10 citations · 17 across the 3 of their papers we have counts for
6 papers · 1 filter
Large-scale parallel server system with multi-component jobs
Seva Shneer, Alexander Stolyar
A broad class of parallel server systems is considered, for which we prove the steady-state asymptotic independence of server workloads, as the number of servers goes to infinity,…
Discrete-time TASEP with holdback
Seva Shneer, Alexander Stolyar
We study the following interacting particle system. There are particles, , moving clockwise ("right"), in discrete time, on sites arranged in a circle. Each site may…
Stability and moment bounds under utility-maximising service allocations: finite and infinite networks
Seva Shneer, Alexander Stolyar
We study networks of interacting queues governed by utility-maximising service-rate allocations in both discrete and continuous time. For {\em finite} networks we establish stabili…
Join-Idle-Queue with Service Elasticity: Large-Scale Asymptotics of a Non-monotone System
Debankur Mukherjee, Alexander Stolyar
We consider the model of a token-based joint auto-scaling and load balancing strategy, proposed in a recent paper by Mukherjee, Dhara, Borst, and van Leeuwaarden (SIGMETRICS '17, a…
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…
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…