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Simulation Factor Screening Using Harmonic Analysis

Authors:

Douglas J. Morrice,

Lee W. SchrubenAuthors Info & Claims

Management Science, Volume 39, Issue 12

Pages 1459 - 1476

Published: 01 December 1993 Publication History

Abstract

In this paper, we provide a quantitative approach to Frequency Domain Methodology FDM using harmonic analysis. For a certain class of metamodels, we give the frequency domain hypothesis and develop the corresponding hypothesis test. Minimum simulation model run length information for FDM is provided for a subclass of these metamodels. We discuss factor screening designs to increase the power of the test and illustrate these designs by an example.

References

[1]

Anderson, T. W., The Statistical Analysis of Time Series, John Wiley & Sons, New York, 1971.

[2]

Brockwell, P J. and R. A. Davis, Time Series: Theory and Methods (Second Ed.), Springer-Verlag, New York, 1991.

[3]

Daley, D. J., "The Serial Correlation Coefficients of Waiting Times in a Stationary Single Server Queue," J. Australian Math. Soc, 8 (1968), 683-699.

[4]

Heidelberger, P. and P. D. Welch, "A Spectral Method for Confidence Interval Generation and Run Length Control in Simulations," Comm. ACM, 24 (1981), 233-245.

Digital Library

[5]

IMSL, IMSL STAT/ LIBRARY: FORTRAN Routines for Statistical Analysis, Version 1.0, Distributed by International Mathematical and Statistical Libraries, Inc., Houston, TX, 1987.

[6]

Jacobson, S. H., A. H. Buss, and L. W. Schruben, "Driving Frequency Selection for Frequency Domain Simulation Experiments," Operations Research, 39 (1991), 917-924.

Digital Library

[7]

Jacobson, S. H., A. H. Buss, and L. W. Schruben, D. J. Morrice, and L. W. Schruben, "The Global Simulation Clock as the Frequency Domain Experiment Index," in Proceedings of the 1988 Winter Simulation Conference, M. A. Abrams, P. L. Haigh, and J. C. Comfort (Eds.), Institute of Electrical and Electronics Engineers, San Diego, CA, 1988, 558-563.

[8]

Judge, G. G., W. E. Griffiths, R. C. Hill, H. Lutkepohl, and T. Lee, The Theory and Practice of Econometrics, Second Ed., John Wiley & Sons, New York, 1985.

[9]

Mitra, M. and S. K. Park, "Solution to the Indexing Problem of Frequency Domain Simulation Experiments," in Proceedings of the 1991 Winter Simulation Conference, B. L. Nelson, W. D. Kelton, and G. M. Clark (Eds.), Institute of Electrical and Electronics Engineers, Phoenix, AZ, 1991, 907-915.

[10]

Morrice, D. J., "On the Selection and Implementation of the Frequency Domain Experiment Index," Center for Statistical Sciences Technical Report No. 98, The University of Texas, Austin, TX, 1991.

[11]

Morrice, D. J., "Simulation Factor Screening," Ph.D. Dissertation, School of Operations Research and Industrial Engineering, Cornell University, Ithaca, NY, 1990.

[12]

Priestley, M. B., Spectral Analysis and Time Series, Volumes 1 and 2, Academic Press, San Diego, CA, 1981.

[13]

Robinson, J. K., L. W. Schruben, and J. W. Fowler, "Experimenting with Large-Scale Semiconductor Manufacturing Simulations: A Frequency Domain Approach to Factor Screening," in Proceedings of the 1993 IIE Research Conference, D. Mitta, L. Burke, G. Tonkay, J. English, J. Galliamore, and G. Klutke (Eds.), Institute of Industrial Engineers, Los Angeles, CA, 1993, 112-116.

[14]

Rosenthal, R., "Combining Results of Independent Studies," Psychological Bull., 85 (1978), 185-193.

[15]

Sargent, R. G. and T. K. Som, "Current Issues in Frequency Domain Experimentation," Management Sci., 38 (1992), 667-687.

Digital Library

[16]

Scheffé, H., The Analysis of Variance, John Wiley & Sons, New York, 1959.

[17]

Schruben, L. W. and V. J. Cogliano, "An Experimental Procedure for Simulation Response Surface Model Identification," Commu. Association for Computing Machinery, 30 (1987), 716-730.

Digital Library

[18]

Som, T. K., R. G. Sargent, and L. W. Schruben, "Frequency Domain Metamodeling of a Feedback Queue," in Proceedings of the 1987 Winter Simulation Conference, A. Thesen, H. Grant, and W. D. Kelton (Eds.), Institute of Electrical and Electronics Engineers, Atlanta, GA, 1987, 419-423.

[19]

Taylor, H. M. and S. Karlin, An Introduction to Stochastic Modeling, Academic Press, Orlando, FL, 1984.

[20]

Watson, G. S., "Linear Least Squares Regression," Ann. Math. Statistics, 38 (1967), 1679-1699.

Cited By

Barton RNakayama MSchruben L(2017)History of improving statistical efficiencyProceedings of the 2017 Winter Simulation Conference10.5555/3242181.3242193(1-23)Online publication date: 3-Dec-2017
https://dl.acm.org/doi/10.5555/3242181.3242193
Chick SNg SSnowdon JCharnes J(2002)Simulation input analysisProceedings of the 34th conference on Winter simulation: exploring new frontiers10.5555/1030453.1030509(400-406)Online publication date: 8-Dec-2002
https://dl.acm.org/doi/10.5555/1030453.1030509
Sanchez SRohrer MMedeiros DGrabau M(2001)Output modelingProceedings of the 33nd conference on Winter simulation10.5555/564124.564131(30-38)Online publication date: 9-Dec-2001
https://dl.acm.org/doi/10.5555/564124.564131
Show More Cited By

Index Terms

Simulation Factor Screening Using Harmonic Analysis
1. Applied computing
  1. Enterprise computing
    1. Business process management
2. Computing methodologies
  1. Modeling and simulation
    1. Model development and analysis

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Information & Contributors

Information

Published In

cover image Management Science

Management Science Volume 39, Issue 12

December 1993

116 pages

ISSN:0025-1909

Issue’s Table of Contents

Publisher

INFORMS

Linthicum, MD, United States

Publication History

Published: 01 December 1993

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Cited By

Barton RNakayama MSchruben L(2017)History of improving statistical efficiencyProceedings of the 2017 Winter Simulation Conference10.5555/3242181.3242193(1-23)Online publication date: 3-Dec-2017
https://dl.acm.org/doi/10.5555/3242181.3242193
Chick SNg SSnowdon JCharnes J(2002)Simulation input analysisProceedings of the 34th conference on Winter simulation: exploring new frontiers10.5555/1030453.1030509(400-406)Online publication date: 8-Dec-2002
https://dl.acm.org/doi/10.5555/1030453.1030509
Sanchez SRohrer MMedeiros DGrabau M(2001)Output modelingProceedings of the 33nd conference on Winter simulation10.5555/564124.564131(30-38)Online publication date: 9-Dec-2001
https://dl.acm.org/doi/10.5555/564124.564131
Sanchez S(1999)ABC's of output analysisProceedings of the 31st conference on Winter simulation: Simulation---a bridge to the future - Volume 110.1145/324138.324144(24-32)Online publication date: 1-Dec-1999
https://dl.acm.org/doi/10.1145/324138.324144
Barton R(1998)Simulation metamodelsProceedings of the 30th conference on Winter simulation10.5555/293172.293221(167-176)Online publication date: 1-Dec-1998
https://dl.acm.org/doi/10.5555/293172.293221
Morrice DBardhan I(1995)A Weighted Least Squares Approach to Computer Simulation Factor ScreeningOperations Research10.1287/opre.43.5.79243:5(792-806)Online publication date: 1-Oct-1995
https://dl.acm.org/doi/10.1287/opre.43.5.792
Barton RSadowski DSeila A(1994)MetamodelingProceedings of the 26th conference on Winter simulation10.5555/193201.194027(237-244)Online publication date: 11-Dec-1994
https://dl.acm.org/doi/10.5555/193201.194027

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