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Confidence Intervals for Steady-State Simulations II: A Survey of Sequential Procedures

Published: 01 May 1982 Publication History

Abstract

We continue our survey of methods for constructing confidence intervals for steady-state means via simulation by studying sequential procedures which determine the length of the simulation during the course of the run. Our goal is to provide the simulation practitioner with some guidance as to which published procedures might actually perform well in practice. Empirical results for a variety of stochastic models with known steady-state means suggest that sequential procedures by Fishman and by Law and Carson provide good performance relative to the criterion probability of coverage.

References

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CHOW, Y. S. AND ROBBINS, H., "On the Asymptotic Theory of Fixed-Width Sequential Confidence Intervals for the Mean," Ann. Math. Statist., Vol. 36 (1965), pp. 457-462.
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CRANE, M. A. AND IGLEHART, D. L., "Simulating Stable Stochastic Systems, I: General Multiserver Queues," J. Assoc. Comput. Mach., Vol. 21 (1974), pp. 103-113.
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LAW, A. M. AND CARSON, J. S., "A Sequential Procedure for Determining the Length of a Steady-State Simulation," Operations Res., Vol. 27 (1979), pp. 1011-1025.
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  1. Confidence Intervals for Steady-State Simulations II: A Survey of Sequential Procedures

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      Published In

      cover image Management Science
      Management Science  Volume 28, Issue 5
      May 1982
      144 pages

      Publisher

      INFORMS

      Linthicum, MD, United States

      Publication History

      Published: 01 May 1982

      Author Tags

      1. confidence invervals
      2. sequential procedures
      3. simulation
      4. steady-state simulations
      5. stopping rules

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