메뉴 건너뛰기




Volumn 34, Issue 3, 2006, Pages 441-466

Global optimization of stochastic black-box systems via sequential kriging meta-models

Author keywords

Efficient global optimization; Expected improvement; Kriging; Stochastic black box systems

Indexed keywords

FUNCTIONS; INVENTORY CONTROL; MATHEMATICAL MODELS;

EID: 33644791173     PISSN: 09255001     EISSN: 15732916     Source Type: Journal    
DOI: 10.1007/s10898-005-2454-3     Document Type: Article
Times cited : (559)

References (43)
  • 2
    • 0002123466 scopus 로고    scopus 로고
    • Simulation optimization
    • Banks, J. (ed.), Chapter 9, Wiley, New York
    • Andradóttir, S. (1998), Simulation optimization. In: Handbook on Simulation, Banks, J. (ed.), Chapter 9, Wiley, New York.
    • (1998) Handbook on Simulation
    • Andradóttir, S.1
  • 5
    • 0001446599 scopus 로고    scopus 로고
    • Nelder-Mead simplex modifications for simulation optimization
    • Barton, R.R. and Ivey, J.S. (1996), Nelder-Mead simplex modifications for simulation optimization, Management Science 42, 954-973.
    • (1996) Management Science , vol.42 , pp. 954-973
    • Barton, R.R.1    Ivey, J.S.2
  • 6
    • 0000137128 scopus 로고
    • Widely convergent methods for finding multiple solutions of simultaneous nonlinear equations
    • Branin, F.H. (1972), Widely convergent methods for finding multiple solutions of simultaneous nonlinear equations, IBM Journal of Research Developments 16, 504-522.
    • (1972) IBM Journal of Research Developments , vol.16 , pp. 504-522
    • Branin, F.H.1
  • 7
    • 0000264010 scopus 로고
    • A method for finding multiple extrema of a function of n variables
    • Lootsma, F.A. (ed.), Academic Press, London
    • Branin, F.H. and Hoo, S.K. (1972), A method for finding multiple extrema of a function of n variables. In: Lootsma, F.A. (ed.), Numerical Methods of Nonlinear Optimization, Academic Press, London, pp. 231-237.
    • (1972) Numerical Methods of Nonlinear Optimization , pp. 231-237
    • Branin, F.H.1    Hoo, S.K.2
  • 9
    • 84950437532 scopus 로고
    • Bayesian prediction of deterministic functions, with applications to the design and analysis of computer experiments
    • Currin, C., Mitchell, M., Morris, M. and Ylvisaker, D. (1991), Bayesian prediction of deterministic functions, with applications to the design and analysis of computer experiments, Journal of American Statistics Association 86, 953-963.
    • (1991) Journal of American Statistics Association , vol.86 , pp. 953-963
    • Currin, C.1    Mitchell, M.2    Morris, M.3    Ylvisaker, D.4
  • 10
  • 11
    • 34249770616 scopus 로고
    • Optimization via simulation: A review
    • Fu, M.C. (1994), Optimization via simulation: a review, Annals of Operations Research 53, 199-247.
    • (1994) Annals of Operations Research , vol.53 , pp. 199-247
    • Fu, M.C.1
  • 14
  • 15
    • 0013165096 scopus 로고    scopus 로고
    • A revised simplex search procedure for stochastic simulation response-surface optimization
    • Humphrey, D.G. and Wilson, J.R. (2000), A revised simplex search procedure for stochastic simulation response-surface optimization, INFORMS Journal on Computing 12, 272-283.
    • (2000) INFORMS Journal on Computing , vol.12 , pp. 272-283
    • Humphrey, D.G.1    Wilson, J.R.2
  • 17
    • 0000561424 scopus 로고    scopus 로고
    • Efficient global optimization of expensive black-box functions
    • Jones, D., Schonlau, M. and Welch, W. (1998), Efficient global optimization of expensive black-box functions, Journal of Global Optimization 13, 455-492.
    • (1998) Journal of Global Optimization , vol.13 , pp. 455-492
    • Jones, D.1    Schonlau, M.2    Welch, W.3
  • 19
    • 50049107306 scopus 로고    scopus 로고
    • Computer experiments
    • Ghosh, S. and Rao, C.R. (eds.), Elsevier Science B.V., Amsterdam, the Netherlands
    • Koehler, J.R. and Owen, A.B. (1996), Computer experiments. In: Ghosh, S. and Rao, C.R. (eds.), Handbook of Statistics, Vol. 13, Elsevier Science B.V., Amsterdam, the Netherlands.
    • (1996) Handbook of Statistics , vol.13
    • Koehler, J.R.1    Owen, A.B.2
  • 20
    • 84998710865 scopus 로고
    • A new method of locating the maximum point of an arbitrary multipeak curve in the presence of noise
    • Kushner, H.J. (1964), A new method of locating the maximum point of an arbitrary multipeak curve in the presence of noise, Journal of Basic Engineering 86, 97-106.
    • (1964) Journal of Basic Engineering , vol.86 , pp. 97-106
    • Kushner, H.J.1
  • 23
    • 0001249987 scopus 로고
    • On a measure of information provided by an experiment
    • Lindley, D.V. (1956), On a measure of information provided by an experiment, Annals of Mathematical Statistics 27, 986-1005.
    • (1956) Annals of Mathematical Statistics , vol.27 , pp. 986-1005
    • Lindley, D.V.1
  • 24
    • 0018468345 scopus 로고
    • A comparison of three methods for selecting values of input variables in the analysis of output from a computer code
    • McKay, M.D., Beckman, R.J. and Conover, W.J. (1979), A comparison of three methods for selecting values of input variables in the analysis of output from a computer code, Technometrics 21, 239-245.
    • (1979) Technometrics , vol.21 , pp. 239-245
    • McKay, M.D.1    Beckman, R.J.2    Conover, W.J.3
  • 25
    • 33644787884 scopus 로고    scopus 로고
    • Comparison of response surface methodology and the Nelder and Mead simplex method for optimization in microsimulation models
    • Erasmus University Rotterdam, The Netherlands
    • Neddermeijer, H.G., Piersma, N., van Oortmarssen, G.J., Habbema, J.D.F. and Dekker, R. (1999), Comparison of response surface methodology and the Nelder and Mead simplex method for optimization in microsimulation models, Econometric Institute Report EI-9924/A, Erasmus University Rotterdam, The Netherlands.
    • (1999) Econometric Institute Report , vol.EI-9924-A
    • Neddermeijer, H.G.1    Piersma, N.2    Van Oortmarssen, G.J.3    Habbema, J.D.F.4    Dekker, R.5
  • 28
    • 84972507500 scopus 로고
    • Comment: Design and analysis of computer experiments
    • O'Hagan, A. (1989), Comment: design and analysis of computer experiments, Statistic Science 4, 430-432.
    • (1989) Statistic Science , vol.4 , pp. 430-432
    • O'Hagan, A.1
  • 30
    • 0035418078 scopus 로고    scopus 로고
    • Sequential approximate optimization using variable fidelity response surface approximation
    • Springer-Verlag
    • Rodriguez, J.F., Perez, V.M., Padmanabhan, D. and Renaud, J.E. (2001), Sequential approximate optimization using variable fidelity response surface approximation, Structure Multidiscipline Optimization 22, 23-34 (Springer-Verlag).
    • (2001) Structure Multidiscipline Optimization , vol.22 , pp. 23-34
    • Rodriguez, J.F.1    Perez, V.M.2    Padmanabhan, D.3    Renaud, J.E.4
  • 31
    • 84972517827 scopus 로고
    • Design and analysis of computer experiments (with discussion)
    • Sacks, J., Welch, W.J., Mitchell, T.J. and Wynn, H.P. (1989a), Design and analysis of computer experiments (with discussion), Statistical Science 4, 409-435.
    • (1989) Statistical Science , vol.4 , pp. 409-435
    • Sacks, J.1    Welch, W.J.2    Mitchell, T.J.3    Wynn, H.P.4
  • 33
    • 0021230603 scopus 로고
    • Optimization in simulation experiments using response surface methodology
    • Safizadeh, M.H. and Thornton, B.M. (1984), Optimization in simulation experiments using response surface methodology, Comparative Industrial Engineering 8, 11-27.
    • (1984) Comparative Industrial Engineering , vol.8 , pp. 11-27
    • Safizadeh, M.H.1    Thornton, B.M.2
  • 36
    • 0036588666 scopus 로고    scopus 로고
    • Exploration of metamodeling sampling criteria for constrained global optimization
    • Sasena, M.J., Papalambros, P.Y. and Goovaerts, P. (2002), Exploration of metamodeling sampling criteria for constrained global optimization, Engineering Optimization 34, 263-278.
    • (2002) Engineering Optimization , vol.34 , pp. 263-278
    • Sasena, M.J.1    Papalambros, P.Y.2    Goovaerts, P.3
  • 39
    • 0026839090 scopus 로고
    • Multivariate stochastic approximation using a simultaneous perturbation gradient approximation
    • Spall, J.C. (1992), Multivariate stochastic approximation using a simultaneous perturbation gradient approximation, IEEE Transactions on Automatic Control 37, 332-341.
    • (1992) IEEE Transactions on Automatic Control , vol.37 , pp. 332-341
    • Spall, J.C.1
  • 40
    • 0032117046 scopus 로고    scopus 로고
    • Implementation of the simultaneous perturbation algorithm for stochastic optimization
    • Spall, J.C. (1998), Implementation of the simultaneous perturbation algorithm for stochastic optimization, IEEE Transactions on Aerospace and Electronics Systems 34, 817-823.
    • (1998) IEEE Transactions on Aerospace and Electronics Systems , vol.34 , pp. 817-823
    • Spall, J.C.1
  • 41
    • 0023349730 scopus 로고
    • Large sample properties of simulation using Latin hypercube sampling
    • Stein, M. (1987), Large sample properties of simulation using Latin hypercube sampling, Technometrics 29, 143-151.
    • (1987) Technometrics , vol.29 , pp. 143-151
    • Stein, M.1
  • 42
    • 0034550055 scopus 로고    scopus 로고
    • Sequential design of computer experiments to minimize integrated response functions
    • Williams, B.J., Santner, T.J. and Notz, W.I. (2000), Sequential design of computer experiments to minimize integrated response functions, Statistica Sinica 10, 1133-1152.
    • (2000) Statistica Sinica , vol.10 , pp. 1133-1152
    • Williams, B.J.1    Santner, T.J.2    Notz, W.I.3
  • 43
    • 27544466132 scopus 로고
    • MINUN - Optimization of one-dimensional multimodal functions in the presence of noise, algorithms 44
    • Žilinskas, A. (1980), MINUN - Optimization of one-dimensional multimodal functions in the presence of noise, algorithms 44, Aplikace Matematiky 25, 392-402.
    • (1980) Aplikace Matematiky , vol.25 , pp. 392-402
    • Žilinskas, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.