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

Harold J. Steudel and S. M. Wu
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Harold J. Steudel: Marquette University
S. M. Wu: University of Wisconsin-Madison

Management Science, 1977, vol. 23, issue 7, 745-755

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.

Date: 1977
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:23:y:1977:i:7:p:745-755

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