The multiserver job queueing model
M Harchol-Balter - Queueing Systems, 2022 - Springer
A great deal of queueing theory is devoted to studying multiserver models, such as the
M/G/n. A key feature of such models is that each job runs on a single server. Unfortunately …
M/G/n. A key feature of such models is that each job runs on a single server. Unfortunately …
Simple and Explicit Bounds for Multiserver Queues with Scaling
Y Li, DA Goldberg - Mathematics of Operations Research, 2024 - pubsonline.informs.org
We consider the first-come-first-serve (FCFS) GI/GI/n queue and prove the first simple and
explicit bounds that scale as 1 1− ρ under only the assumption that interarrival times have …
explicit bounds that scale as 1 1− ρ under only the assumption that interarrival times have …
[PDF][PDF] Optimal Scheduling in Modern Queueing Systems
I Grosof - 2022 - isaacg1.github.io
Computer systems contain a multitude of queues: Network switches serving packets,
databases serving queries, processors serving processes, caches responding to loads and …
databases serving queries, processors serving processes, caches responding to loads and …
[PDF][PDF] Simple and explicit bounds for multi-server queues with
Y Li, DA Goldberg - people.orie.cornell.edu
Our main proofs proceed by explicitly analyzing the bounding process which arises in the
stochastic comparison bounds of Gamarnik and Goldberg [49] for multi-server queues …
stochastic comparison bounds of Gamarnik and Goldberg [49] for multi-server queues …
Simple and explicit bounds for multi-server queues with scaling
DA Goldberg, Y Li - arXiv preprint arXiv:1706.04628, 2017 - arxiv.org
We consider the FCFS $ GI/GI/n $ queue, and prove the first simple and explicit bounds that
scale as $\frac {1}{1-\rho} $ under only the assumption that inter-arrival times have finite …
scale as $\frac {1}{1-\rho} $ under only the assumption that inter-arrival times have finite …