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BOUNDING THE STATIONARY DISTRIBUTION OF THE M/G/1 QUEUE SIZE
Published online by Cambridge University Press: 19 September 2006
Abstract
We start with a simple derivation of an identity connecting the conditional expected residual service time as seen by an arrival and the steady-state tail distribution function of the number of customers in the system, which was previously proven by Mandelbaum and Yechiali. We then show how to use it to obtain bounds on the the stationary distribution of the number of customers in the M/G/1 queue.
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 20 , Issue 4 , October 2006 , pp. 571 - 574
- Copyright
- © 2006 Cambridge University Press
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