4.5 User's Guide
    • Abramson, M.A.1
  • 4
    • 77955659936 scopus 로고    scopus 로고
    • Quantitative object reconstruction via Abel-based X-ray tomography and mixed variable optimization
    • 10.1137/08071380X
    • Abramson M.A.; Asaki T.J.; Dennis J.E. Jr.; O'Reilly K.R.; Pingel R.L.: Quantitative object reconstruction via Abel-based X-ray tomography and mixed variable optimization. SIAM J. Imaging Sci. 1, 322-342 (2008)
    • (2008) SIAM J. Imaging Sci. , vol.1 , pp. 322-342
    • Abramson, M.A.1    Asaki, T.J.2    Dennis Jr., J.E.3    O'Reilly, K.R.4    Pingel, R.L.5
  • 5
    • 34249065184 scopus 로고    scopus 로고
    • Convergence of mesh adaptive direct search to second-order stationary points
    • 10.1137/050638382
    • Abramson M.A.; Audet C.: Convergence of mesh adaptive direct search to second-order stationary points. SIAM J. Optim. 17, 606-609 (2006)
    • (2006) SIAM J. Optim. , vol.17 , pp. 606-609
    • Abramson, M.A.1    Audet, C.2
  • 7
    • 64449088736 scopus 로고    scopus 로고
    • Filter pattern search algorithms for mixed variable constrained optimization problems
    • Abramson M.A.; Audet C.; Dennis J.E. Jr: Filter pattern search algorithms for mixed variable constrained optimization problems. Pac. J. Optim. 3, 477-500 (2007)
    • (2007) Pac. J. Optim. , vol.3 , pp. 477-500
    • Abramson, M.A.1    Audet, C.2    Dennis Jr., J.E.3
  • 8
    • 70450163153 scopus 로고    scopus 로고
    • OrthoMADS: A deterministic MADS instance with orthogonal directions
    • 10.1137/080716980
    • Abramson M.A.; Audet C.; Dennis J.E. Jr, Le Digabel S.: OrthoMADS: a deterministic MADS instance with orthogonal directions. SIAM J. Optim. 20, 948-966 (2009)
    • (2009) SIAM J. Optim. , vol.20 , pp. 948-966
    • Abramson, M.A.1    Audet, C.2    Dennis Jr., J.E.3    Le Digabel, S.4
  • 9
    • 33646735420 scopus 로고    scopus 로고
    • Convergence results for generalized pattern search algorithms are tight
    • 10.1023/B:OPTE.0000033370.66768.a9
    • Audet C.: Convergence results for generalized pattern search algorithms are tight. Optim. Eng. 5, 101-122 (2004)
    • (2004) Optim. Eng. , vol.5 , pp. 101-122
    • Audet, C.1
  • 10
    • 41549113361 scopus 로고    scopus 로고
    • Spent potliner treatment process optimization using a MADS algorithm
    • 10.1007/s11081-007-9030-2
    • Audet C.; Béchard V.; Chaouki J.: Spent potliner treatment process optimization using a MADS algorithm. Optim. Eng. 9, 143-160 (2008)
    • (2008) Optim. Eng. , vol.9 , pp. 143-160
    • Audet, C.1    Béchard, V.2    Chaouki, J.3
  • 11
    • 33750265086 scopus 로고    scopus 로고
    • Mesh adaptive direct search algorithms for constrained optimization
    • 10.1137/040603371
    • Audet C.; Dennis J.E. Jr: Mesh adaptive direct search algorithms for constrained optimization. SIAM J. Optim. 17, 188-217 (2006)
    • (2006) SIAM J. Optim. , vol.17 , pp. 188-217
    • Audet, C.1    Dennis Jr., J.E.2
  • 12
    • 70450216951 scopus 로고    scopus 로고
    • A progressive barrier for derivative-free nonlinear programming
    • 10.1137/070692662
    • Audet C.; Dennis J.E. Jr: A progressive barrier for derivative-free nonlinear programming. SIAM J. Optim. 20, 445-472 (2009)
    • (2009) SIAM J. Optim. , vol.20 , pp. 445-472
    • Audet, C.1    Dennis Jr., J.E.2
  • 13
    • 84879689426 scopus 로고    scopus 로고
    • Master's thesis, Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh
    • Awasthi, S.: Molecular Docking by Derivative-Free Optimization Solver. Master's thesis, Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh (2008)
    • (2008) Molecular Docking by Derivative-Free Optimization Solver
    • Awasthi, S.1
  • 14
    • 85087225247 scopus 로고    scopus 로고
    • Impact of sampling techniques selection on the creation of response surface models
    • Barros P.A. Jr, Kirby M.R.; Mavris D.N.: Impact of sampling techniques selection on the creation of response surface models. SAE Trans. J. Aerosp. 113, 1682-1693 (2004)
    • (2004) SAE Trans. J. Aerosp. , vol.113 , pp. 1682-1693
    • Barros Jr., P.A.1    Kirby, M.R.2    Mavris, D.N.3
  • 17
    • 0001229875 scopus 로고
    • Hit-and-run algorithms for generating multivariate distributions
    • 10.1287/moor.18.2.255
    • Bélisle C.J.; Romeijn H.E.; Smith R.L.: Hit-and-run algorithms for generating multivariate distributions. Math. Oper. Res. 18, 255-266 (1993)
    • (1993) Math. Oper. Res. , vol.18 , pp. 255-266
    • Bélisle, C.J.1    Romeijn, H.E.2    Smith, R.L.3
  • 18
    • 0003766242 scopus 로고
    • PhD thesis, Department of Computer and Communication Sciences, University of Michigan, Ann Arbor
    • Bethke, J.D.: Genetic Algorithms as Function Optimizers. PhD thesis, Department of Computer and Communication Sciences, University of Michigan, Ann Arbor (1980)
    • (1980) Genetic Algorithms As Function Optimizers
    • Bethke, J.D.1
  • 19
    • 0008284021 scopus 로고    scopus 로고
    • Global optimization of costly nonconvex functions using radial basis functions
    • 10.1023/A:1011584207202
    • Björkman M.; Holmström K.: Global optimization of costly nonconvex functions using radial basis functions. Optim. Eng. 1, 373-397 (2000)
    • (2000) Optim. Eng. , vol.1 , pp. 373-397
    • Björkman, M.1    Holmström, K.2
  • 21
    • 20044392723 scopus 로고
    • Constraints' redundancy and feasible region boundedness by random feasible point generator (RFPG)
    • Amsterdam
    • Boneh, A.; Golan, A.: Constraints' redundancy and feasible region boundedness by random feasible point generator (RFPG). In: 3rd European Congress on Operations Research (EURO III), Amsterdam (1979)
    • (1979) 3rd European Congress on Operations Research (EURO III)
    • Boneh, A.1    Golan, A.2
  • 24
    • 33751334797 scopus 로고    scopus 로고
    • Reliability based design optimization using design explorer
    • 10.1023/B:OPTE.0000033374.31878.15
    • Booker A.J.; Meckesheimer M.; Torng T.: Reliability based design optimization using design explorer. Optim. Eng. 5, 179-205 (2004)
    • (2004) Optim. Eng. , vol.5 , pp. 179-205
    • Booker, A.J.1    Meckesheimer, M.2    Torng, T.3
  • 27
    • 0000305088 scopus 로고
    • A limit theorem for a class of inhomogeneous Markov processes
    • 10.1214/aop/1176991169
    • Chiang T.; Chow Y.: A limit theorem for a class of inhomogeneous Markov processes. Ann. Probab. 17, 1483-1502 (1989)
    • (1989) Ann. Probab. , vol.17 , pp. 1483-1502
    • Chiang, T.1    Chow, Y.2
  • 28
    • 84879690129 scopus 로고    scopus 로고
    • COIN-OR Project. Derivative Free Optimization
    • COIN-OR Project. Derivative Free Optimization. http://projects.coin-or. org/Dfo
  • 29
    • 84879684622 scopus 로고    scopus 로고
    • COIN-OR Project. IPOPT 2.3.x A software package for large-scale nonlinear optimization
    • COIN-OR Project. IPOPT 2.3.x A software package for large-scale nonlinear optimization. http://www.coin-or.org/Ipopt/ipopt-fortran.html
  • 30
    • 0038957275 scopus 로고
    • Performance of a multifrontal scheme for partially separable optimization
    • S. Gomez J.- Hennart (eds) Kluwer Dordrecht 10.1007/978-94-015-8330-5-6
    • Conn A.R.; Gould N.; Lescrenier M.; Toint Ph.L.: Performance of a multifrontal scheme for partially separable optimization. In: Gomez, S.; Hennart, J.-P. (eds) Advances in Optimization and Numerical Analysis, pp. 79-96. Kluwer, Dordrecht (1994)
    • (1994) Advances in Optimization and Numerical Analysis , pp. 79-96
    • Conn, A.R.1    Gould, N.2    Lescrenier, M.3    Toint, Ph.L.4
  • 31
    • 0002215475 scopus 로고    scopus 로고
    • On the convergence of derivative-free methods for unconstrained optimization
    • M.D. Buhmann A. Iserles (eds) Cambridge University Press Cambridge
    • Conn A.R.; Scheinberg K.; Toint P.L.: On the convergence of derivative-free methods for unconstrained optimization. In: Buhmann, M.D.; Iserles, A. (eds) Approximation Theory and Optimization, Tribute to M. J. D. Powell, pp. 83-108. Cambridge University Press, Cambridge (1996)
    • (1996) Approximation Theory and Optimization, Tribute to M. J. D. Powell , pp. 83-108
    • Conn, A.R.1    Scheinberg, K.2    Toint, P.L.3
  • 32
    • 0242609515 scopus 로고    scopus 로고
    • Recent progress in unconstrained nonlinear optimization without derivatives
    • Conn A.R.; Scheinberg K.; Toint P.L.: Recent progress in unconstrained nonlinear optimization without derivatives. Math. Program. 79, 397-414 (1997)
    • (1997) Math. Program. , vol.79 , pp. 397-414
    • Conn, A.R.1    Scheinberg, K.2    Toint, P.L.3
  • 34
    • 70450200040 scopus 로고    scopus 로고
    • Global convergence of general derivative-free trust-region algorithms to first and second order critical points
    • 10.1137/060673424
    • Conn A.R.; Scheinberg K.; Vicente L.N.: Global convergence of general derivative-free trust-region algorithms to first and second order critical points. SIAM J. Optim. 20, 387-415 (2009)
    • (2009) SIAM J. Optim. , vol.20 , pp. 387-415
    • Conn, A.R.1    Scheinberg, K.2    Vicente, L.N.3
  • 36
    • 0012933542 scopus 로고    scopus 로고
    • SDO: A statistical method for global optimization
    • (Hampton, VA, 1995) SIAM, Philadelphia
    • Cox, D.D.; John, S.: SDO: A statistical method for global optimization. In: Multidisciplinary Design Optimization (Hampton, VA, 1995), pp. 315-329. SIAM, Philadelphia (1997)
    • (1997) Multidisciplinary Design Optimization , pp. 315-329
    • Cox, D.D.1    John, S.2
  • 37
    • 45849127259 scopus 로고    scopus 로고
    • The GLOBAL optimization method revisited
    • 10.1007/s11590-007-0072-3
    • Csendes T.; Pál L.; Sendín J.O.H.; Banga J.R.: The GLOBAL optimization method revisited. Optim. Lett. 2, 445-454 (2008)
    • (2008) Optim. Lett. , vol.2 , pp. 445-454
    • Csendes, T.1    Pál, L.2    Sendín, J.O.H.3    Banga, J.R.4
  • 38
    • 55849136587 scopus 로고    scopus 로고
    • Using simplex gradients of nonsmooth functions in direct search methods
    • 10.1093/imanum/drn045
    • Custódio A.L.; Dennis J.E. Jr, Vicente L.N.: Using simplex gradients of nonsmooth functions in direct search methods. IMA J. Numer. Anal. 28, 770-784 (2008)
    • (2008) IMA J. Numer. Anal. , vol.28 , pp. 770-784
    • Custódio, A.L.1    Dennis Jr., J.E.2    Vicente, L.N.3
  • 40
    • 34548504938 scopus 로고    scopus 로고
    • Using sampling and simplex derivatives in pattern search methods
    • Custódio, A.L.; Vicente, L.N.: Using sampling and simplex derivatives in pattern search methods. SIAM J. Optim. 18, 537-555 (2007)
    • (2007) SIAM J. Optim , vol.18 , pp. 537-555
    • Custódio, A.L.1    Vicente, L.N.2
  • 42
    • 0010827617 scopus 로고
    • A review of simplex optimization in analytical chemistry
    • 10.1080/10408347808085705
    • Deming S.N.; Parker L.R. Jr, Denton M.B.: A review of simplex optimization in analytical chemistry. Crit. Rev. Anal. Chem. 7, 187-202 (1974)
    • (1974) Crit. Rev. Anal. Chem. , vol.7 , pp. 187-202
    • Deming, S.N.1    Parker Jr., L.R.2    Denton, M.B.3
  • 43
    • 84879692356 scopus 로고    scopus 로고
    • Master's thesis, Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh
    • Desai, R.: A Comparison of Algorithms for Optimizing the Omega Function. Master's thesis, Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh (2010)
    • (2010) A Comparison of Algorithms for Optimizing the Omega Function
    • Desai, R.1
  • 46
    • 33947119065 scopus 로고    scopus 로고
    • A hybrid simplex search and particle swarm optimization for unconstrained optimization
    • 10.1016/j.ejor.2006.06.034
    • Fan S.S.; Zahara E.: A hybrid simplex search and particle swarm optimization for unconstrained optimization. Eur. J. Oper. Res. 181, 527-548 (2007)
    • (2007) Eur. J. Oper. Res. , vol.181 , pp. 527-548
    • Fan, S.S.1    Zahara, E.2
  • 47
    • 33750362153 scopus 로고    scopus 로고
    • Additive scaling and the DIRECT algorithm
    • 10.1007/s10898-006-9029-9
    • Finkel D.E.; Kelley C.T.: Additive scaling and the DIRECT algorithm. J. Glob. Optim. 36, 597-608 (2006)
    • (2006) J. Glob. Optim. , vol.36 , pp. 597-608
    • Finkel, D.E.1    Kelley, C.T.2
  • 49
    • 0005621612 scopus 로고    scopus 로고
    • PhD thesis, Department of Mathematics, North Carolina State University, Raleigh
    • Gablonsky, J.M.: Modifications of the DIRECT Algorithm. PhD thesis, Department of Mathematics, North Carolina State University, Raleigh (2001)
    • (2001) Modifications of the DIRECT Algorithm
    • Gablonsky, J.M.1
  • 50
    • 0001153894 scopus 로고
    • An implicit filtering algorithm for optimization of functions with many local minima
    • 10.1137/0805015
    • Gilmore P.; Kelley C.T.: An implicit filtering algorithm for optimization of functions with many local minima. SIAM J. Optim. 5, 269-285 (1995)
    • (1995) SIAM J. Optim. , vol.5 , pp. 269-285
    • Gilmore, P.1    Kelley, C.T.2
  • 51
    • 84879695348 scopus 로고    scopus 로고
    • GLOBAL Library
    • GLOBAL Library. http://www.gamsworld.org/global/globallib.htm
  • 52
    • 10044251056 scopus 로고    scopus 로고
    • Optimizing an empirical scoring function for transmembrane protein structure determination
    • 10.1287/ijoc.1040.0102
    • Gray G.; Kolda T.; Sale K.; Young M.: Optimizing an empirical scoring function for transmembrane protein structure determination. INFORMS J. Comput. 16, 406-418 (2004)
    • (2004) INFORMS J. Comput. , vol.16 , pp. 406-418
    • Gray, G.1    Kolda, T.2    Sale, K.3    Young, M.4
  • 53
    • 0035269549 scopus 로고    scopus 로고
    • A radial basis function method for global optimization
    • 10.1023/A:1011255519438
    • Gutmann H.-M.: A radial basis function method for global optimization. J. Glob. Optim. 19, 201-227 (2001)
    • (2001) J. Glob. Optim. , vol.19 , pp. 201-227
    • Gutmann, H.-M.1
  • 56
    • 33845271655 scopus 로고    scopus 로고
    • The CMA evolution strategy: A comparing review
    • J.A. Lozano Larranaga I. Inza E. Bengoetxea (eds) Springer Berlin 10.1007/3-540-32494-1-4
    • Hansen N.: The CMA evolution strategy: a comparing review. In: Lozano, J.A.; Larranaga, P.; Inza, I.; Bengoetxea, E. (eds) Towards a New Evolutionary Computation. Advances on Estimation of Distribution Algorithms, pp. 75-102. Springer, Berlin (2006)
    • (2006) Towards A New Evolutionary Computation. Advances on Estimation of Distribution Algorithms , pp. 75-102
    • Hansen, N.1
  • 57
    • 2942691398 scopus 로고    scopus 로고
    • Catalytic combustion kinetics: Using a direct search algorithm to evaluate kinetic parameters from light-off curves
    • 10.1002/cjce.5450810608
    • Hayes R.E.; Bertrand F.H.; Audet C.; Kolaczkowski S.T.: Catalytic combustion kinetics: using a direct search algorithm to evaluate kinetic parameters from light-off curves. Can. J. Chem. Eng. 81, 1192-1199 (2003)
    • (2003) Can. J. Chem. Eng. , vol.81 , pp. 1192-1199
    • Hayes, R.E.1    Bertrand, F.H.2    Audet, C.3    Kolaczkowski, S.T.4
  • 59
    • 84879692184 scopus 로고    scopus 로고
    • Holmström, K.: Private Communication (2009)
    • Holmström, K.: Private Communication (2009)
  • 63
    • 54049121839 scopus 로고    scopus 로고
    • An adaptive radial basis algorithm (ARBF) for expensive black-box mixed-integer constrained global optimization
    • 10.1007/s11081-008-9037-3
    • Holmström K.; Quttineh N.-H.; Edvall M.M.: An adaptive radial basis algorithm (ARBF) for expensive black-box mixed-integer constrained global optimization. Optim. Eng. 9, 311-339 (2008)
    • (2008) Optim. Eng. , vol.9 , pp. 311-339
    • Holmström, K.1    Quttineh, N.-H.2    Edvall, M.M.3
  • 64
    • 84938447945 scopus 로고
    • Direct search solution of numerical and statistical problems
    • 10.1145/321062.321069
    • Hooke R.; Jeeves T.A.: Direct search solution of numerical and statistical problems. J. Assoc. Comput. Mach. 8, 212-219 (1961)
    • (1961) J. Assoc. Comput. Mach. , vol.8 , pp. 212-219
    • Hooke, R.1    Jeeves, T.A.2
  • 65
    • 0000951235 scopus 로고    scopus 로고
    • Global optimization by multilevel coordinate search
    • 10.1023/A:1008382309369
    • Huyer W.; Neumaier A.: Global optimization by multilevel coordinate search. J. Glob. Optim. 14, 331-355 (1999)
    • (1999) J. Glob. Optim. , vol.14 , pp. 331-355
    • Huyer, W.1    Neumaier, A.2
  • 66
    • 48849107878 scopus 로고    scopus 로고
    • SNOBFIT - Stable noisy optimization by branch and fit
    • 10.1145/1377612.1377613
    • Huyer W.; Neumaier A.: SNOBFIT - Stable noisy optimization by branch and fit. ACM Trans. Math. Softw. 35, 1-25 (2008)
    • (2008) ACM Trans. Math. Softw. , vol.35 , pp. 1-25
    • Huyer, W.1    Neumaier, A.2
  • 67
    • 55949088858 scopus 로고    scopus 로고
    • Finding local optima of high-dimensional functions using direct search methods
    • 10.1016/j.ejor.2008.01.039
    • Hvattum L.M.; Glover F.: Finding local optima of high-dimensional functions using direct search methods. Eur. J. Oper. Res. 195, 31-45 (2009)
    • (2009) Eur. J. Oper. Res. , vol.195 , pp. 31-45
    • Hvattum, L.M.1    Glover, F.2
  • 69
    • 0037835047 scopus 로고
    • A Random Search Optimizer with an Application to a Max-Min Problem
    • Pulications of the Institute for Applied Mathematics, University of Turku
    • Järvi, T.: A Random Search Optimizer with an Application to a Max-Min Problem. Technical report, Pulications of the Institute for Applied Mathematics, University of Turku (1973)
    • (1973) Technical Report
    • Järvi, T.1
  • 70
    • 0035577808 scopus 로고    scopus 로고
    • A taxonomy of global optimization methods based on response surfaces
    • 10.1023/A:1012771025575
    • Jones D.R.: A taxonomy of global optimization methods based on response surfaces. J. Glob. Optim. 21, 345-383 (2001)
    • (2001) J. Glob. Optim. , vol.21 , pp. 345-383
    • Jones, D.R.1
  • 71
    • 0000518270 scopus 로고    scopus 로고
    • The DIRECT global optimization algorithm
    • Floudas, C.A.; Pardalos, P.M. (eds.) Kluwer, Boston
    • Jones, D.R.: The DIRECT global optimization algorithm. In: Floudas, C.A.; Pardalos, P.M. (eds.) Encyclopedia of Optimization, vol. 1, pp. 431-440. Kluwer, Boston (2001)
    • (2001) Encyclopedia of Optimization , vol.1 , pp. 431-440
    • Jones, D.R.1
  • 72
    • 0027678534 scopus 로고
    • Lipschitzian optimization without the Lipschitz constant
    • 10.1007/BF00941892
    • Jones D.R.; Perttunen C.D.; Stuckman B.E.: Lipschitzian optimization without the Lipschitz constant. J. Optim. Theory Appl. 79, 157-181 (1993)
    • (1993) J. Optim. Theory Appl. , vol.79 , pp. 157-181
    • Jones, D.R.1    Perttunen, C.D.2    Stuckman, B.E.3
  • 73
    • 0000561424 scopus 로고    scopus 로고
    • Efficient global optimization of expensive black-box functions
    • 10.1023/A:1008306431147
    • Jones D.R.; Schonlau M.; Welch W.J.: Efficient global optimization of expensive black-box functions. J. Glob. Optim. 13, 455-492 (1998)
    • (1998) J. Glob. Optim. , vol.13 , pp. 455-492
    • Jones, D.R.1    Schonlau, M.2    Welch, W.J.3
  • 75
    • 0033274347 scopus 로고    scopus 로고
    • Detection and remediation of stagnation in the Nelder-Mead algorithm using a sufficient decrease condition
    • 10.1137/S1052623497315203
    • Kelley C.T.: Detection and remediation of stagnation in the Nelder-Mead algorithm using a sufficient decrease condition. SIAM J. Optim. 10, 43-55 (1999)
    • (1999) SIAM J. Optim. , vol.10 , pp. 43-55
    • Kelley, C.T.1
  • 78
    • 26444479778 scopus 로고
    • Optimization by simulated annealing
    • 10.1126/science.220.4598.671
    • Kirkpatrick S.; Gelatt C.D.; Vecchi M.P.: Optimization by simulated annealing. Science 220, 671-680 (1983)
    • (1983) Science , vol.220 , pp. 671-680
    • Kirkpatrick, S.1    Gelatt, C.D.2    Vecchi, M.P.3
  • 79
    • 0242667172 scopus 로고    scopus 로고
    • Optimization by direct search: New perspectives on some classical and modern methods
    • 10.1137/S003614450242889
    • Kolda T.G.; Lewis R.M.; Torczon V.J.: Optimization by direct search: new perspectives on some classical and modern methods. SIAM Rev. 45, 385-482 (2003)
    • (2003) SIAM Rev. , vol.45 , pp. 385-482
    • Kolda, T.G.1    Lewis, R.M.2    Torczon, V.J.3
  • 80
    • 9944247276 scopus 로고    scopus 로고
    • On the convergence of asynchronous parallel pattern search
    • 10.1137/S1052623401398107
    • Kolda T.G.; Torczon V.J.: On the convergence of asynchronous parallel pattern search. SIAM J. Optim. 14, 939-964 (2004)
    • (2004) SIAM J. Optim. , vol.14 , pp. 939-964
    • Kolda, T.G.1    Torczon, V.J.2
  • 81
    • 0032251894 scopus 로고    scopus 로고
    • Convergence properties of the Nelder-Mead simplex method in low dimensions
    • 10.1137/S1052623496303470
    • Lagarias J.C.; Reeds J.A.; Wright M.H.; Wright P.E.: Convergence properties of the Nelder-Mead simplex method in low dimensions. SIAM J. Optim. 9, 112-147 (1998)
    • (1998) SIAM J. Optim. , vol.9 , pp. 112-147
    • Lagarias, J.C.1    Reeds, J.A.2    Wright, M.H.3    Wright, P.E.4
  • 82
    • 84879686539 scopus 로고    scopus 로고
    • NOMAD User Guide Version 3.3
    • Les Cahiers du GERAD
    • LeDigabel, S.: NOMAD User Guide Version 3.3. Technical report, Les Cahiers du GERAD (2009)
    • (2009) Technical Report
    • Ledigabel, S.1
  • 83
    • 0033412824 scopus 로고    scopus 로고
    • Pattern search algorithms for bound constrained minimization
    • 10.1137/S1052623496300507
    • Lewis R.M.; Torczon V.J.: Pattern search algorithms for bound constrained minimization. SIAM J. Optim. 9, 1082-1099 (1999)
    • (1999) SIAM J. Optim. , vol.9 , pp. 1082-1099
    • Lewis, R.M.1    Torczon, V.J.2
  • 84
    • 0034412352 scopus 로고    scopus 로고
    • Pattern search algorithms for linearly constrained minimization
    • 10.1137/S1052623497331373
    • Lewis R.M.; Torczon V.J.: Pattern search algorithms for linearly constrained minimization. SIAM J. Optim. 10, 917-941 (2000)
    • (2000) SIAM J. Optim. , vol.10 , pp. 917-941
    • Lewis, R.M.1    Torczon, V.J.2
  • 85
    • 0036436111 scopus 로고    scopus 로고
    • A globally convergent augmented lagrangian pattern search algorithm for optimization with general constraints and simple bounds
    • 10.1137/S1052623498339727
    • Lewis R.M.; Torczon V.J.: A globally convergent augmented lagrangian pattern search algorithm for optimization with general constraints and simple bounds. SIAM J. Optim. 12, 1075-1089 (2002)
    • (2002) SIAM J. Optim. , vol.12 , pp. 1075-1089
    • Lewis, R.M.1    Torczon, V.J.2
  • 86
    • 0002802385 scopus 로고
    • Genetic algorithms: Foundations and applications
    • 10.1007/BF02022092
    • Liepins G.E.; Hilliard M.R.: Genetic algorithms: foundations and applications. Ann. Oper. Res. 21, 31-58 (1989)
    • (1989) Ann. Oper. Res. , vol.21 , pp. 31-58
    • Liepins, G.E.1    Hilliard, M.R.2
  • 87
    • 68949107822 scopus 로고    scopus 로고
    • The global solver in the LINDO API
    • 10.1080/10556780902753221
    • Lin Y.; Schrage L.: The global solver in the LINDO API. Optim. Methods Softw. 24, 657-668 (2009)
    • (2009) Optim. Methods Softw. , vol.24 , pp. 657-668
    • Lin, Y.1    Schrage, L.2
  • 88
    • 0037289078 scopus 로고    scopus 로고
    • On the global convergence of derivative-free methods for unconstrained minimization
    • 10.1137/S1052623497330392
    • Lucidi S.; Sciandrone M.: On the global convergence of derivative-free methods for unconstrained minimization. SIAM J. Optim. 13, 97-116 (2002)
    • (2002) SIAM J. Optim. , vol.13 , pp. 97-116
    • Lucidi, S.1    Sciandrone, M.2
  • 89
    • 4043154785 scopus 로고    scopus 로고
    • Test Problems for Nonsmooth Unconstrained and Linearly Constrained Optimization
    • Institute of Computer Science, Academy of Sciences of the Czech Republic
    • Lukšan, L.; Vlček, J.: Test Problems for Nonsmooth Unconstrained and Linearly Constrained Optimization. Technical report, Institute of Computer Science, Academy of Sciences of the Czech Republic (2000). http://www3.cs.cas.cz/ics/reports/v798-00.ps
    • (2000) Technical Report
    • Lukšan, L.1    Vlček, J.2
  • 90
    • 40249118214 scopus 로고    scopus 로고
    • A computational framework for derivative-free optimization of cardiovascular geometries
    • 10.1016/j.cma.2007.12.009
    • Marsden A.L.; Feinstein J.A.; Taylor C.A.: A computational framework for derivative-free optimization of cardiovascular geometries. Comput. Methods Appl. Mech. Eng. 197, 1890-1905 (2008)
    • (2008) Comput. Methods Appl. Mech. Eng. , vol.197 , pp. 1890-1905
    • Marsden, A.L.1    Feinstein, J.A.2    Taylor, C.A.3
  • 91
    • 7244230335 scopus 로고    scopus 로고
    • Optimal aeroacustic shape design using the surrogate management framework
    • 10.1023/B:OPTE.0000033376.89159.65
    • Marsden A.L.; Wang M.; Dennis J.E. Jr, Moin P.: Optimal aeroacustic shape design using the surrogate management framework. Optim. Eng. 5, 235-262 (2004)
    • (2004) Optim. Eng. , vol.5 , pp. 235-262
    • Marsden, A.L.1    Wang, M.2    Dennis Jr., J.E.3    Moin, P.4
  • 92
    • 84879692265 scopus 로고    scopus 로고
    • Trailing-edge noise reduction using derivative-free optimization and large-eddy simulation
    • Marsden A.L.; Wang M.; Dennis J.E. Jr, Moin P.: Trailing-edge noise reduction using derivative-free optimization and large-eddy simulation. J. Fluid Mech. 5, 235-262 (2007)
    • (2007) J. Fluid Mech. , vol.5 , pp. 235-262
    • Marsden, A.L.1    Wang, M.2    Dennis Jr., J.E.3    Moin, P.4
  • 93
    • 84865486245 scopus 로고
    • Principles of geostatistics
    • 10.2113/gsecongeo.58.8.1246
    • Matheron G.: Principles of geostatistics. Econ. Geol. 58, 1246-1266 (1967)
    • (1967) Econ. Geol. , vol.58 , pp. 1246-1266
    • Matheron, G.1
  • 94
    • 0032252855 scopus 로고    scopus 로고
    • Convergence of the Nelder-Mead simplex method to a nonstationary point
    • 10.1137/S1052623496303482
    • McKinnon K.I.M.: Convergence of the Nelder-Mead simplex method to a nonstationary point. SIAM J. Optim. 9, 148-158 (1998)
    • (1998) SIAM J. Optim. , vol.9 , pp. 148-158
    • McKinnon, K.I.M.1
  • 96
    • 0033652056 scopus 로고    scopus 로고
    • Comparison of public-domain software for black box global optimization
    • 10.1080/10556780008805783
    • Mongeau M.; Karsenty H.; Rouzé V.; Hiriart-Urruty J.B.: Comparison of public-domain software for black box global optimization. Optim. Methods Softw. 13, 203-226 (2000)
    • (2000) Optim. Methods Softw. , vol.13 , pp. 203-226
    • Mongeau, M.1    Karsenty, H.2    Rouzé, V.3    Hiriart-Urruty, J.B.4
  • 97
    • 68949099095 scopus 로고    scopus 로고
    • Benchmarking derivative-free optimization algorithms
    • Moré, J.; Wild, S.: Benchmarking derivative-free optimization algorithms. SIAM J. Optim. 20, 172-191 (2009)
    • (2009) SIAM J. Optim , vol.20 , pp. 172-191
    • Moré, J.1    Wild, S.2
  • 98
    • 29944433778 scopus 로고    scopus 로고
    • Comparison of function approximation, heuristic, and derivative-based methods for automatic calibration of computationally expensive groundwater bioremediation models
    • 10.1029/2005WR004134
    • Mugunthan P.; Shoemaker C.A.; Regis R.G.: Comparison of function approximation, heuristic, and derivative-based methods for automatic calibration of computationally expensive groundwater bioremediation models. Water Resour. Res. 41, W11427 (2005)
    • (2005) Water Resour. Res. , vol.41 , pp. 11427
    • Mugunthan, P.1    Shoemaker, C.A.2    Regis, R.G.3
  • 99
    • 0000238336 scopus 로고
    • A simplex method for function minimization
    • 10.1093/comjnl/7.4.308
    • Nelder J.A.; Mead R.: A simplex method for function minimization. Comput. J. 7, 308-313 (1965)
    • (1965) Comput. J. , vol.7 , pp. 308-313
    • Nelder, J.A.1    Mead, R.2
  • 100
    • 57649169327 scopus 로고    scopus 로고
    • Gradient methods for minimizing composite objective function
    • Nesterov, Y.: Gradient methods for minimizing composite objective function. CORE Discussion Paper 2007/76 (2007)
    • (2007) CORE Discussion Paper 2007/76
    • Nesterov, Y.1
  • 102
    • 21144454169 scopus 로고    scopus 로고
    • A comparison of complete global optimization solvers
    • 10.1007/s10107-005-0585-4
    • Neumaier A.; Shcherbina O.; Huyer W.; Vinkó T.: A comparison of complete global optimization solvers. Math. Program. 103, 335-356 (2005)
    • (2005) Math. Program. , vol.103 , pp. 335-356
    • Neumaier, A.1    Shcherbina, O.2    Huyer, W.3    Vinkó, T.4
  • 104
    • 0036178386 scopus 로고    scopus 로고
    • Finite-time performance analysis of static simulated annealing algorithms
    • 10.1023/A:1013544329096
    • Orosz J.E.; Jacobson S.H.: Finite-time performance analysis of static simulated annealing algorithms. Comput. Optim. Appl. 21, 21-53 (2002)
    • (2002) Comput. Optim. Appl. , vol.21 , pp. 21-53
    • Orosz, J.E.1    Jacobson, S.H.2
  • 109
    • 0001770043 scopus 로고
    • A direct search optimization method that models the objective and constraint functions by linear interpolation
    • S. Gomez J- Hennart (eds) Kluwer Dordrecht 10.1007/978-94-015-8330-5-4
    • Powell M.J.D.: A direct search optimization method that models the objective and constraint functions by linear interpolation. In: Gomez, S.; Hennart, J-P. (eds) (eds.) Advances in Optimization and Numerical Analysis, pp. 51-67. Kluwer, Dordrecht (1994)
    • (1994) (Eds.) Advances in Optimization and Numerical Analysis , pp. 51-67
    • Powell, M.J.D.1
  • 110
    • 3042709992 scopus 로고
    • A direct search optimization method that models the objective by quadratic interpolation
    • Powell, M.J.D.: A direct search optimization method that models the objective by quadratic interpolation. In: Presentation at the 5th Stockholm Optimization Days (1994)
    • (1994) Presentation at the 5th Stockholm Optimization Days
    • Powell, M.J.D.1
  • 111
    • 0346226587 scopus 로고    scopus 로고
    • Recent Research at Cambridge on Radial Basis Functions
    • Department of Applied Mathematics and Theoretical Physics, University of Cambridge
    • Powell, M.J.D.: Recent Research at Cambridge on Radial Basis Functions. Technical report, Department of Applied Mathematics and Theoretical Physics, University of Cambridge (1998)
    • (1998) Technical Report
    • Powell, M.J.D.1
  • 112
    • 0041711007 scopus 로고    scopus 로고
    • UOBYQA: Unconstrained optimization by quadratic approximation
    • 10.1007/s101070100290
    • Powell M.J.D.: UOBYQA: unconstrained optimization by quadratic approximation. Math. Program. 92, 555-582 (2002)
    • (2002) Math. Program. , vol.92 , pp. 555-582
    • Powell, M.J.D.1
  • 113
    • 33846538819 scopus 로고    scopus 로고
    • The NEWUOA software for unconstrained optimization without derivatives
    • G. Di Pillo M. Roma (eds) Springer New York 10.1007/0-387-30065-1-16
    • Powell M.J.D.: The NEWUOA software for unconstrained optimization without derivatives. In: Di Pillo, G.; Roma, M. (eds) Large-Scale Nonlinear Optimization, pp. 255-297. Springer, New York (2006)
    • (2006) Large-Scale Nonlinear Optimization , pp. 255-297
    • Powell, M.J.D.1
  • 114
    • 55849131864 scopus 로고    scopus 로고
    • Developments of NEWUOA for minimization without derivatives
    • 10.1093/imanum/drm047
    • Powell M.J.D.: Developments of NEWUOA for minimization without derivatives. IMA J. Numer. Anal. 28, 649-664 (2008)
    • (2008) IMA J. Numer. Anal. , vol.28 , pp. 649-664
    • Powell, M.J.D.1
  • 115
    • 77952487199 scopus 로고    scopus 로고
    • The BOBYQA Algorithm for Bound Constrained Optimization Without Derivatives
    • Department of Applied Mathematics and Theoretical Physics, University of Cambridge
    • Powell, M.J.D.: The BOBYQA Algorithm for Bound Constrained Optimization Without Derivatives. Technical report, Department of Applied Mathematics and Theoretical Physics, University of Cambridge (2009)
    • (2009) Technical Report
    • Powell, M.J.D.1
  • 116
    • 84879688067 scopus 로고    scopus 로고
    • Princeton Library
    • Princeton Library. http://www.gamsworld.org/performance/princetonlib/ princetonlib.htm
  • 117
    • 18144371143 scopus 로고    scopus 로고
    • Constrained global optimization of expensive black box functions using radial basis functions
    • 10.1007/s10898-004-0570-0
    • Regis R.G.; Shoemaker C.A.: Constrained global optimization of expensive black box functions using radial basis functions. J. Glob. Optim. 31, 153-171 (2005)
    • (2005) J. Glob. Optim. , vol.31 , pp. 153-171
    • Regis, R.G.1    Shoemaker, C.A.2
  • 118
    • 33845330571 scopus 로고    scopus 로고
    • Improved strategies for radial basis function methods for global optimization
    • 10.1007/s10898-006-9040-1
    • Regis R.G.; Shoemaker C.A.: Improved strategies for radial basis function methods for global optimization. J. Glob. Optim. 37, 113-135 (2007)
    • (2007) J. Glob. Optim. , vol.37 , pp. 113-135
    • Regis, R.G.1    Shoemaker, C.A.2
  • 119
    • 80054748079 scopus 로고    scopus 로고
    • Improved algorithms for convex minimization in relative scale
    • to appear
    • Richtarik, P.: Improved algorithms for convex minimization in relative scale. SIAM J. Optim. (2010, to appear). http://www.optimization-online.org/DB- FILE/2009/02/2226.pdf
    • (2010) SIAM J. Optim.
    • Richtarik, P.1
  • 120
    • 80053936631 scopus 로고    scopus 로고
    • PhD thesis, Department of Industrial and Enterprise Systems Engineering, University of Illinois, Urbana May
    • Rios, L.M.: Algorithms for Derivative-Free Optimization. PhD thesis, Department of Industrial and Enterprise Systems Engineering, University of Illinois, Urbana (2009, May)
    • (2009) Algorithms for Derivative-Free Optimization
    • Rios, L.M.1
  • 121
    • 0025748279 scopus 로고
    • A theoretical framework for simulated annealing
    • 10.1007/BF01759049
    • Romeo F.; Sangiovanni-Vincentelli A.: A theoretical framework for simulated annealing. Algorithmica 6, 302-345 (1991)
    • (1991) Algorithmica , vol.6 , pp. 302-345
    • Romeo, F.1    Sangiovanni-Vincentelli, A.2
  • 122
    • 84972517827 scopus 로고
    • Design and analysis of computer experiments
    • 10.1214/ss/1177012413
    • Sacks J.; Welch W.J.; Mitchell T.J.; Wynn H.P.: Design and analysis of computer experiments. Stat. Sci. 4, 409-423 (1989)
    • (1989) Stat. Sci. , vol.4 , pp. 409-423
    • Sacks, J.1    Welch, W.J.2    Mitchell, T.J.3    Wynn, H.P.4
  • 124
    • 84879687277 scopus 로고    scopus 로고
    • Sandia National Laboratories: The Coliny Project
    • Sandia National Laboratories: The Coliny Project. https://software. sandia.gov/trac/acro/wiki/Overview/Projects
  • 126
  • 128
    • 84862225687 scopus 로고    scopus 로고
    • SAS-Pro: Simultaneous residue assignment and structure superposition for protein structure alignment
    • Shah, S.B.; Sahinidis, N.V.: SAS-Pro: Simultaneous residue assignment and structure superposition for protein structure alignment. PLoS ONE 7(5), e37493 (2012)
    • (2012) PLoS ONE , vol.7 , Issue.5
    • Shah, S.B.1    Sahinidis, N.V.2
  • 129
    • 0015401431 scopus 로고
    • A sequential method seeking the global maximum of a function
    • 10.1137/0709036
    • Shubert B.O.: A sequential method seeking the global maximum of a function. SIAM J. Numer. Anal. 9, 379-388 (1972)
    • (1972) SIAM J. Numer. Anal. , vol.9 , pp. 379-388
    • Shubert, B.O.1
  • 130
    • 0021517318 scopus 로고
    • Efficient Monte Carlo procedures for generating points uniformly distributed over bounded regions
    • 10.1287/opre.32.6.1296
    • Smith R.L.: Efficient Monte Carlo procedures for generating points uniformly distributed over bounded regions. Oper. Res. 32, 1296-1308 (1984)
    • (1984) Oper. Res. , vol.32 , pp. 1296-1308
    • Smith, R.L.1
  • 132
    • 84946640734 scopus 로고
    • Sequential application for simplex designs in optimisation and evolutionary operation
    • 10.1080/00401706.1962.10490033
    • Spendley W.; Hext G.R.; Himsworth F.R.: Sequential application for simplex designs in optimisation and evolutionary operation. Technometrics 4, 441-461 (1962)
    • (1962) Technometrics , vol.4 , pp. 441-461
    • Spendley, W.1    Hext, G.R.2    Himsworth, F.R.3
  • 133
    • 21144437792 scopus 로고    scopus 로고
    • A polyhedral branch-and-cut approach to global optimization
    • 10.1007/s10107-005-0581-8
    • Tawarmalani M.; Sahinidis N.V.: A polyhedral branch-and-cut approach to global optimization. Math. Program. 103, 225-249 (2005)
    • (2005) Math. Program. , vol.103 , pp. 225-249
    • Tawarmalani, M.1    Sahinidis, N.V.2
  • 134
    • 84964345631 scopus 로고
    • On the convergence of multidirectional search algorithms
    • 10.1137/0801010
    • Torczon V.J.: On the convergence of multidirectional search algorithms. SIAM J. Optim. 1, 123-145 (1991)
    • (1991) SIAM J. Optim. , vol.1 , pp. 123-145
    • Torczon, V.J.1
  • 135
    • 0031540855 scopus 로고    scopus 로고
    • On the convergence of pattern search algorithms
    • 10.1137/S1052623493250780
    • Torczon V.J.: On the convergence of pattern search algorithms. SIAM J. Optim. 7, 1-25 (1997)
    • (1997) SIAM J. Optim. , vol.7 , pp. 1-25
    • Torczon, V.J.1
  • 136
    • 0033267174 scopus 로고    scopus 로고
    • Fortified-descent simplicial search method: A general approach
    • 10.1137/S1052623495282857
    • Tseng P.: Fortified-descent simplicial search method: a general approach. SIAM J. Optim. 10, 269-288 (1999)
    • (1999) SIAM J. Optim. , vol.10 , pp. 269-288
    • Tseng, P.1
  • 138
    • 34548479280 scopus 로고    scopus 로고
    • A particle swarm pattern search method for bound constrained global optimization
    • 10.1007/s10898-007-9133-5
    • Vaz A.I.F.; Vicente L.N.: A particle swarm pattern search method for bound constrained global optimization. J. Glob. Optim. 39, 197-219 (2007)
    • (2007) J. Glob. Optim. , vol.39 , pp. 197-219
    • Vaz, A.I.F.1    Vicente, L.N.2
  • 139
  • 140
    • 55149125091 scopus 로고    scopus 로고
    • ORBIT: Optimization by radial basis function interpolation in trust-regions
    • 10.1137/070691814
    • Wild S.M.; Regis R.G.; Shoemaker C.A.: ORBIT: Optimization by radial basis function interpolation in trust-regions. SIAM J. Sci. Comput. 30, 3197-3219 (2008)
    • (2008) SIAM J. Sci. Comput. , vol.30 , pp. 3197-3219
    • Wild, S.M.1    Regis, R.G.2    Shoemaker, C.A.3
  • 143
    • 33748875166 scopus 로고    scopus 로고
    • Using pattern search methods for surface structure determination of nanomaterials
    • 10.1088/0953-8984/18/39/002
    • Zhao Z.; Meza J.C.; Van Hove M.: Using pattern search methods for surface structure determination of nanomaterials. J. Phys. Condens. Matter 18, 8693-8706 (2006)
    • (2006) J. Phys. Condens. Matter , vol.18 , pp. 8693-8706
    • Zhao, Z.1    Meza, J.C.2    Van Hove, M.3
  • 144
    • 84879695524 scopus 로고    scopus 로고
    • Master's thesis, Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh
    • Zheng, Y.: Pairs Trading and Portfolio Optimization. Master's thesis, Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh (2011)
    • (2011) Pairs Trading and Portfolio Optimization
    • Zheng, Y.1


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