Heavy Traffic Limits for Queues with Many Deterministic Servers
by
Predrag Jelenkovic
,
Avishai Mandelbaum
,
Petar Momcilovic
| Citations: | 22 - 3 self |
BibTeX
@MISC{Jelenkovic_heavytraffic,
author = {Predrag Jelenkovic and Avishai Mandelbaum and Petar Momcilovic},
title = {Heavy Traffic Limits for Queues with Many Deterministic Servers},
year = {}
}
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Abstract
Consider a sequence of stationary GI/D/N queues indexed by N with servers' utilization 1 #/ # N , # > 0. For such queues we show that the scaled waiting times NWN converge to the (finite) supremum of a Gaussian random walk with drift -#.
