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Statistical Results on Control Variables with Application to Queueing Network Simulation

Author

Listed:
  • Stephen S. Lavenberg

    (IBM Thomas J. Watson Research Center, Yorktown Heights, New York)

  • Thomas L. Moeller

    (The Aerospace Corporation, El Segundo, California)

  • Peter D. Welch

    (IBM Thomas J. Watson Research Center, Yorktown Heights, New York)

Abstract

The development and application of control variables for variance reduction in the simulation of a wide class of closed queueing networks is discussed. These networks allow multiple types of customers, priorities and blocking. Alternative methods of generating confidence intervals from independent replications of a simulation are investigated. A result is given which quantifies the loss in variance reduction caused by the estimation of the optimum control coefficients. This loss is an increasing function of the number of control variables. Good variance reduction is obtained providing that the number of control variables remains small.

Suggested Citation

  • Stephen S. Lavenberg & Thomas L. Moeller & Peter D. Welch, 1982. "Statistical Results on Control Variables with Application to Queueing Network Simulation," Operations Research, INFORMS, vol. 30(1), pages 182-202, February.
    • Handle: RePEc:inm:oropre:v:30:y:1982:i:1:p:182-202
    DOI: 10.1287/opre.30.1.182
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    Citations

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    Cited by:

    1. Kenneth W. Bauer & James R. Wilson, 1992. "Control‐variate selection criteria," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(3), pages 307-321, April.
    2. Barry L. Nelson, 2004. "50th Anniversary Article: Stochastic Simulation Research in Management Science," Management Science, INFORMS, vol. 50(7), pages 855-868, July.
    3. Nicola Bruti-Liberati & Christina Nikitopoulos-Sklibosios & Eckhard Platen & Erik Schlögl, 2009. "Alternative Defaultable Term Structure Models," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 16(1), pages 1-31, March.
    4. Athanassios N. Avramidis & Kenneth W. Bauer & James R. Wilson, 1991. "Simulation of stochastic activity networks using path control variates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(2), pages 183-201, April.
    5. Wilson, James R., 1983. "Variance reduction: The current state," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 25(1), pages 55-59.
    6. Peter W. Glynn & Donald L. Iglehart, 1989. "The optimal linear combination of control variates in the presence of asymptotically negligible bias," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(5), pages 683-692, October.
    7. Rayadurgam Srikant & Ward Whitt, 1999. "Variance Reduction in Simulations of Loss Models," Operations Research, INFORMS, vol. 47(4), pages 509-523, August.

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