Monte Carlo Estimation of the Mean Queue Size in a Stationary GI / M /1 Queue

D. J. Daley
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D. J. Daley: University of Washington, Seattle, Washington

Operations Research, 1968, vol. 16, issue 5, 1002-1005

Abstract: The serial correlation coefficients of queue sizes in a stationary GI/M/1 queue are studied. It is shown in particular that when the traffic intensity τ is near 1, estimation of the mean queue size from a simulation run of length N requires that N ≈ K ( l − τ) −2 for some constant K in order that the sample means over a range of τ should have approximately the same coefficient of variation.

Date: 1968
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