45 citations · 69 across the 25 of their papers we have counts for
5 papers · 2 filters
Stability of two-dimensional Markov processes, with an application to QBD processes with an infinite number of phases
Stella Kapodistria, Seva Shneer
In this paper, we derive a simple drift condition for the stability of a class of two-dimensional Markov processes, for which one of the coordinates (also referred to as the {\em p…
Asymptotics for cliques in scale-free random graphs
Fraser Daly, Alastair Haig, Seva Shneer
In this paper we establish asymptotics (as the size of the graph grows to infinity) for the expected number of cliques in the Chung--Lu inhomogeneous random graph model in which ve…
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,…
The empirical mean position of a branching Lévy process
David Cheek, Seva Shneer
We consider a supercritical branching Lévy process on the real line. Under mild moment assumptions on the number of offspring and their displacements, we prove a second-order limit…
Stability of JSQ in queues with general server-job class compatibilities
James Cruise, Matthieu Jonckheere, Seva Shneer
We consider Poisson streams of exponentially distributed jobs arriving at each edge of a hypergraph of queues. Upon arrival, an incoming job is rooted to the shortest queue among t…