84 citations · 127 across the 7 of their papers we have counts for
7 papers
Critical fluid limit of a gated processor sharing queue
H. Christian Gromoll, Katelynn D. Kochalski
We consider a sequence of single-server queueing models operating under a service policy that incorporates batches into processor sharing: arriving jobs build up behind a gate whil…
Quenched Central Limit Theorem in a Corner Growth Setting
H. Christian Gromoll, Mark W. Meckes, Leonid Petrov
We consider point-to-point directed paths in a random environment on the two-dimensional integer lattice. For a general independent environment under mild assumptions we show that…
Heavy Traffic Limit for a Tandem Queue with Identical Service Times
H. Christian Gromoll, Bryce Terwilliger, Bert Zwart
We consider a two-node tandem queueing network in which the upstream queue is M/G/1 and each job reuses its upstream service requirement when moving to the downstream queue. Both s…
Invariance of fluid limits for the Shortest Remaining Processing Time and Shortest Job First policies
H. Christian Gromoll, Martin Keutel
We consider a single-server queue with renewal arrivals and i.i.d. service times, in which the server employs either the preemptive Shortest Remaining Processing Time (SRPT) policy…
Diffusion limits for shortest remaining processing time queues
H. Christian Gromoll, Łukasz Kruk, Amber L. Puha
We present a heavy traffic analysis for a single server queue with renewal arrivals and generally distributed i.i.d. service times, in which the server employs the Shortest Remaini…
Fluid limits for networks with bandwidth sharing and general document size distributions
H. Christian Gromoll, Ruth J. Williams
We consider a stochastic model of Internet congestion control, introduced by Massoulié and Roberts [Telecommunication Systems 15 (2000) 185--201], that represents the randomly vary…