Kumar, Anurag (1992) On the average idle time and average queue length estimates in an M/M/1 queue Operations Research Letters, 12 (3). pp. 153-157. ISSN 0167-6377
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Official URL: http://www.sciencedirect.com/science/article/pii/0...
Related URL: http://dx.doi.org/10.1016/0167-6377(92)90099-O
Abstract
We study the bias in the means of average idle time and average queue length estimates, over the interval [0, t], in a transient M/M/1 queue. We develop some formulas, in terms of the busy period distribution, that show that the bias is O(1/t). These formulas yield simple bounds for the means of the transient estimates. The bound for the bias in the mean of the average idle time estimate is also shown to be an excellent approximation.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Transient Analysis of a Queue; Measurement and Estimation in a Queue |
| ID Code: | 60688 |
| Deposited On: | 10 Sep 2011 11:49 |
| Last Modified: | 10 Sep 2011 11:49 |
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