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A Time Series Approach to Queueing Systems with Applications for Modeling Job-Shop In-Process Inventories

Author

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  • Harold J. Steudel

    (Marquette University)

  • S. M. Wu

    (University of Wisconsin-Madison)

Abstract

The behavior of a uniformly sampled queueing system is characterized and interpreted using a time series approach. The advantages of employing time series to obtain a model of the queue's behavior are shown to be simplicity, flexibility and reliability. An analysis of actual queue data shows that the queue behavior of a uniformly sampled queueing system with a single server and Poisson-exponential activities is adequately described by a first order autoregressive model. The autocorrelation function is used to relate queueing theory and the time series model to obtain the commonly required parameters for a queueing system, in a manner independent of the mean level of the queue.

Suggested Citation

  • Harold J. Steudel & S. M. Wu, 1977. "A Time Series Approach to Queueing Systems with Applications for Modeling Job-Shop In-Process Inventories," Management Science, INFORMS, vol. 23(7), pages 745-755, March.
    • Handle: RePEc:inm:ormnsc:v:23:y:1977:i:7:p:745-755
    DOI: 10.1287/mnsc.23.7.745
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    Cited by:

    1. Kleijnen, J.P.C., 1977. "Generalizing simulation results through metamodels," Other publications TiSEM e671b2d6-c334-4938-99aa-3, Tilburg University, School of Economics and Management.

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