Monte Carlo Estimation of the Mean Queue Size in a Stationary GI/M/1 Queue
- 1 October 1968
- journal article
- Published by Institute for Operations Research and the Management Sciences (INFORMS) in Operations Research
- Vol. 16 (5) , 1002-1005
- https://doi.org/10.1287/opre.16.5.1002
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.Keywords
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