D. Gamarnik

activity

20012024

most citedValidity of heavy traffic steady-state approximations in generalized Jackson Networks

153 citations · 1k across the 72 of their papers we have counts for

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2 papers · 1 filter

math.PR2011★ 1 cited

Multiclass multiserver queueing system in the Halfin-Whitt heavy traffic regime. Asymptotics of the stationary distribution

David Gamarnik, Alexander Stolyar

We consider a heterogeneous queueing system consisting of one large pool of $O (r)$ identical servers, where $r \to \infty$ is the scaling parameter. The arriving customers belong to…

math.PR2011★ 46 cited

Steady-state $GI / GI / n$ queue in the Halfin-Whitt regime

David Gamarnik, David A. Goldberg

We consider the FCFS $GI / GI / n$ queue in the so-called Halfin-Whitt heavy traffic regime. We prove that under minor technical conditions the associated sequence of…

Multiclass multiserver queueing system in the Halfin-Whitt heavy traffic regime. Asymptotics of the stationary distribution

Steady-state GI/GI/n queue in the Halfin-Whitt regime

Steady-state $GI / GI / n$ queue in the Halfin-Whitt regime