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An experimental procedure for simulation response surface model identification

Published: 01 August 1987 Publication History

Abstract

An experimental method for identifying an appropriate model for a simulation response surface is presented. This technique can be used for globally identifying those factors in a simulation that have a significant influence on the output. The experiments are run in the frequency domain. A simulation model is run with input factors that oscillate at different frequencies during a run. The functional form of a response surface model for the simulation is indicated by the frequency spectrum of the output process. The statistical significance of each term in a prospective response surface model can be measured. Conditions are given for which the frequency domain approach is equivalent to ranking terms in a response surface model by their correlation with the output. Frequency domain simulation experiments typically will require many fewer computer runs than conventional run-oriented simulation experiments.

References

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Bloomfield. P. Fourier Analysis of Time Series: An Introduction. Wiley, New York, 1976.
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Chatfield, C. The Analysis of Time Series: An Introduction. 3rd. ed. Chapman and Hall, London, 1984.
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Cogliano. V.J. Sensitivity analysis and model identification in simulation studies. Ph.D. dissertation. School of Operations Research and Industrial Engineering, Cornell Univ., Ithaca, N.Y., 1982.
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Cukier, R.I., Fortuin, CM., Shuler, K.E., Petschek, A.G., and Schaibly, J.H. Study of the sensitivity of coupled reaction systems uncertainties in rate coefficients. I: Theory. I, Chem. Phys. 59, 8 (Aug. 1973), 3673-3878.
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Jacobson, S., Boss, A., and Schruben, L. The frequency selection problem in frequency domain experiments. Tech. Rep. 714, School of Operations Research and Industrial Engineering, Cornell Univ., Ithaca, N.Y., Aug. 1986.
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Schruben. L. Simulation optimization using frequency domain methods. In Proceedings of the 1986 Winter Simulation Conference, J.R. Wilson, 1.0. Henriksen. and S.D. Roberts. Eds. IEEE, 1986, pp. 366-369.
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Recommendations

Reviews

Kevin Denis Reilly

Response surface methodology is important in simulation, and frequency-based methods continue to play a significant role within it. The authors' years of experience in these methods help demonstrate how good they are. Many topics are broached, including tutorial descriptions, extensions of early proposals of the methodology, testing regimes, a stepwise approach to problems, and applications in queueing and inventory. In order, the paper includes an introduction to frequency domain experiments, an originating-domain problem (mathematical) statement, motivations, the design of experiments, analysis of these experiments, the experimental procedure for model identification, examples, and conclusions. If the reader's desire is to understand the problem-solving approach, observe demonstrations, and assess the merits of the methodology, the paper is at its best, because introductory material and examples constitute the bulk of the paper. A caveat on performance that the authors themselves provide is that “limited empirical” work has been performed to date. If the reader wishes to understand the foundations and analysis details, the authors give a good start, but the paper's references are needed. For example, in a numerical computing course, several students attempted to duplicate some of the calculations, but, though reinforced, they finished with doubts on a few details. An ideal for these students is probably access to actual demonstration code (and, perhaps, more results). Thus, on the surface the paper appears methodologically self-contained, but it could be improved. Moreover, the authors do not always clarify when they are reviewing and when they are proposing (or have proposed), making it difficult to trace the method's history and ascribe the authors' roles. The methodology's limitations and restrictions are dealt with adequately in some particulars, such as the happy circumstance that, though the method is not strictly applicable to transient systems analysis, in examples it seems robust enough to encourage its use in this case. For adaptive systems the method does not seem applicable, and the authors concentrate on areas where it works well, such as classical OR cases. Overall, the paper is quite successful in the face of the many tasks undertaken. It emerges as more than adequate fare for CACM, marred occasionally by uncompromising jargon and a tendency to be very brief on some fundamentals and on words for those wishing to implement the methodology faithfully and directly.

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Information & Contributors

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Published In

cover image Communications of the ACM
Communications of the ACM  Volume 30, Issue 8
Aug. 1987
79 pages
ISSN:0001-0782
EISSN:1557-7317
DOI:10.1145/27651
Issue’s Table of Contents
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 August 1987
Published in CACM Volume 30, Issue 8

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Cited By

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  • (2024)Multi-objective optimization design of high-speed elevator car based on aerodynamic characteristic surrogate modelFourth International Conference on Mechanical Engineering, Intelligent Manufacturing, and Automation Technology (MEMAT 2023)10.1117/12.3026275(113)Online publication date: 1-Apr-2024
  • (2023)Tutorial: Basics of MetamodelingProceedings of the Winter Simulation Conference10.5555/3643142.3643267(1516-1530)Online publication date: 10-Dec-2023
  • (2023)Tutorial: Basics of Metamodeling2023 Winter Simulation Conference (WSC)10.1109/WSC60868.2023.10408331(1516-1530)Online publication date: 10-Dec-2023
  • (2023)Optimization of the impeller of sand-ejecting fire extinguisher based on CFD-DEM simulations and Kriging modelAdvanced Powder Technology10.1016/j.apt.2022.10389834:1(103898)Online publication date: Jan-2023
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  • (2022)TutorialProceedings of the Winter Simulation Conference10.5555/3586210.3586316(1268-1282)Online publication date: 11-Dec-2022
  • (2022)Tutorial: Metamodeling for Simulation2022 Winter Simulation Conference (WSC)10.1109/WSC57314.2022.10015386(1268-1282)Online publication date: 11-Dec-2022
  • (2022)Fourier trajectory analysis for system discriminationEuropean Journal of Operational Research10.1016/j.ejor.2021.05.052296:1(203-217)Online publication date: Jan-2022
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  • (2019)An Efficient Morris Method-Based Framework for Simulation Factor ScreeningINFORMS Journal on Computing10.1287/ijoc.2018.083631:4(745-770)Online publication date: 1-Oct-2019
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