10 citations · 17 across the 3 of their papers we have counts for
3 papers
math.PR2015★ 6 cited
MaxWeight Scheduling: Asymptotic Behavior of Unscaled Queue-Differentials in Heavy Traffic
Rahul Singh, Alexander Stolyar
The model is a "generalized switch", serving multiple traffic flows in discrete time. The switch uses MaxWeight algorithm to make a service decision (scheduling choice) at each tim…
math.OC2012★ 10 cited
A large-scale service system with packing constraints: Minimizing the number of occupied servers
Alexander L. Stolyar, Yuan Zhong
We consider a large-scale service system model motivated by the problem of efficient placement of virtual machines to physical host machines in a network cloud, so that the total n…
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 identical servers, where is the scaling parameter. The arriving customers belong to…