IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v23y1975i1p33-45.html
   My bibliography  Save this article

Simulating Stable Stochastic Systems: III. Regenerative Processes and Discrete-Event Simulations

Author

Listed:
  • Michael A. Crane

    (Control Analysis Corporation, Palo Alto, California)

  • Donald L. Iglehart

    (Stanford University, Stanford, California)

Abstract

This paper shows that a previously developed technique for analyzing simulations of GI / G / s queues and Markov chains applies to discrete-event simulations that can be modeled as regenerative processes. It is possible to address questions of simulation run duration and of starting and stopping simulations because of the existence of a random grouping of observations that produces independent identically distributed blocks in the course of the simulation. This grouping allows one to obtain confidence intervals for a general function of the steady-state distribution of the process being simulated and for the asymptotic cost per unit time. The technique is illustrated with a simulation of a retail inventory distribution system.

Suggested Citation

  • Michael A. Crane & Donald L. Iglehart, 1975. "Simulating Stable Stochastic Systems: III. Regenerative Processes and Discrete-Event Simulations," Operations Research, INFORMS, vol. 23(1), pages 33-45, February.
    • Handle: RePEc:inm:oropre:v:23:y:1975:i:1:p:33-45
    DOI: 10.1287/opre.23.1.33
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.23.1.33
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.23.1.33?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
    ---><---

    Citations

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


    Cited by:

    1. Lamm, R. McFall Jr., 1976. "Estimating Marketing Margin Cost Components: An Application Of Simulation To Products Of The Vegetable Oil Industry," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 8(1), pages 1-5, July.
    2. 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.
    3. Song, Wheyming Tina, 2019. "The Song rule outperforms optimal-batch-size variance estimators in simulation output analysis," European Journal of Operational Research, Elsevier, vol. 275(3), pages 1072-1082.
    4. Song, Wheyming Tina & Chih, Mingchang, 2013. "Run length not required: Optimal-mse dynamic batch means estimators for steady-state simulations," European Journal of Operational Research, Elsevier, vol. 229(1), pages 114-123.
    5. Zhenyu Cui & Michael C. Fu & Jian-Qiang Hu & Yanchu Liu & Yijie Peng & Lingjiong Zhu, 2020. "On the Variance of Single-Run Unbiased Stochastic Derivative Estimators," INFORMS Journal on Computing, INFORMS, vol. 32(2), pages 390-407, April.
    6. Song, Wheyming Tina, 1996. "On the estimation of optimal batch sizes in the analysis of simulation output," European Journal of Operational Research, Elsevier, vol. 88(2), pages 304-319, January.
    7. Yu Hang Jiang & Tong Liu & Zhiya Lou & Jeffrey S. Rosenthal & Shanshan Shangguan & Fei Wang & Zixuan Wu, 2022. "Markov Chain Confidence Intervals and Biases," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 11(1), pages 1-29, March.
    8. 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.
    9. Sandeep Juneja & Perwez Shahabuddin, 2001. "Fast Simulation of Markov Chains with Small Transition Probabilities," Management Science, INFORMS, vol. 47(4), pages 547-562, April.

    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:inm:oropre:v:23:y:1975:i:1:p:33-45. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.