232 citations · 701 across the 83 of their papers we have counts for
5 papers · 2 filters
Supermarket Model on Graphs
Amarjit Budhiraja, Debankur Mukherjee, Ruoyu Wu
We consider a variation of the supermarket model in which the servers can communicate with their neighbors and where the neighborhood relationships are described in terms of a suit…
Control Policies Approaching HGI Performance in Heavy Traffic for Resource Sharing Networks
Amarjit Budhiraja, Dane Johnson
We consider resource sharing networks of the form introduced in the work of Massoulié and Roberts(2000) as models for Internet flows. The goal is to study the open problem, formula…
Large Deviation Principle for the Exploration Process of the Configuration Model
Shankar Bhamidi, Amarjit Budhiraja, Paul Dupuis +1
The configuration model is a sequence of random graphs constructed such that in the large network limit the degree distribution converges to a pre-specified probability distributio…
Diffusion Approximations for Load Balancing Mechanisms in Cloud Storage Systems
Amarjit Budhiraja, Eric Friedlander
In large storage systems, files are often coded across several servers to improve reliability and retrieval speed. We study load balancing under the Batch Sampling routing scheme f…
Large Deviations for Small Noise Diffusions in a Fast Markovian Environment
Amarjit Budhiraja, Paul Dupuis, Arnab Ganguly
A large deviation principle is established for a two-scale stochastic system in which the slow component is a continuous process given by a small noise finite dimensional Itô stoch…