메뉴 건너뛰기




Volumn 13, Issue 2, 2004, Pages 499-518

Computation of confidence regions for optimal factor levels in constrained response surface problems

Author keywords

Design of experiments; Mixture experiments; Multiresponse optimization; Nelder Mead simplex method; Response surface methodology; Therapeutic synergysm

Indexed keywords


EID: 3042621165     PISSN: 10618600     EISSN: None     Source Type: Journal    
DOI: 10.1198/1061860043443     Document Type: Article
Times cited : (11)

References (26)
  • 1
    • 0001112372 scopus 로고
    • Models for the response of a mixture
    • Series B
    • Becker, N. G. (1968), "Models for the Response of a Mixture," Journal of the Royal Statistical Society, Series B, 30, 349-358.
    • (1968) Journal of the Royal Statistical Society , vol.30 , pp. 349-358
    • Becker, N.G.1
  • 2
    • 0003292556 scopus 로고
    • A confidence region for the solution of a set of simultaneous equations with an application to experimental design
    • Box, G. E. P., and Hunter, J. S. (1954), "A Confidence Region for the Solution of a Set of Simultaneous Equations with an Application to Experimental Design," Biometrika, 41, 190-199.
    • (1954) Biometrika , vol.41 , pp. 190-199
    • Box, G.E.P.1    Hunter, J.S.2
  • 3
    • 3042679596 scopus 로고
    • Inequality-constrained stationary-value problems
    • Camp, G. D. (1955), "Inequality-Constrained Stationary-Value Problems," Operation Research, 3, 548-550.
    • (1955) Operation Research , vol.3 , pp. 548-550
    • Camp, G.D.1
  • 4
  • 5
    • 0022811665 scopus 로고
    • Confidence intervals and an improved ridge analysis of response surfaces
    • Carter, W. H., Chinchilli, V. M., Myers, R. H., and Campbell, E. D. (1986), "Confidence Intervals and an Improved Ridge Analysis of Response Surfaces," Technometrics, 28, 339-346.
    • (1986) Technometrics , vol.28 , pp. 339-346
    • Carter, W.H.1    Chinchilli, V.M.2    Myers, R.H.3    Campbell, E.D.4
  • 6
    • 0018103138 scopus 로고
    • On the detection of an additive blending component in multicomponent mixtures
    • Cornell, J. A., and Gorman, J. W. (1978), "On the Detection of An Additive Blending Component in Multicomponent Mixtures," Biometrics, 34, 251-263.
    • (1978) Biometrics , vol.34 , pp. 251-263
    • Cornell, J.A.1    Gorman, J.W.2
  • 7
    • 0029733459 scopus 로고    scopus 로고
    • Multiresponse optimization via constrained confidence regions
    • Del Castillo, E. (1996), "Multiresponse Optimization via Constrained Confidence Regions," Journal of Quality Technology, 28, 61-70.
    • (1996) Journal of Quality Technology , vol.28 , pp. 61-70
    • Del Castillo, E.1
  • 8
    • 0035646792 scopus 로고    scopus 로고
    • A tool for computing confidence regions on the stationary point of a response surface
    • Del Castillo, E., and Cahya, S. (2001), "A Tool for Computing Confidence Regions on the Stationary Point of a Response Surface," The American Statistician, 55, 358-365.
    • (2001) The American Statistician , vol.55 , pp. 358-365
    • Del Castillo, E.1    Cahya, S.2
  • 9
    • 0000432952 scopus 로고
    • Simultaneous optimization of several response variables
    • Derringer, G., and Suich, R. (1980), "Simultaneous Optimization of Several Response Variables," Journal of Quality Technology, 12, 214-219.
    • (1980) Journal of Quality Technology , vol.12 , pp. 214-219
    • Derringer, G.1    Suich, R.2
  • 10
    • 0011698344 scopus 로고
    • Computational algorithm for the sequential unconstrained minimization technique for nonlinear programming
    • Fiacco, A. V., and McCormick, G. P. (1964), "Computational Algorithm for the Sequential Unconstrained Minimization Technique for Nonlinear Programming," Management Science, 10, 360-366.
    • (1964) Management Science , vol.10 , pp. 360-366
    • Fiacco, A.V.1    McCormick, G.P.2
  • 11
    • 0028605924 scopus 로고
    • Influence of nonionic surfactants on the physical and chemical properties of biodegradable pseudolatex
    • Frisbee, S. E., and McGinity, J. W. (1994), "Influence of Nonionic Surfactants on the Physical and Chemical Properties of Biodegradable Pseudolatex," European Journal of Pharmaceuticals and Biopharmaceuticals, 40, 355-363.
    • (1994) European Journal of Pharmaceuticals and Biopharmaceuticals , vol.40 , pp. 355-363
    • Frisbee, S.E.1    McGinity, J.W.2
  • 13
    • 0040595286 scopus 로고    scopus 로고
    • Confidence regions for constrained optima in response surface experiments with noise factors
    • Alexandria, VA: ASA
    • Khun, A. M. (1999), "Confidence Regions for Constrained Optima in Response Surface Experiments with Noise Factors," in Proceedings of the Section on Physical and Engineering Sciences, Alexandria, VA: ASA, pp. 61-66.
    • (1999) Proceedings of the Section on Physical and Engineering Sciences , pp. 61-66
    • Khun, A.M.1
  • 15
    • 0032251894 scopus 로고    scopus 로고
    • Convergence properties of the nelder-mead simplex method in low dimensions
    • Lagarias, J. C., Reeds, J. A., Wright, M. H., and Wright, P. E. (1998), "Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions," SIAM Journal of Optimization, 9, 112-147.
    • (1998) SIAM Journal of Optimization , vol.9 , pp. 112-147
    • Lagarias, J.C.1    Reeds, J.A.2    Wright, M.H.3    Wright, P.E.4
  • 16
    • 0032252855 scopus 로고    scopus 로고
    • Convergence of the nelder-mead simplex method to a nonstationary point
    • McKinnon, K. I. M. (1998), "Convergence of the Nelder-Mead Simplex Method to a Nonstationary Point," SIAM Journal of Optimization, 9, 148-158.
    • (1998) SIAM Journal of Optimization , vol.9 , pp. 148-158
    • McKinnon, K.I.M.1
  • 17
    • 0001485167 scopus 로고
    • Extreme vertices design of mixture experiments
    • McLean, R. A., and Anderson, V. L. (1966), "Extreme Vertices Design of Mixture Experiments," Technometrics, 8, 447-454.
    • (1966) Technometrics , vol.8 , pp. 447-454
    • McLean, R.A.1    Anderson, V.L.2
  • 19
    • 0000238336 scopus 로고
    • A simplex method for function minimization
    • Nelder, J. A., and Mead, R. (1965), "A Simplex Method for Function Minimization," Computer Journal, 7, 308-313.
    • (1965) Computer Journal , vol.7 , pp. 308-313
    • Nelder, J.A.1    Mead, R.2
  • 20
    • 0001803605 scopus 로고
    • A general approach to ridge analysis with confidence intervals
    • Peterson, J. J. (1993), "A General Approach to Ridge Analysis with Confidence Intervals," Technometrics, 35, 204-214.
    • (1993) Technometrics , vol.35 , pp. 204-214
    • Peterson, J.J.1
  • 21
    • 0040002119 scopus 로고    scopus 로고
    • A general approach to inference for optimal conditions subject to constraints
    • Alexandria, VA: ASA
    • _ (1999), "A General Approach to Inference for Optimal Conditions Subject to Constraints," in Proceedings of the Section on Physical and Engineering Sciences, Alexandria, VA: ASA, pp. 67-72.
    • (1999) Proceedings of the Section on Physical and Engineering Sciences , pp. 67-72
  • 22
    • 0035989835 scopus 로고    scopus 로고
    • A general approach to confidence regions for optimal factor levels of response surfaces
    • Peterson, J. J., Cahya, S., and Del Castillo, E. (2002), "A General Approach to Confidence Regions for Optimal Factor Levels of Response Surfaces," Biometrics, 58, 422-431.
    • (2002) Biometrics , vol.58 , pp. 422-431
    • Peterson, J.J.1    Cahya, S.2    Del Castillo, E.3
  • 23
    • 0020821523 scopus 로고
    • Confidence regions for constrained optima in response surface experiments
    • Stablein, D. L., Carter, W. H., and Wampler, G. L. (1983), "Confidence Regions for Constrained Optima in Response Surface Experiments," Biometrics, 39, 759-763.
    • (1983) Biometrics , vol.39 , pp. 759-763
    • Stablein, D.L.1    Carter, W.H.2    Wampler, G.L.3
  • 26
    • 0040848855 scopus 로고
    • An interactive approach for solving multi-objective optimization problems
    • Department of Computational and Applied Mathematics, Rice University, Houston, TX
    • Woods, D. J. (1985), "An Interactive Approach for Solving Multi-Objective Optimization Problems," Technical Report TR85-5, Department of Computational and Applied Mathematics, Rice University, Houston, TX.
    • (1985) Technical Report , vol.TR85-5
    • Woods, D.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.