147 citations · 273 across the 24 of their papers we have counts for
29 papers
Data Flow Dissemination in a Network
Aditya Gopalan, Alexander Stolyar
We consider the following network model motivated, in particular, by blockchains and peer-to-peer live streaming. Data packet flows arrive at the network nodes and need to be disse…
Parallel server systems with cancel-on-completion redundancy
Alexander Stolyar
We consider a parallel server system with so-called cancel-on-completion redundancy. There are servers and multiple job classes . An arriving class job consists of …
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,…
Large-scale behavior of a particle system with mean-field interaction: Traveling wave solutions
Alexander Stolyar
We use probabilistic methods to study properties of mean-field models, arising as large-scale limits of certain particle systems with mean-field interaction. The underlying particl…
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…