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A Case Study for Finding an Efficient M&S Meta Model through Sequential Response Surface Methodology

축차적 반응표면 분석을 통한 M&S 메타모형 구축에 관한 사례 연구

  • Received : 2012.01.03
  • Accepted : 2012.02.07
  • Published : 2012.03.31

Abstract

In computer simulation models the output from the computer code is often deterministic, i.e., running the code twice with the same values for the input variables would give the same output. It is discussed why the response surface method with polynomial approximation for the true response function is a good approximation to the computer experiments model. A sequential strategy to find the proper reduced quadratic polynomial model is illustrated with a case study in the military war game computer simulation model.

Keywords

References

  1. 임용빈(2010), "현재의 공정조건을 향상시키기 위한 혼합물 반응표면 방법론", 품질경영학회지, 38권, 3호, pp. 413-424
  2. Batmaz, I. and Tunali, S.(2002), "Second-Order Experimental Designs for Simulation Metamodeling", SIMULATION, Vol78, pp. 699-715. https://doi.org/10.1177/0037549702078012001
  3. Kleijnen, J.P.C. and Sargent, R. G.(2000), "A Methodology for Fitting and Validating Metamodels in Simulation", European Journal of Operational Research, Vol. 120, pp. 14-29. https://doi.org/10.1016/S0377-2217(98)00392-0
  4. Kleijnen, J.P.C.(2009), "Kriging metamodeling in simulation: A review", European Journal of Operational Research, Vol. 192. pp. 707-716. https://doi.org/10.1016/j.ejor.2007.10.013
  5. Lim, Y.B., Sacks, J., Studden, W.J. and Welch, W.J. (2002), "Design and analysis of computer experiments when the output is highly correlated over the input space", Canadian J. of Statistics, Vol. 30, pp. 109-126. https://doi.org/10.2307/3315868
  6. Myers, R.H., Montgomery D.C. and Anderson-Cook, C.M.(2008), Response surface methodology, 3rd ed., Wiley, New York.
  7. Sacks, J., Schiller, S.B. and Welch, W.J.(1989), "Designs for computer experiments", Technometrics, Vol. 34, pp. 15-25
  8. Stat-Ease, Inc.(2011), Design Expert Version 8.06. Minneapolis, MN.
  9. Van Beers, W.C.M. and Kleijnen, J.P.C.(2008), "Customized Sequential Designs for Random Simulation Experiments: Kriging Metamodeling and Bootstraping", European Journal of Operational Research, Vol. 186, pp. 11099-1113. https://doi.org/10.1016/j.ejor.2007.02.035
  10. Welch, W.J., Buck, R.J., Sacks, J., Morris, M.D. and Schonlau M.(1996), "Reply to "Comments on 'Screening, predicting, and computer experiments'" [by J. M. Lucas(1996)]", Technometrics, Vol. 38, pp. 199-203. https://doi.org/10.1080/00401706.1996.10484496