15 citations · 15 across the 2 of their papers we have counts for
5 papers
The hydrodynamic limit of a randomized load balancing network
Reza Aghajani, Kavita Ramanan
Randomized load balancing networks arise in a variety of applications, and allow for efficient sharing of resources, while being relatively easy to implement. We consider a network…
The Limit of Stationary Distributions of Many-Server Queues in the Halfin-Whitt Regime
Reza Aghajani, Kavita Ramanan
We consider the so-called GI/GI/N queue, in which a stream of jobs with independent and identically distributed service times arrive as a renewal process to a common queue that is…
A Large Scale Analysis of Unreliable Stochastic Networks
Reza Aghajani, Philippe Robert, Wen Sun
The problem of reliability of a large distributed system is analyzed via a new mathematical model. A typical framework is a system where a set of files are duplicated on several da…
Mean-field Dynamics of Load-Balancing Networks with General Service Distributions
Reza Aghajani, Xingjie Li, Kavita Ramanan
We introduce a general framework for the mean-field analysis of large-scale load-balancing networks with general service distributions. Specifically, we consider a parallel server…
Ergodicity of an SPDE Associated with a Many-Server Queue
Reza Aghajani, Kavita Ramanan
We consider the so-called GI/GI/N queueing network in which a stream of jobs with independent and identically distributed service times arrive according to a renewal process to a c…