IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v20y1978i1p53-60.html
   My bibliography  Save this article

Examination of simulation output using spectral methods

Author

Listed:
  • Duket, Steven D.
  • Pritsker, A.Alan B.

Abstract

Spectral procedures that have been developed to estimate the variance of the sample mean of simulation output are presented and evaluated. The evaluation is performed using a single server queueing situation with exponential interarrival and service times. This process is employed because theoretical values are available for use in the evaluation. In addition, the assumptions necessary to apply spectral methods are valid for this process. The results of the evaluation indicate that spectral methods produce unreliable estimates of the variance of the sample mean. Thus, it is concluded that spectral methods will not produce reliable estimates of the variance of the sample mean for general simulation output.

Suggested Citation

  • Duket, Steven D. & Pritsker, A.Alan B., 1978. "Examination of simulation output using spectral methods," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 20(1), pages 53-60.
  • Handle: RePEc:eee:matcom:v:20:y:1978:i:1:p:53-60
    DOI: 10.1016/0378-4754(78)90054-X
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037847547890054X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/0378-4754(78)90054-X?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Philip M. Morse, 1955. "Stochastic Properties of Waiting Lines," Operations Research, INFORMS, vol. 3(3), pages 255-261, August.
    2. R. W. Conway, 1963. "Some Tactical Problems in Digital Simulation," Management Science, INFORMS, vol. 10(1), pages 47-61, October.
    3. George S. Fishman & Philip J. Kiviat, 1967. "The Analysis of Simulation-Generated Time Series," Management Science, INFORMS, vol. 13(7), pages 525-557, March.
    4. Naylor, Thomas H & Wertz, Kenneth & Wonnacott, Thomas H, 1969. "Spectral Analysis of Data Generated by Simulation Experiments with Econometric Models," Econometrica, Econometric Society, vol. 37(2), pages 333-352, April.
    5. Thomas H. Naylor & Thomas H. Wonnacott, 1970. "A Comment on the Analysis of Data Generated by Simulation Experiments," Management Science, INFORMS, vol. 17(3), pages 233-235, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. George, Halkos & Ilias, Kevork, 2004. "H Ασυμπτωτική Διακύμανση Στην Εκτίμηση Του Στάσιμου Μέσου Υπό Συνθήκες Αυτοσυσχέτισης [Using the asymptotic variance to estimate the stationary mean under autocorrelation]," MPRA Paper 33324, University Library of Munich, Germany.
    2. Halkos, George & Kevork, Ilias, 2002. "Confidence intervals in stationary autocorrelated time series," MPRA Paper 31840, University Library of Munich, Germany.
    3. Halim Damerdji & David Goldsman, 1995. "Consistency of several variants of the standardized time series area variance estimator," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(8), pages 1161-1176, December.
    4. Halkos, George & Kevork, Ilias, 2006. "Estimating population means in covariance stationary process," MPRA Paper 31843, University Library of Munich, Germany.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Pat-Anthony Federico & Paul W. Figliozzi, 1981. "Computer Simulation of Social Systems," Sociological Methods & Research, , vol. 9(4), pages 513-533, May.
    2. Edgar E. Twine & James Rude & Jim Unterschultz, 2016. "Canadian Cattle Cycles and Market Shocks," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 64(1), pages 119-146, March.
    3. Barry L. Nelson, 2004. "50th Anniversary Article: Stochastic Simulation Research in Management Science," Management Science, INFORMS, vol. 50(7), pages 855-868, July.
    4. Morgan, Lucy E. & Barton, Russell R., 2022. "Fourier trajectory analysis for system discrimination," European Journal of Operational Research, Elsevier, vol. 296(1), pages 203-217.
    5. Lada, Emily K. & Wilson, James R., 2006. "A wavelet-based spectral procedure for steady-state simulation analysis," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1769-1801, November.
    6. Enver Yücesan, 1993. "Randomization tests for initialization bias in simulation output," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(5), pages 643-663, August.
    7. Xuefei Lu & Alessandro Rudi & Emanuele Borgonovo & Lorenzo Rosasco, 2020. "Faster Kriging: Facing High-Dimensional Simulators," Operations Research, INFORMS, vol. 68(1), pages 233-249, January.
    8. Kleijnen, Jack P.C., 1992. "Sensitivity analysis of simulation experiments: regression analysis and statistical design," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 34(3), pages 297-315.
    9. John D. C. Little, 2002. "Philip M. Morse and the Beginnings," Operations Research, INFORMS, vol. 50(1), pages 146-148, February.
    10. Richard E. Nance & Robert G. Sargent, 2002. "Perspectives on the Evolution of Simulation," Operations Research, INFORMS, vol. 50(1), pages 161-172, February.
    11. Pachepsky, L. B. & Haskett, J. D. & Acock, B., 1996. "An adequate model of photosynthesis--I Parameterization, validation and comparison of models," Agricultural Systems, Elsevier, vol. 50(2), pages 209-225.
    12. Mingchang Chih, 2019. "An Insight into the Data Structure of the Dynamic Batch Means Algorithm with Binary Tree Code," Mathematics, MDPI, vol. 7(9), pages 1-8, August.
    13. J Martens & R Peeters & F Put, 2009. "Analysing steady-state simulation output using vector autoregressive processes with exogenous variables," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(5), pages 696-705, May.
    14. Jacques Fontanel, 1977. "Simulation macroéconomique appliquée," Post-Print hal-03464125, HAL.
    15. repec:zbw:bofrdp:1989_023 is not listed on IDEAS
    16. Leroudier, Jacques & Parent, Michel, 1979. "Discrete event simulation modelling of computer systems for performance evaluation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 21(1), pages 50-79.
    17. Wright, A. & Dent, J. Barry, 1969. "The Application Of Simulation Techniques To The Study Of Grazing Systems," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 13(2), pages 1-10, December.
    18. O'Connell, Neil & Yor, Marc, 2001. "Brownian analogues of Burke's theorem," Stochastic Processes and their Applications, Elsevier, vol. 96(2), pages 285-304, December.
    19. Song, Wheyming T. & Chih, Mingchang, 2010. "Extended dynamic partial-overlapping batch means estimators for steady-state simulations," European Journal of Operational Research, Elsevier, vol. 203(3), pages 640-651, June.
    20. Anagnostopoulos, Dimosthenis & Dalakas, Vassilis & Nikolaidou, Mara, 2004. "A m-fold-decimation-based technique for model validation using a single system output data set," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 65(3), pages 273-288.
    21. Kleijnen, J.P.C., 2006. "Regression Models and Experimental Designs : A Tutorial for Simulation Analaysts," Discussion Paper 2006-10, Tilburg University, Center for Economic Research.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:20:y:1978:i:1:p:53-60. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.