5 citations · 8 across the 4 of their papers we have counts for
5 papers
Convergence properties of many parallel servers under power-of-D load balancing
Maria Clara Fittipaldi, Matthieu Jonckheere, Sergio I. Lopez
We consider a system of N queues with decentralized load balancing such as power-of-D strategies(where D may depend on N) and generic scheduling disciplines. To measure the depende…
Attractiveness of Brownian queues in tandem
Eric A. Cator, Sergio I. Lopez, Leandro P. R. Pimentel
Consider a sequence of n bi-infinite and stationary Brownian queues in tandem. Assume that the arrival process entering in the first queue is a zero mean ergodic process. We prove…
Geodesic Forests in the Last-Passage Percolation
Sergio I. Lopez, Leandro P. R. Pimentel
The aim of this article is to study the forest composed by point-to-line geodesics in the last-passage percolation model with exponential weights. We will show that the location of…
Convergence of tandem Brownian queues
Sergio I. López
It is known that in a stationary Brownian queue with both arrival and service processes equal in law to Brownian motion, the departure process is a Brownian motion, that is, Burke'…
Large deviations of the stationary measure of networks under proportional fair allocations
Matthieu Jonckheere, Sergio López
We address a conjecture introduced by Massoulié (2007), concerning the large deviations of the stationary measure of bandwidth-sharing networks functioning under the Proportional f…