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Volumn 56, Issue 1, 2010, Pages 220-240

A centroid-based sampling strategy for kriging global modeling and optimization

Author keywords

Design; Mathematical modeling; Numerical solutions; Optimization; Simulation

Indexed keywords

ADDITIONAL SAMPLING; ALGORITHM FOR SOLVING; CLOSED-FORM EQUATIONS; DELAU-NAY TRIANGULATIONS; GRADIENT-BASED OPTIMIZATION; NUMERICAL SOLUTION; SAMPLING STRATEGIES; SIMULATION;

EID: 79958855934     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.11881     Document Type: Article
Times cited : (27)

References (27)
  • 1
    • 43449107679 scopus 로고    scopus 로고
    • A barrier-terrain methodology for global optimization
    • Lucia A, Gattupalli RR. A barrier-terrain methodology for global optimization. Ind Eng Chem Res. 2008; 47: 2666-2680.
    • (2008) Ind Eng Chem Res. , vol.47 , pp. 2666-2680
    • Lucia, A.1    Gattupalli, R.R.2
  • 2
    • 50849108815 scopus 로고    scopus 로고
    • A Kriging-based approach to MINLP containing black-box models and noise
    • Davis E, Ierapetritou M. A Kriging-based approach to MINLP containing black-box models and noise. Ind Eng Chem Res. 2008; 47: 6101-6125.
    • (2008) Ind Eng Chem Res. , vol.47 , pp. 6101-6125
    • Davis, E.1    Ierapetritou, M.2
  • 3
    • 59449104349 scopus 로고    scopus 로고
    • A kriging based method for the solution of mixed-integer nonlinear programs containing black-box functions
    • Davis E, Ierapetritou M. A kriging based method for the solution of mixed-integer nonlinear programs containing black-box functions. J Global Optim. 2009; 43: 191-205.
    • (2009) J Global Optim. , vol.43 , pp. 191-205
    • Davis, E.1    Ierapetritou, M.2
  • 4
    • 34547691033 scopus 로고    scopus 로고
    • A kriging method for the solution of nonlinear programs with black-box functions
    • Davis E, Ierapetritou M. A kriging method for the solution of nonlinear programs with black-box functions. AIChE J. 2007; 53: 2001-2012.
    • (2007) AIChE J. , vol.53 , pp. 2001-2012
    • Davis, E.1    Ierapetritou, M.2
  • 6
    • 0037065273 scopus 로고    scopus 로고
    • Global optimization with nonfactorable constraints
    • Meyer C, Floudas C, Neumaier A. Global optimization with nonfactorable constraints. Ind Eng Chem Res. 2002; 41: 6413-6424.
    • (2002) Ind Eng Chem Res. , vol.41 , pp. 6413-6424
    • Meyer, C.1    Floudas, C.2    Neumaier, A.3
  • 7
    • 0001446599 scopus 로고    scopus 로고
    • Nelder-Mead simplex modifications for simulation optimization
    • Barton RR, Ivey JS. Nelder-Mead simplex modifications for simulation optimization. Manage Sci. 1996; 42: 954-973.
    • (1996) Manage Sci. , vol.42 , pp. 954-973
    • Barton, R.R.1    Ivey, J.S.2
  • 8
    • 0027678534 scopus 로고
    • Lipschitzian optimization without the Lipschitz constant
    • Jones D, Perttunen C, Stuckman B. Lipschitzian optimization without the Lipschitz constant. J Opt Theory Appl. 1993; 79: 157-181.
    • (1993) J Opt Theory Appl. , vol.79 , pp. 157-181
    • Jones, D.1    Perttunen, C.2    Stuckman, B.3
  • 9
    • 0000951235 scopus 로고    scopus 로고
    • Global optimization by multilevel coordinate search
    • Huyer W, Neumaier A. Global optimization by multilevel coordinate search. J Global Optim. 1999; 14: 331-355.
    • (1999) J Global Optim. , vol.14 , pp. 331-355
    • Huyer, W.1    Neumaier, A.2
  • 10
    • 0142000477 scopus 로고    scopus 로고
    • Differential evolution: a simple and efficient heuristic for global optimization over continuous spaces
    • Storn R, Price K. Differential evolution: a simple and efficient heuristic for global optimization over continuous spaces. J Global Optim. 1997; 11: 341-359.
    • (1997) J Global Optim. , vol.11 , pp. 341-359
    • Storn, R.1    Price, K.2
  • 11
    • 0001153894 scopus 로고
    • An implicit filtering algorithm for optimization of functions with many local minima
    • Gilmore P, Kelley CT. An implicit filtering algorithm for optimization of functions with many local minima. SIAM J Optim. 1995; 5: 269-285.
    • (1995) SIAM J Optim. , vol.5 , pp. 269-285
    • Gilmore, P.1    Kelley, C.T.2
  • 12
    • 0034345430 scopus 로고    scopus 로고
    • Superlinear convergence and implicit filtering
    • Choi TD, Kelley CT. Superlinear convergence and implicit filtering. SIAM J Optim. 2000; 10: 1149-1162.
    • (2000) SIAM J Optim. , vol.10 , pp. 1149-1162
    • Choi, T.D.1    Kelley, C.T.2
  • 15
    • 0035269549 scopus 로고    scopus 로고
    • A radial basis function method for global optimization
    • Gutmann H-M. A radial basis function method for global optimization. J Global Optim. 2001; 19: 201-227.
    • (2001) J Global Optim. , vol.19 , pp. 201-227
    • Gutmann, H.-M.1
  • 16
    • 0035577808 scopus 로고    scopus 로고
    • A taxonomy of global optimization methods based on response surfaces
    • Jones D. A taxonomy of global optimization methods based on response surfaces. J Global Optim. 2001; 21: 345-383.
    • (2001) J Global Optim. , vol.21 , pp. 345-383
    • Jones, D.1
  • 17
    • 0000561424 scopus 로고    scopus 로고
    • Efficient global optimization of expensive black-box functions
    • Jones D, Schonlau M, Welch W. Efficient global optimization of expensive black-box functions. J Global Optim. 1998; 13: 455-492.
    • (1998) J Global Optim. , vol.13 , pp. 455-492
    • Jones, D.1    Schonlau, M.2    Welch, W.3
  • 18
    • 33845330571 scopus 로고    scopus 로고
    • Improved strategies for radial basis function methods for global optimization
    • Regis R, Shoemaker C. Improved strategies for radial basis function methods for global optimization. J Global Optim. 2007; 37: 113-135.
    • (2007) J Global Optim. , vol.37 , pp. 113-135
    • Regis, R.1    Shoemaker, C.2
  • 21
    • 33745685261 scopus 로고    scopus 로고
    • Comparison of pure and "Latinized" centroidal Voronoi tessellation against various other statistical sampling methods
    • Romero V, Burkardt J, Gunzburger M, Petersen J. Comparison of pure and "Latinized" centroidal Voronoi tessellation against various other statistical sampling methods. Rel Eng Sys Saf. 2006; 91: 1266-1280.
    • (2006) Rel Eng Sys Saf. , vol.91 , pp. 1266-1280
    • Romero, V.1    Burkardt, J.2    Gunzburger, M.3    Petersen, J.4
  • 22
    • 4043068317 scopus 로고    scopus 로고
    • Overview of modern design of experiments methods for computational simulations
    • Giunta A, Wojtkiewicz S, Eldred M. Overview of modern design of experiments methods for computational simulations. AIAA. 2003; 0649: 1-17.
    • (2003) AIAA. , vol.649 , pp. 1-17
    • Giunta, A.1    Wojtkiewicz, S.2    Eldred, M.3
  • 23
    • 0000312771 scopus 로고    scopus 로고
    • Sampling strategies for computer experiments: design and analysis
    • Simpson T, Lin D, Chen W. Sampling strategies for computer experiments: design and analysis. Int J Rel Appl. 2001; 2: 209-240.
    • (2001) Int J Rel Appl. , vol.2 , pp. 209-240
    • Simpson, T.1    Lin, D.2    Chen, W.3
  • 27
    • 0017030517 scopus 로고
    • A general method for numerically simulating the stochastic time evolution of coupled chemical reactions
    • Gillespie DT. A general method for numerically simulating the stochastic time evolution of coupled chemical reactions. J Comput Phys. 1976; 22: 403-434.
    • (1976) J Comput Phys. , vol.22 , pp. 403-434
    • Gillespie, D.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.