Bounds on the delay distribution inGI/G/1 queues
- 1 June 1974
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 11 (2) , 417-421
- https://doi.org/10.2307/3212767
Abstract
Bounds are obtained for the limiting distribution of the delay in queue for aGI/G/1 system via Martingale theory. These bounds are somewhat stronger than similar bounds recently obtained by Kingman. Simplifications of the bounds are obtained in the special cases where the service distribution is either IFR, DFR, NBU or NWU.Keywords
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