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Achieving specific accuracy in simulation output analysis

Published: 01 May 1977 Publication History

Abstract

This paper extends the use of the regenerative property of queueing systems in the analysis of simulation output. In particular, it describes a sequential estimation method which when used with the regenerative property allows results to be obtained with specified statistical accuracy. This method includes a test to check the normality assumption on which the sequential procedure relies. The paper illustrates the method using the empty and idle state as the regenerative state. A second example then describes how using the most frequently entered state as the regenerative state reduces the chance of making a costly error in a preliminary simulation run. The paper also described how a variance reduction method due to Page [9] can be used to obtain a specified accuracy with considerably fewer job completions than are required when no variance reduction technique is applied.

References

[1]
Chow, Y.S., and Robbins, H. On the asymptotic theory of fixed width sequential confidence intervals for the mean. Ann. Math. Stat. 36 (1965), 457-462.
[2]
Cox, D.R. Estimation by double sampling. Biometrika 39 (1952), 217-227.
[3]
Crane, M.A., and Iglehart, D.I. Simulating stable stochastic systems, I: General multiserver queues. J. ACM 21, 1 (Jan. 1974), 103-113.
[4]
Crane, M.A., and Iglehart, D.I. Simulating stable stochastic systems, II: Markov chains. J. ACM21, 1 (Jan. 1974), 114--123.
[5]
Fishman, G.S. Concepts and Methods in Discrete Event Digital Simulation. Wiley, New York, 1973.
[6]
Fishman, G.S. Statistical analysis for queueing simulations. Manage Sci. 20, 3 (Nov. 1973), 363-369.
[7]
Fishman, G.S. Estimation in multiserver queueing simulations. Oper. Res. 22, 1 (Jan.-Feb., 1974), 72-78.
[8]
Fishman, G.S. Simulation data analysis using continuous time markov processes. Tech. Rep. No. 74-1, Oper. Res. and Syst. Analysis, U. of North Carolina, Chapel Hill, N.C., Nov. 1974.
[9]
Page, E.S. On Monte Carlo methods in congestion problems II: Simulation of queueing systems. Oper. Res. 13, 2 (1965), 300-305.
[10]
Shapiro, S.S., and Wilk, M.B. An analysis of variance test for normality. Biometrika 52, 3 and 4 (1965), 591-611.
[11]
Shapiro, S.S., Wilk, M.B., and Chen, H.J. A comparative study of various tests of normality. J. ASA 63, (1968), 1343-1372.
[12]
Starr, N. The performance of a sequential procedure for the fixed-width interval estimation of the mean. Ann. Math. Stat. 37, 1 (Feb. 1966), 36-50.
[13]
Tin, M. Comparison of some ratio measures. J. ASA 60 (1965), 294--307.

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    Published In

    cover image Communications of the ACM
    Communications of the ACM  Volume 20, Issue 5
    May 1977
    69 pages
    ISSN:0001-0782
    EISSN:1557-7317
    DOI:10.1145/359581
    Issue’s Table of Contents
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 01 May 1977
    Published in CACM Volume 20, Issue 5

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    Author Tags

    1. confidence interval
    2. ratio estimator
    3. regenerative property
    4. sequential estimation
    5. simulation
    6. stopping rule
    7. variance reduction

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