The basic adjoint relationship (BAR) approach is an analysis technique based on the
stationary equation of a Markov process. This approach was introduced to study heavy …

We study a load balancing system in the many-server heavy-traffic regime. We consider a
system with N servers, where jobs arrive to the system according to a Poisson process and …

This paper considers the steady-state performance of load balancing algorithms in a many-
server system with distributed queues. The system has servers, and each server maintains a …

Consider a system with N identical single-server queues and a number of task types, where
each server is able to process only a small subset of possible task types. Arriving tasks …

We study the heavy-traffic limit of the generalized switch operating under MaxWeight,
without assuming that the complete resource pooling condition is satisfied and allowing for …

The present paper establishes an explicit multi-dimensional state space collapse (SSC) for
parallel-processing systems with arbitrary compatibility constraints between servers and job …

This paper studies the sensitivity (or insensitivity) of a class of load balancing algorithms that
achieve asymptotic zero-waiting in the sub-Halfin-Whitt regime, named LB-zero. Most …

We compare stability regions for different power flow models in the process of charging
electric vehicles (EVs) by considering their random arrivals, their stochastic demand for …

When Dutch parents divorce, Dutch law dictates that the parental contributions to cover the
financial needs of the children have to be proportionally consistent. This rule is clear when …

Many modern computing workloads are composed of parallelizable jobs. A single
parallelizable job can be completed more quickly if it is run on additional servers, however …